Chapter 14: Mergers, Acquisitions & Corporate Restructuring
1. Core Concepts & Theoretical Architecture
14.1 Conceptual Framework & Legal Architecture under Companies Act, 2013
Corporate restructuring involves substantial organizational, financial, operational, or ownership modifications aimed at unlocking trapped value, achieving synergies, and enhancing shareholder wealth.
| Term | Legal Definition & Statutory Character | Corporate Identity Post-Transaction |
|---|---|---|
| Merger / Absorption | Combination of two or more corporate entities where one existing entity absorbs the other(s). The absorbed entity dissolves without winding up. | Only the absorbing company survives; the target company ceases to exist legally. |
| Amalgamation / Consolidation | Two or more existing entities blend together to form an entirely new third entity (blending of existing undertakings as per Halsbury's Laws of England). | All combining entities dissolve; a brand-new incorporated entity survives. |
| Acquisition / Takeover | One company acquires a controlling equity interest (or substantial asset block) of another target company. | Both companies continue their separate corporate legal existences (holding-subsidiary relationship). |
| Statutory Scheme (Sec 230–240) | Chapter XV of the Companies Act, 2013 provides the comprehensive legal regime for compromises, arrangements, and amalgamations subject to National Company Law Tribunal (NCLT) sanction. | Includes Fast-Track Mergers (Sec 233 for small companies/wholly-owned subsidiaries) and Cross-Border Mergers (Sec 234). |
14.2 Synergy & Strategic Motives for M&A
The cardinal rationale underpinning corporate combinations is Synergy, mathematically expressed as $V(AB) > V(A) + V(B)$ (the "$2 + 2 = 5$" phenomenon):
| Type of Synergy | Underlying Economic Mechanism | Financial Manifestation |
|---|---|---|
| Operating Synergy | Achieved through economies of scale (spreading fixed overheads over larger production volumes), economies of scope, supply chain rationalization, and enhanced market pricing power. | Higher operating margins, lower per-unit Cost of Goods Sold (COGS), eliminated redundant corporate departments. |
| Financial Synergy | Arises from lower cost of capital, enhanced debt borrowing capacity ("coinsurance effect"), optimal tax shield utilization, and surplus cash redeployment into positive NPV projects. | Reduced Weighted Average Cost of Capital (WACC), set-off of accumulated unabsorbed tax losses under Section 72A of the Income Tax Act. |
| Managerial Synergy | Replacement of inefficient target management with the acquirer's superior executive talent and operational protocols. | Immediate productivity gains, improved corporate governance, and asset turnover enhancement. |
14.3 Forms and Classifications of Mergers
- Horizontal Merger: Combination of two direct competitors operating in the same industry at the same stage of production (e.g., Vodafone & Idea). Primary driver is market share expansion and elimination of duplicate marketing costs. Strictly scrutinized by the Competition Commission of India (CCI) for anti-competitive concentration.
- Vertical Merger: Combination of two firms operating at different stages of the same supply/production chain:
- Forward Integration: Moving closer to the end consumer (e.g., car manufacturer buying retail dealership showrooms).
- Backward Integration: Moving upstream to secure raw material supply (e.g., steel manufacturer acquiring iron ore mines).
- Conglomerate Merger: Combination of completely unrelated business entities operating in different industries (e.g., tobacco company acquiring hotels and software firms). Driven by diversification and cash redeployment.
- Congeneric (Market/Product Extension) Merger: Combination of firms operating in related spaces sharing distribution channels or technology, without direct competitor status (e.g., bank acquiring an insurance brokerage).
14.4 Financial Framework: Swap Ratio & Valuation
The share exchange ratio (Swap Ratio) determines the number of acquirer shares issued for each share of the target company:
• Earnings Per Share (EPS) Basis: $\text{Swap Ratio} = \frac{\text{EPS}_{\text{Target}}}{\text{EPS}_{\text{Acquirer}}}$ (Preserves pre-merger combined EPS without dilution).
• Market Price per Share (MPS) Basis: $\text{Swap Ratio} = \frac{\text{MPS}_{\text{Target}}}{\text{MPS}_{\text{Acquirer}}}$.
• Book Value / Net Asset Value (NAV) Basis: $\text{Swap Ratio} = \frac{\text{NAV}_{\text{Target}}}{\text{NAV}_{\text{Acquirer}}}$.
• Combined / Fair Exchange Ratio: Weighted average of NAV, PECV, and MPS as sanctioned by valuation experts.
Post-Merger Financial Impact Metrics
$$\text{Total Post-Merger Shares } (N_{AB}) = N_A + (N_B \times \text{Swap Ratio})$$
$$\text{Combined Earnings } (E_{AB}) = E_A + E_B + \text{Synergy Benefit}$$
$$\text{Post-Merger EPS } (EPS_{AB}) = \frac{E_{AB}}{N_{AB}}$$
$$\text{Post-Merger Market Capitalization } (MV_{AB}) = MV_A + MV_B + \text{Present Value of Synergy} - \text{Cash Consideration}$$
14.5 Hostile Takeovers & Comprehensive Defensive Tactics
When an acquirer attempts an uninvited hostile takeover, target management employs proactive pre-bid and reactive post-bid defenses:
| Defensive Weapon | Tactical Timing | Operational Mechanism |
|---|---|---|
| Poison Pill (Shareholder Rights Plan) | Pre-Bid | Existing shareholders (excluding the hostile bidder) receive rights to buy massive additional shares at a steep discount once a hostile acquirer crosses a specified threshold (e.g., 15%). This dilutes the raider's stake and makes acquisition prohibitively expensive. |
| Shark Repellents | Pre-Bid | Anti-takeover corporate charter amendments, such as a Staggered Board (only one-third of directors re-elected each year, delaying hostile control by 2–3 years) or Supermajority Voting (requiring 80% shareholder approval for mergers). |
| Golden Parachutes | Pre-Bid | Extravagant contractual termination payoffs guaranteed to top executives if removed post-acquisition, increasing the total takeover cash burden. |
| White Knight | Post-Bid | Target company invites a friendly, sympathetic acquirer ("White Knight") to rescue it by launching a competing higher tender bid to defeat the hostile raider. |
| White Squire | Post-Bid | Target places a strategic minority block of voting shares in the hands of a friendly institutional partner who pledges not to tender to the hostile raider. |
| Pac-Man Defense | Post-Bid | The target company turns the tables and launches a retaliatory hostile tender offer to acquire the original hostile predator company itself! |
| Crown Jewel Defense | Post-Bid | Target sells off its most prized, lucrative operating division or technology patent (the "crown jewel" that the raider was coveting) to destroy the motive for the takeover. |
| Greenmail | Post-Bid | Target company uses corporate cash to buy back the hostile raider's accumulated stock holding at a substantial premium over market price in exchange for a "standstill agreement". |
14.6 Corporate Restructuring, Divestitures & Demergers
Corporate contraction strategies seek to streamline operations by shedding non-core assets:
| Restructuring Technique | Cash Flow to Parent | Shareholder Ownership Structure | New Legal Entity Created? |
|---|---|---|---|
| Sell-off | Direct Cash Inflow: Parent sells division to third party. | No shares distributed to parent shareholders. | No. Division absorbed by buyer. |
| Spin-off | Zero Cash Inflow: Division hived off into new independent entity. | Shares of new entity distributed pro-rata to existing parent shareholders for free. | Yes. New listed company with identical initial shareholding. |
| Split-off | Zero Cash: Capital retirement mechanism. | Parent shareholders surrender a portion of parent shares in exchange for shares in the new entity. | Yes. Ownership base separates. |
| Equity Carve-out | Direct Cash Inflow: Parent sells minority equity stake in subsidiary via public IPO. | New public shareholders join alongside parent (which retains majority control). | Yes. Subsidiary becomes a separate listed public company. |
14.7 Reverse Mergers & Special Purpose Acquisition Companies (SPACs)
Reverse Merger (Backdoor Listing)
A corporate transaction where a healthy, profitable, unlisted private company merges into an active or dormant public listed company (often a sick or shell company). Characteristics include:
- Bypassing IPO Formalities: Avoids extensive prospectus filing, underwriting commissions, market roadshows, and volatile IPO timing risk.
- Tax Benefit under Section 72A: Accumulated unabsorbed depreciation and business losses of the loss-making listed company can be set off against future taxable profits of the profitable business.
- Control Shift: The private company's shareholders receive a majority equity stake in the merged entity, thereby controlling the publicly listed company.
Special Purpose Acquisition Companies (SPACs)
A SPAC ("Blank Check Company") is an entity with no commercial operations formed solely to raise capital through an IPO for the purpose of acquiring or merging with an existing private operating company within a specified timeframe (typically 24 months):
- IPO proceeds are held safely in an interest-bearing escrow trust account.
- If a target combination ("De-SPAC transaction") is not consummated within 24 months, the trust funds are fully returned to public investors.
2. ICAI Study Material Illustrations (Worked in Full)
XYZ Ltd. - Internal Financial Reconstruction & Capital Reduction
The following is the Balance Sheet of XYZ Ltd. as on March 31st, 2013 (in ₹ Lakhs):
| Liabilities | Amount (₹ L) | Assets | Amount (₹ L) |
|---|---|---|---|
| 6 lakh Equity Shares of ₹ 100 each | 600 | Land & Building | 200 |
| 2 lakh 14% Preference Shares of ₹ 100 each | 200 | Plant & Machinery | 300 |
| 13% Debentures | 200 | Current Assets | 100 |
| Current Liabilities | 100 | Profit & Loss Account (Loss) | 500 |
| Total | 1,100 | Total | 1,100 |
A scheme of internal reconstruction was approved by the Court with the following terms:
- Equity shares are to be reduced to ₹ 20 each fully paid.
- Preference shares are to be reduced to ₹ 50 each fully paid.
- Debenture holders agreed to reduce their claims by ₹ 50 Lakhs in exchange for allotment of ₹ 50 Lakhs worth of new 14% debentures and ₹ 100 Lakhs cash (or equity).
- The debit balance of Profit & Loss account is to be completely written off.
- Land & Building is appreciated by ₹ 50 Lakhs, and Plant & Machinery is written down to ₹ 200 Lakhs.
Show the Capital Reduction Account and the Balance Sheet of the reconstructed company.
1. Capital Reduction Account (₹ in Lakhs)
| Particulars | Amount (₹ L) | Particulars | Amount (₹ L) |
|---|---|---|---|
| To Profit & Loss A/c (Written off) | 500.00 | By Equity Share Capital ($6\text{L} \times ₹ 80$) | 480.00 |
| To Plant & Machinery (Written down) | 100.00 | By 14% Preference Capital ($2\text{L} \times ₹ 50$) | 100.00 |
| To Capital Reserve (Balancing figure) | 30.00 | By 13% Debentures (Claim waived) | 50.00 |
| By Land & Building (Appreciation) | 50.00 | ||
| Total | 680.00 | Total | 680.00 |
2. Balance Sheet of XYZ Ltd. (Post-Reconstruction)
| Liabilities | Amount (₹ L) | Assets | Amount (₹ L) |
|---|---|---|---|
| 6 lakh Equity Shares of ₹ 20 each | 120.00 | Land & Building ($200 + 50$) | 250.00 |
| 2 lakh Preference Shares of ₹ 50 each | 100.00 | Plant & Machinery ($300 - 100$) | 200.00 |
| Capital Reserve | 30.00 | Current Assets | 100.00 |
| 14% Debentures ($200 - 50$) | 150.00 | ||
| Current Liabilities | 100.00 | ||
| Total Liabilities | 550.00 | Total Assets | 550.00 |
The company has completely wiped out its accumulated fictitious losses of ₹ 500 Lakhs and restructured assets to fair value, creating a clean balance sheet with a Capital Reserve of ₹ 30 Lakhs.
Company X & Company Y - Swap Ratio (EPS vs MPS Basis)
Company X is contemplating the purchase of Company Y. Company X has 3,00,000 shares having a market price of ₹ 30 per share, while Company Y has 2,00,000 shares selling at ₹ 20 per share. The EPS are ₹ 4.00 and ₹ 2.25 for Company X and Y respectively. Managements of both companies are discussing two alternative proposals for exchange of shares:
- In proportion to the relative earnings per share of two companies.
- In proportion to the relative market prices per share of two companies.
You are required to calculate the post-merger EPS and impact on both sets of shareholders under both proposals.
Proposal (i): Exchange in Proportion to Relative EPS
$$\text{Swap Ratio} = \frac{\text{EPS}_Y}{\text{EPS}_X} = \frac{₹ 2.25}{₹ 4.00} = \mathbf{0.5625 \text{ shares of X for 1 share of Y}}$$
New shares issued to Y = $2,00,000 \times 0.5625 = \mathbf{1,12,500 \text{ shares}}$.
Total post-merger shares = $3,00,000 + 1,12,500 = \mathbf{4,12,500 \text{ shares}}$.
Combined Earnings = $(3,00,000 \times ₹ 4) + (2,00,000 \times ₹ 2.25) = ₹ 12,00,000 + ₹ 4,50,000 = \mathbf{₹ 16,50,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 16,50,000}{4,12,500} = \mathbf{₹ 4.00 \text{ per share}}$$
• Company X Shareholders: Pre-merger EPS = ₹ 4.00; Post-merger EPS = ₹ 4.00. Zero dilution / change.
• Company Y Shareholders: Equivalent EPS = $₹ 4.00 \times 0.5625 = \mathbf{₹ 2.25}$. Zero dilution / change.
Proposal (ii): Exchange in Proportion to Relative Market Prices
$$\text{Swap Ratio} = \frac{\text{MPS}_Y}{\text{MPS}_X} = \frac{₹ 20.00}{₹ 30.00} = \mathbf{0.6667 \text{ shares of X for 1 share of Y (or 2:3)}}$$
New shares issued to Y = $2,00,000 \times \frac{2}{3} = \mathbf{1,33,333 \text{ shares}}$.
Total post-merger shares = $3,00,000 + 1,33,333 = \mathbf{4,33,333 \text{ shares}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 16,50,000}{4,33,333} = \mathbf{₹ 3.8077 \approx ₹ 3.81 \text{ per share}}$$
• Company X Shareholders: EPS decreases from ₹ 4.00 to ₹ 3.81 (Dilution of ₹ 0.19 per share).
• Company Y Shareholders: Equivalent EPS = $₹ 3.8077 \times 0.6667 = \mathbf{₹ 2.5385 \approx ₹ 2.54}$. (Accretion from ₹ 2.25 to ₹ 2.54 per share).
• Under EPS Swap Ratio (0.5625): EPS remains exactly neutral at ₹ 4.00 for X and ₹ 2.25 for Y.
• Under Market Price Swap Ratio (0.6667): Acquirer X suffers EPS dilution (-4.75%) while target Y enjoys an EPS gain (+12.89%).
A Ltd. Acquiring B Ltd. - Post-Merger EPS & Required P/E Multiple
A Ltd. is studying the possible acquisition of B Ltd. by way of merger. The following data are available:
| Firm | After-tax Earnings (PAT) | No. of Equity Shares | Market Price per Share |
|---|---|---|---|
| A Ltd. | ₹ 10,00,000 | 2,00,000 | ₹ 75 |
| B Ltd. | ₹ 3,00,000 | 50,000 | ₹ 60 |
You are required to determine:
- If the merger goes through by exchange of equity shares and the exchange ratio is based on current market prices, what is the new EPS for A Ltd.?
- What must the exchange ratio be for A Ltd.'s pre-merger and post-merger EPS to remain unchanged?
- What must the post-merger P/E ratio be for the share price of A Ltd. to remain at ₹ 75?
Part (i): Exchange Ratio Based on Current Market Prices
$$\text{Swap Ratio} = \frac{\text{MPS}_B}{\text{MPS}_A} = \frac{₹ 60}{₹ 75} = \mathbf{0.80 \text{ shares of A for 1 share of B}}$$
New shares issued to B Ltd. = $50,000 \times 0.80 = \mathbf{40,000 \text{ shares}}$.
Total post-merger shares = $2,00,000 + 40,000 = \mathbf{2,40,000 \text{ shares}}$.
Combined Total Earnings = $₹ 10,00,000 + ₹ 3,00,000 = \mathbf{₹ 13,00,000}$.
$$\mathbf{\text{New EPS of A Ltd.}} = \frac{₹ 13,00,000}{2,40,000} = \mathbf{₹ 5.4167 \approx ₹ 5.42 \text{ per share}}$$
Pre-merger EPS of A Ltd. was $₹ 10,00,000 \div 2,00,000 = ₹ 5.00$. Post-merger EPS increases from ₹ 5.00 to ₹ 5.42 (Accretive merger).
Part (ii): Exchange Ratio for Unchanged EPS of A Ltd. (₹ 5.00)
To keep A Ltd.'s EPS at ₹ 5.00:
$$\text{Total Post-Merger Shares Required} = \frac{\text{Combined Earnings}}{\text{Target EPS}} = \frac{₹ 13,00,000}{₹ 5.00} = 2,60,000 \text{ shares}$$
New shares to B Ltd. = $2,60,000 - 2,00,000 = 60,000 \text{ shares}$.
$$\mathbf{\text{Required Exchange Ratio}} = \frac{60,00,0}{50,000} = \mathbf{1.20 \text{ shares of A for 1 share of B}}$$
(Notice: $\frac{\text{EPS}_B}{\text{EPS}_A} = \frac{₹ 6.00}{₹ 5.00} = 1.20$).
Part (iii): Post-Merger P/E Ratio to Maintain MPS at ₹ 75
$$\text{Post-Merger MPS} = \text{Post-Merger EPS} \times \text{Post-Merger P/E Ratio}$$
$$₹ 75 = ₹ 5.4167 \times \text{P/E Ratio}$$
$$\mathbf{\text{Required P/E Ratio}} = \frac{₹ 75}{₹ 5.4167} = \mathbf{13.846 \approx 13.85 \text{ times}}$$
(Pre-merger P/E of A Ltd. was $75 / 5 = 15.00$).
• (i) New EPS = ₹ 5.42 per share.
• (ii) Exchange Ratio for neutral EPS = 1.20.
• (iii) Required P/E ratio to maintain ₹ 75 price = 13.85 times.
Simpson Ltd. & Wilson Ltd. - Sensitivity of Shareholder Impact
Simpson Ltd. is considering a merger with Wilson Ltd. The financial data are as follows:
| Particulars | Simpson Ltd. | Wilson Ltd. |
|---|---|---|
| Earnings After Tax (PAT) | ₹ 1,50,000 | ₹ 30,000 |
| Number of Shares | 1,00,000 | 25,000 |
| Earnings Per Share (EPS) | ₹ 1.50 | ₹ 1.20 |
| Market Price per Share (MPS) | ₹ 30.00 | ₹ 12.00 |
| P/E Ratio | 20 times | 10 times |
Both boards are considering three alternative possibilities of issuing 20,000, 25,000, and 30,000 shares of Simpson Ltd. in exchange for all 25,000 shares of Wilson Ltd. Construct a comparative table demonstrating the potential impact on each set of shareholders (assuming combined P/E remains 20).
Comparative Analysis Across the Three Possibilities
Combined Total Earnings = ₹ 1,50,000 + ₹ 30,000 = ₹ 1,80,000.
Combined P/E Ratio = 20 times.
| Particulars | Scheme A (20,000 Shares) | Scheme B (25,000 Shares) | Scheme C (30,000 Shares) |
|---|---|---|---|
| Swap Ratio (New shares ÷ 25,000) | 0.80 | 1.00 | 1.20 |
| Total Combined Shares | 1,20,000 | 1,25,000 | 1,30,000 |
| Combined Post-Merger EPS ($1,80,000 \div \text{Shares}$) | ₹ 1.50 | ₹ 1.44 | ₹ 1.385 |
| Post-Merger Market Price (MPS) ($\text{EPS} \times 20$) | ₹ 30.00 | ₹ 28.80 | ₹ 27.69 |
| Impact on Simpson Ltd. Shareholders (Pre: EPS ₹ 1.50, MPS ₹ 30.00): | |||
| • Change in EPS | Nil (₹ 1.50) | -₹ 0.06 (-4.0%) | -₹ 0.115 (-7.7%) |
| • Change in MPS | Nil (₹ 30.00) | -₹ 1.20 (-4.0%) | -₹ 2.31 (-7.7%) |
| Impact on Wilson Ltd. Shareholders (Pre: EPS ₹ 1.20, MPS ₹ 12.00): | |||
| • Equivalent EPS ($\text{Combined EPS} \times \text{Swap Ratio}$) | $1.50 \times 0.8 = \mathbf{₹ 1.20}$ | $1.44 \times 1.0 = \mathbf{₹ 1.44}$ | $1.385 \times 1.2 = \mathbf{₹ 1.66}$ |
| • Equivalent MPS ($\text{Combined MPS} \times \text{Swap Ratio}$) | $30 \times 0.8 = \mathbf{₹ 24.00}$ | $28.80 \times 1.0 = \mathbf{₹ 28.80}$ | $27.69 \times 1.2 = \mathbf{₹ 33.23}$ |
| • Gain per share in Market Price | +₹ 12.00 (+100%) | +₹ 16.80 (+140%) | +₹ 21.23 (+177%) |
• Scheme A (20,000 shares): The optimal scheme for Simpson Ltd., resulting in zero dilution for Simpson shareholders while still doubling the market value of Wilson shareholders' holdings.
• Schemes B & C: Result in wealth transfer from Simpson shareholders to Wilson shareholders due to excessive share issuance.
3. Test Your Knowledge (TYK) - Complete Questions & Detailed Solutions
Theoretical Question 1: Synergy in Mergers and Acquisitions
Explain synergy in the context of Mergers and Acquisitions.
Synergy in Mergers and Acquisitions
In corporate finance, Synergy refers to the phenomenon where the combined enterprise value of two merging entities exceeds the sum of their individual standalone values ($V_{AB} > V_A + V_B$, commonly referred to as the "$2 + 2 = 5$" effect).
| Synergy Dimension | Primary Drivers & Mechanisms | Tangible Financial Benefits |
|---|---|---|
| Operating Synergy |
• Economies of Scale: Spreading fixed costs over higher output volumes. • Economies of Scope: Cross-selling complementary products via shared distribution. • Supply Chain Optimization: Elimination of intermediate markups and logistics duplication. |
Higher operating profit margins (EBITDA), reduced per-unit production costs, and greater market pricing power. |
| Financial Synergy |
• Co-insurance Effect: Diversified cash flow streams reduce overall default risk. • Tax Shields: Utilizing unabsorbed accumulated depreciation and business losses of the target under Section 72A. • Lower Cost of Capital: Enhanced borrowing capacity and cheaper access to international capital markets. |
Lower Weighted Average Cost of Capital (WACC), increased debt debt-capacity, and lower corporate tax liabilities. |
| Managerial Synergy | Replacement of sub-optimal target management with superior executive leadership, introducing modernized operational frameworks and corporate governance. | Improved asset turnover, elimination of administrative waste, and superior capital budgeting execution. |
Theoretical Question 2: Reverse Merger / Takeover by Reverse Bid
What is take over by reverse bid or Reverse Merger?
Takeover by Reverse Bid (Reverse Merger)
A Reverse Merger (or "Backdoor Listing") is a corporate restructuring transaction in which a healthy, commercially sound, and profitable unlisted private company merges into an existing public listed company (often a sick, dormant, or shell company):
- Control Mechanism: Under the scheme of amalgamation, the listed company issues a massive volume of new equity shares to the shareholders of the private company as purchase consideration. Consequently, the former private company's shareholders become the majority controlling owners of the publicly listed entity.
- Strategic Advantages:
- Bypassing IPO Hurdles: Bypasses the burdensome regulatory formalities, rigorous eligibility requirements, underwriter fees, roadshows, and volatile stock market conditions associated with an Initial Public Offering (IPO).
- Tax Incentives (Section 72A): The profitable business can set off its future taxable operating profits against the accumulated unabsorbed business losses and depreciation of the loss-making sick listed entity.
- Substantial Cost & Time Savings: Achieves public listing in a fraction of the time and expense required for a conventional IPO.
- ICAI Definition Note: A reverse bid also occurs when a smaller acquiring company purchases a much larger target company, and as consideration issues so many new shares that the target company's original shareholders gain voting control over the combined entity.
Theoretical Question 3: Equity Carve-Out vs Spin-Off
What is an equity carve-out? How does it differ from a spin-off?
Comparison: Equity Carve-Out vs Spin-Off
| Parameter | Equity Carve-Out | Spin-Off |
|---|---|---|
| Transaction Nature | The parent company creates a separate legal entity for a business division and sells a minority stake (e.g., 20%) to the public through an Initial Public Offering (IPO). | The parent company hives off a division into a completely independent company and distributes 100% of the new shares to its existing shareholders on a pro-rata basis. |
| Cash Inflow to Parent | Yes. The parent receives immediate cash proceeds from the public issue of shares. | No. No cash is generated; shares are distributed as a dividend-in-kind to existing shareholders. |
| Parent Ownership & Control | Parent retains majority ownership (typically 80%) and continued operational control. | Parent ownership ceases completely; the spun-off entity becomes fully autonomous. |
| Investor Base | Brings in entirely new external public shareholders alongside the parent. | Initial shareholder base is identical to that of the parent company. |
Theoretical Question 4: Horizontal Merger vs Vertical Merger
Write a short note on Horizontal Merger and Vertical Merger.
Horizontal vs Vertical Mergers
| Dimension | Horizontal Merger | Vertical Merger |
|---|---|---|
| Industry Relationship | Combination of two or more firms operating in the same industry at the same stage of the production/marketing cycle (direct competitors). | Combination of two or more firms operating at different stages of the same production and distribution value chain. |
| Sub-Types | Product extension or geographic market extension. |
• Backward Integration: Towards raw material suppliers (upstream). • Forward Integration: Towards retail distributors / customers (downstream). |
| Primary Strategic Motive | Achieving massive economies of scale, eliminating duplicate corporate overheads, and expanding market share. | Securing assured supply of critical raw materials, reducing procurement uncertainty, and capturing distribution margins. |
| Regulatory Scrutiny | Attracts stringent anti-trust investigation (e.g., by the Competition Commission of India - CCI) due to risk of monopolistic collusion. | Generally faces less regulatory friction unless it creates severe market foreclosure for competitors. |
Practical Question 1: C Ltd. & A Ltd. - Post-Merger Valuation
Total market value of C Ltd. is ₹ 15,00,000 (1,00,000 shares @ ₹ 15). P/E ratio is 10 times. A Ltd. has 2,00,000 shares @ ₹ 25 per share with P/E ratio of 12 times. A Ltd. acquires C Ltd. by exchanging shares based on market price. Combined earnings post-merger will increase by ₹ 50,000 due to synergy.
Calculate: (i) Post-merger EPS of A Ltd., (ii) Post-merger market price if P/E remains 12, and (iii) Gain to both sets of shareholders.
Step 1: Pre-Merger Fundamentals
| Particulars | A Ltd. (Acquirer) | C Ltd. (Target) |
|---|---|---|
| Number of Shares | 2,00,000 | 1,00,000 |
| Market Price per Share (MPS) | ₹ 25.00 | ₹ 15.00 |
| Market Capitalization | ₹ 50,00,000 | ₹ 15,00,000 |
| P/E Ratio | 12 times | 10 times |
| Earnings Per Share (EPS) | $25 / 12 = ₹ 2.0833$ | $15 / 10 = ₹ 1.50$ |
| Total Earnings (PAT) | ₹ 4,16,667 | ₹ 1,50,000 |
Step 2: Share Exchange & Post-Merger EPS
$$\text{Swap Ratio} = \frac{\text{MPS}_C}{\text{MPS}_A} = \frac{₹ 15}{₹ 25} = \mathbf{0.60 \text{ shares of A for 1 share of C}}$$
New shares issued to C Ltd. = $1,00,000 \times 0.60 = \mathbf{60,000 \text{ shares}}$.
Total Post-Merger Shares = $2,00,000 + 60,000 = \mathbf{2,60,000 \text{ shares}}$.
Combined Earnings = $\text{PAT}_A (4,16,667) + \text{PAT}_C (1,50,000) + \text{Synergy } (50,000) = \mathbf{₹ 6,16,667}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 6,16,667}{2,60,000} = \mathbf{₹ 2.3718 \text{ per share}}$$
Step 3: Post-Merger Market Price & Shareholder Gains
$$\mathbf{\text{Post-Merger MPS}} = \text{Post-Merger EPS } (2.3718) \times \text{P/E } (12) = \mathbf{₹ 28.46 \text{ per share}}$$
• A Ltd. Shareholders: Gain per share = $₹ 28.46 - ₹ 25.00 = \mathbf{+₹ 3.46 \text{ per share}}$.
• C Ltd. Shareholders: Equivalent price = $₹ 28.46 \times 0.60 = ₹ 17.08$. Gain per share = $₹ 17.08 - ₹ 15.00 = \mathbf{+₹ 2.08 \text{ per share}}$.
• Post-Merger EPS = ₹ 2.37 per share.
• Post-Merger MPS = ₹ 28.46 per share.
• Gain to A Ltd. = +₹ 3.46/share; Gain to C Ltd. = +₹ 2.08/share.
Practical Question 2: Elrond Limited & Doom Limited
Elrond Limited plans to acquire Doom Limited. The relevant financial details of the two firms prior to the merger announcement are:
| Particulars | Elrond Limited | Doom Limited |
|---|---|---|
| Market Price per Share | ₹ 50 | ₹ 25 |
| Number of Shares | 20,00,000 | 10,00,000 |
The merger is expected to generate synergy gains with a present value of ₹ 70,00,000. Elrond offers 5,00,000 shares to Doom Limited shareholders.
Calculate: (i) Post-merger value of the combined firm, (ii) Value of shares received by Doom Ltd., and (iii) Gain to Elrond Ltd. shareholders.
1. Post-Merger Total Value of Combined Firm
$$\text{Total Value } (V_{AB}) = \text{Value}_A + \text{Value}_B + \text{Synergy Gain}$$
$$V_A = 20,00,000 \times ₹ 50 = ₹ 10,00,00,000$$
$$V_B = 10,00,00,000 \times ₹ 25 = ₹ 2,50,00,000$$
$$\mathbf{V_{AB} = ₹ 10,00,00,000 + ₹ 2,50,00,000 + ₹ 70,00,000 = \mathbf{₹ 13,20,00,000}}
2. Post-Merger Share Price
Total Post-Merger Shares = $20,00,000 + 5,00,000 = \mathbf{25,00,000 \text{ shares}}$.
$$\mathbf{\text{Post-Merger Price per Share}} = \frac{₹ 13,20,00,000}{25,00,000} = \mathbf{₹ 52.80 \text{ per share}}$$
3. Value Received and Gains
• Value of shares received by Doom Ltd. = $5,00,000 \times ₹ 52.80 = \mathbf{₹ 2,64,00,000}$.
• Gain to Doom Ltd. Shareholders = $₹ 2,64,00,000 - ₹ 2,50,00,000 = \mathbf{₹ 14,00,000}$.
• Gain to Elrond Ltd. Shareholders = $(20,00,000 \times ₹ 52.80) - ₹ 10,00,00,000 = ₹ 10,56,00,000 - ₹ 10,00,00,000 = \mathbf{₹ 56,00,000}$.
• Combined Firm Value = ₹ 13.20 Crores.
• Price per Share = ₹ 52.80.
• Gain to Elrond = ₹ 56 Lakhs; Gain to Doom = ₹ 14 Lakhs. Total synergy realized = ₹ 70 Lakhs.
Practical Question 3: MK Ltd. & NN Ltd. - Exchange Ratio & Synergy Impact
MK Ltd. is considering acquiring NN Ltd. The following information is available:
| Particulars | MK Ltd. | NN Ltd. |
|---|---|---|
| Earnings After Tax (PAT) | ₹ 60 Lakhs | ₹ 18 Lakhs |
| Number of Equity Shares | 10 Lakhs | 6 Lakhs |
| Market Price per Share | ₹ 160 | ₹ 100 |
Determine: (i) Exchange ratio based on market price and post-merger EPS, (ii) Post-merger EPS if exchange ratio is based on relative EPS, and (iii) Gain/Loss in market value per share if combined P/E is 20.
Part (i): Exchange Ratio Based on Market Price
$$\text{Swap Ratio} = \frac{\text{MPS}_{NN}}{\text{MPS}_{MK}} = \frac{₹ 100}{₹ 160} = \mathbf{0.625 \text{ shares of MK for 1 share of NN}}$$
New shares issued to NN = $6,00,000 \times 0.625 = \mathbf{3,75,000 \text{ shares}}$.
Total combined shares = $10,00,000 + 3,75,000 = \mathbf{13,75,000 \text{ shares}}$.
Combined Earnings = $₹ 60\text{L} + ₹ 18\text{L} = \mathbf{₹ 78,00,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 78,00,000}{13,75,000} = \mathbf{₹ 5.6727 \approx ₹ 5.67 \text{ per share}}$$
Part (ii): Exchange Ratio Based on Relative EPS
$\text{EPS}_{MK} = 60 / 10 = ₹ 6.00$; $\text{EPS}_{NN} = 18 / 6 = ₹ 3.00$.
$$\text{Swap Ratio} = \frac{₹ 3.00}{₹ 6.00} = \mathbf{0.50 \text{ shares of MK for 1 share of NN}}$$
New shares issued = $6,00,000 \times 0.50 = 3,00,000 \text{ shares}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 78,00,000}{13,00,000} = \mathbf{₹ 6.00 \text{ per share (Zero Dilution)}}$$
Part (iii): Market Value Impact (P/E = 20) under Market Price Ratio
$$\text{Post-Merger MPS} = ₹ 5.6727 \times 20 = \mathbf{₹ 113.45 \text{ per share}}$$
• MK Ltd. Shareholders: Change = $₹ 113.45 - ₹ 160.00 = \mathbf{-₹ 46.55 \text{ (Loss)}}$.
• NN Ltd. Shareholders: Equivalent = $₹ 113.45 \times 0.625 = ₹ 70.91$. Change = $₹ 70.91 - ₹ 100.00 = \mathbf{-₹ 29.09 \text{ (Loss)}}$.
(i) Post-merger EPS (MPS ratio 0.625) = ₹ 5.67.
(ii) Post-merger EPS (EPS ratio 0.50) = ₹ 6.00.
(iii) Both sets of shareholders suffer market value loss if post-merger P/E falls to 20.
Practical Question 4: ABC Ltd. & XYZ Ltd. - Merger Exchange Ratios
ABC Ltd. is intending to acquire XYZ Ltd. by merger and the following information is available:
| Particulars | ABC Ltd. | XYZ Ltd. |
|---|---|---|
| Number of Equity Shares | 10,00,000 | 6,00,000 |
| Earnings After Tax | ₹ 50,00,000 | ₹ 18,00,000 |
| Market Price per Share | ₹ 42 | ₹ 28 |
Required: (i) Pre-merger EPS of both firms, (ii) Exchange ratio based on EPS and resulting post-merger EPS, and (iii) Exchange ratio based on MPS and resulting post-merger EPS.
Part (i): Pre-Merger EPS
• $\text{EPS}_{\text{ABC}} = \frac{₹ 50,00,000}{10,00,000} = \mathbf{₹ 5.00 \text{ per share}}$.
• $\text{EPS}_{\text{XYZ}} = \frac{₹ 18,00,000}{6,00,000} = \mathbf{₹ 3.00 \text{ per share}}$.
Part (ii): Exchange Ratio on EPS Basis
$$\text{Swap Ratio} = \frac{\text{EPS}_{\text{XYZ}}}{\text{EPS}_{\text{ABC}}} = \frac{₹ 3.00}{₹ 5.00} = \mathbf{0.60}$$
New shares to XYZ = $6,00,000 \times 0.60 = 3,60,000 \text{ shares}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 50\text{L} + ₹ 18\text{L}}{10\text{L} + 3.6\text{L}} = \frac{₹ 68,00,000}{13,60,000} = \mathbf{₹ 5.00 \text{ per share (Neutral)}}$$
Part (iii): Exchange Ratio on Market Price Basis
$$\text{Swap Ratio} = \frac{\text{MPS}_{\text{XYZ}}}{\text{MPS}_{\text{ABC}}} = \frac{₹ 28}{₹ 42} = \mathbf{0.6667 \quad (\text{or } 2:3)}$$
New shares to XYZ = $6,00,000 \times \frac{2}{3} = 4,00,000 \text{ shares}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 68,00,000}{10\text{L} + 4\text{L}} = \frac{₹ 68,00,000}{14,00,000} = \mathbf{₹ 4.857 \approx ₹ 4.86 \text{ per share}}$$
• Pre-merger EPS: ABC = ₹ 5.00, XYZ = ₹ 3.00.
• Post-merger EPS (EPS ratio 0.60) = ₹ 5.00.
• Post-merger EPS (MPS ratio 0.667) = ₹ 4.86 (Dilution of ₹ 0.14 for ABC).
Practical Question 5: CEO EPS Maximization Strategy
The CEO of a company thinks that shareholders always look for EPS. Therefore, he considers that an acquisition that increases EPS is always good. Evaluate this statement with numerical illustration.
Critique of the "EPS Bootstrapping" Fallacy
The CEO's belief is a classic corporate finance fallacy known as EPS Bootstrapping (or the P/E Game):
- Whenever a high P/E company acquires a low P/E company through an exchange of shares based on market price, the acquirer's post-merger EPS automatically increases even if there are zero real operational synergies!
- However, market efficiency ensures that the combined firm's post-merger P/E multiple will drop to a weighted average of the two firms, leaving the overall market value unchanged (or lower if value is destroyed).
- Shareholder wealth is determined by Market Value (Share Price), not optical accounting EPS. If high-risk earnings are bought at a cheap multiple, the cost of equity increases, depressing share prices.
Practical Question 6: A Ltd. & T Ltd. - Swap Ratio 1:2 Impact
A Ltd. wants to acquire T Ltd. and has offered a swap ratio of 1:2 (0.5 shares of A Ltd. for every 1 share of T Ltd.). Relevant data:
| Particulars | A Ltd. | T Ltd. |
|---|---|---|
| Profit After Tax | ₹ 18,00,000 | ₹ 3,60,000 |
| Equity Shares | 6,00,000 | 1,80,000 |
| P/E Ratio | 10 times | 7 times |
Calculate: (i) Number of shares to be issued, (ii) Post-merger EPS, (iii) Post-merger Market Price if combined P/E is 9, and (iv) Gain/loss to each firm's shareholders.
Step 1: Shares Issued & Combined EPS
New shares issued to T Ltd. = $1,80,000 \times 0.5 = \mathbf{90,000 \text{ shares}}$.
Total Post-Merger Shares = $6,00,000 + 90,000 = \mathbf{6,90,000 \text{ shares}}$.
Combined Earnings = $₹ 18,00,000 + ₹ 3,60,000 = \mathbf{₹ 21,60,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 21,60,000}{6,90,000} = \mathbf{₹ 3.13 \text{ per share}}$$
(Pre-merger EPS of A Ltd. was $18 / 6 = ₹ 3.00$).
Step 2: Post-Merger Market Price (P/E = 9)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 3.1304 \times 9 = \mathbf{₹ 28.17 \text{ per share}}$$
• Pre-merger MPS of A Ltd. = $₹ 3.00 \times 10 = ₹ 30.00$.
Loss per share to A Ltd. = $₹ 28.17 - ₹ 30.00 = \mathbf{-₹ 1.83 \text{ per share}}$.
• Pre-merger MPS of T Ltd. = $\text{EPS } (₹ 2.00) \times 7 = ₹ 14.00$.
Equivalent post-merger price = $₹ 28.17 \times 0.5 = ₹ 14.09$.
Gain per share to T Ltd. = $₹ 14.09 - ₹ 14.00 = \mathbf{+₹ 0.09 \text{ per share}}$.
• New shares issued = 90,000.
• Post-merger EPS = ₹ 3.13.
• Post-merger MPS = ₹ 28.17.
• A Ltd. suffers a loss of -₹ 1.83/share while T Ltd. gains +₹ 0.09/share.
Practical Question 7: Mark Limited & Mask Limited
The following information is provided related to the acquiring Firm Mark Limited and the target Firm Mask Limited:
| Particulars | Mark Ltd. | Mask Ltd. |
|---|---|---|
| Profit After Tax | ₹ 200 Lakhs | ₹ 40 Lakhs |
| Number of Shares | 20 Lakhs | 10 Lakhs |
| P/E Ratio | 10 times | 5 times |
Required: (i) Swap ratio based on current market prices, (ii) Post-merger EPS, (iii) Post-merger market price if P/E remains 10, and (iv) Market value gain to both sets of shareholders.
Step 1: Market Prices & Swap Ratio
$\text{EPS}_{\text{Mark}} = 200 / 20 = ₹ 10.00 \implies \text{MPS} = 10 \times 10 = \mathbf{₹ 100.00}$.
$\text{EPS}_{\text{Mask}} = 40 / 10 = ₹ 4.00 \implies \text{MPS} = 4 \times 5 = \mathbf{₹ 20.00}$.
$$\text{Swap Ratio} = \frac{₹ 20.00}{₹ 100.00} = \mathbf{0.20 \text{ shares of Mark for 1 share of Mask}}$$
Step 2: Post-Merger Shares & EPS
New shares issued = $10 \text{ Lakhs} \times 0.20 = \mathbf{2 \text{ Lakhs shares}}$.
Total Post-Merger Shares = $20 + 2 = \mathbf{22 \text{ Lakhs shares}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 200\text{L} + ₹ 40\text{L}}{22\text{L}} = \frac{₹ 240 \text{ Lakhs}}{22 \text{ Lakhs}} = \mathbf{₹ 10.91 \text{ per share}}$$
Step 3: Post-Merger Market Price (P/E = 10) & Gains
$$\mathbf{\text{Post-Merger MPS}} = ₹ 10.909 \times 10 = \mathbf{₹ 109.09 \text{ per share}}$$
• Mark Ltd. Shareholders: Gain per share = $₹ 109.09 - ₹ 100.00 = \mathbf{+₹ 9.09 \text{ per share}}$.
• Mask Ltd. Shareholders: Equivalent price = $₹ 109.09 \times 0.20 = ₹ 21.82$. Gain per share = $₹ 21.82 - ₹ 20.00 = \mathbf{+₹ 1.82 \text{ per share}}$.
• Swap Ratio = 0.20.
• Post-Merger EPS = ₹ 10.91.
• Post-Merger MPS = ₹ 109.09.
• Both sets of shareholders gain due to the higher P/E multiple of Mark Ltd.
Practical Question 8: XYZ Ltd. Purchasing ABC Ltd. (Swap 0.70)
XYZ Ltd. wants to purchase ABC Ltd. by exchanging 0.7 of its shares for each share of ABC Ltd. Pre-merger data:
| Particulars | XYZ Ltd. | ABC Ltd. |
|---|---|---|
| Earnings After Tax | ₹ 10,00,000 | ₹ 2,00,000 |
| Number of Shares | 2,00,000 | 50,000 |
| P/E Ratio | 12 times | 8 times |
Calculate: (i) Post-merger EPS of XYZ Ltd., (ii) Number of shares required to maintain XYZ Ltd.'s pre-merger EPS, and (iii) Market price impact if combined P/E is 11.
Part (i): Post-Merger EPS (Swap Ratio = 0.70)
New shares issued = $50,000 \times 0.70 = \mathbf{35,000 \text{ shares}}$.
Total Post-Merger Shares = $2,00,000 + 35,000 = \mathbf{2,35,000 \text{ shares}}$.
Combined Earnings = $₹ 10,00,000 + ₹ 2,00,000 = \mathbf{₹ 12,00,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 12,00,000}{2,35,000} = \mathbf{₹ 5.106 \approx ₹ 5.11 \text{ per share}}$$
(Pre-merger EPS of XYZ was $10 / 2 = ₹ 5.00$).
Part (ii): Shares Required to Keep Pre-Merger EPS at ₹ 5.00
$$\text{Total Post-Merger Shares} = \frac{₹ 12,00,000}{₹ 5.00} = 2,40,000 \text{ shares}$$
$$\text{New Shares to ABC Ltd.} = 2,40,000 - 2,00,000 = \mathbf{40,00,0 \text{ shares}}$$
$$\mathbf{\text{Exchange Ratio}} = \frac{40,000}{50,000} = \mathbf{0.80 \text{ shares of XYZ for 1 share of ABC}}$$
Part (iii): Market Price Impact (P/E = 11)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 5.1064 \times 11 = \mathbf{₹ 56.17 \text{ per share}}$$
Pre-merger MPS of XYZ was $₹ 5.00 \times 12 = ₹ 60.00$.
$$\mathbf{\text{Loss to XYZ Shareholders}} = ₹ 56.17 - ₹ 60.00 = \mathbf{-₹ 3.83 \text{ per share}}$$
• (i) Post-merger EPS = ₹ 5.11.
• (ii) Exchange ratio for neutral EPS = 0.80 (40,000 shares).
• (iii) Loss to XYZ shareholders = -₹ 3.83 per share.
Practical Question 9: XYZ Ltd. & ABC Ltd. - EPS & P/E Accretion
XYZ Ltd. is considering merger with ABC Ltd. Pre-merger data:
| Particulars | XYZ Ltd. | ABC Ltd. |
|---|---|---|
| Earnings After Tax | ₹ 150 Lakhs | ₹ 30 Lakhs |
| Number of Shares | 25 Lakhs | 10 Lakhs |
| Market Price per Share | ₹ 60 | ₹ 15 |
Required: (i) Pre-merger EPS and P/E ratios, (ii) Swap ratio based on current market prices and post-merger EPS, and (iii) Post-merger market price if combined P/E is 10.
Part (i): Pre-Merger Fundamentals
• XYZ Ltd.: $\text{EPS} = \frac{₹ 150\text{L}}{25\text{L}} = \mathbf{₹ 6.00}$. $\text{P/E Ratio} = \frac{₹ 60}{₹ 6} = \mathbf{10 \text{ times}}$.
• ABC Ltd.: $\text{EPS} = \frac{₹ 30\text{L}}{10\text{L}} = \mathbf{₹ 3.00}$. $\text{P/E Ratio} = \frac{₹ 15}{₹ 3} = \mathbf{5 \text{ times}}$.
Part (ii): Swap Ratio on Market Price Basis & Post-Merger EPS
$$\text{Swap Ratio} = \frac{₹ 15}{₹ 60} = \mathbf{0.25 \text{ shares of XYZ for 1 share of ABC}}$$
New shares issued to ABC = $10 \text{ Lakhs} \times 0.25 = \mathbf{2.5 \text{ Lakhs shares}}$.
Total Post-Merger Shares = $25 + 2.5 = \mathbf{27.5 \text{ Lakhs shares}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 150\text{L} + ₹ 30\text{L}}{27.5\text{L}} = \frac{₹ 180 \text{ Lakhs}}{27.5 \text{ Lakhs}} = \mathbf{₹ 6.545 \approx ₹ 6.55 \text{ per share}}$$
Part (iii): Post-Merger Market Price (P/E = 10)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 6.5455 \times 10 = \mathbf{₹ 65.45 \text{ per share}}$$
• XYZ Shareholders: Gain = $₹ 65.45 - ₹ 60.00 = \mathbf{+₹ 5.45 \text{ per share}}$.
• ABC Shareholders: Equivalent = $₹ 65.45 \times 0.25 = ₹ 16.36$. Gain = $₹ 16.36 - ₹ 15.00 = \mathbf{+₹ 1.36 \text{ per share}}$.
• Swap Ratio = 0.25.
• Post-Merger EPS = ₹ 6.55.
• Post-Merger MPS = ₹ 65.45.
Practical Question 10: Mani Ltd. & Rama Ltd.
Following information is provided relating to the acquiring company Mani Ltd. and the target company Rama Ltd.:
| Particulars | Mani Ltd. | Rama Ltd. |
|---|---|---|
| Profit After Tax | ₹ 100 Lakhs | ₹ 20 Lakhs |
| Number of Shares | 10 Lakhs | 5 Lakhs |
| P/E Ratio | 12 times | 8 times |
Calculate: (i) Swap ratio based on current market prices, (ii) Post-merger EPS of Mani Ltd., and (iii) Post-merger Market Value if combined P/E is 11.
Part (i): Market Prices & Swap Ratio
• Mani Ltd.: $\text{EPS} = \frac{100}{10} = ₹ 10.00 \implies \text{MPS} = 10 \times 12 = \mathbf{₹ 120.00}$.
• Rama Ltd.: $\text{EPS} = \frac{20}{5} = ₹ 4.00 \implies \text{MPS} = 4 \times 8 = \mathbf{₹ 32.00}$.
$$\text{Swap Ratio} = \frac{₹ 32.00}{₹ 120.00} = \mathbf{0.2667 \text{ shares of Mani for 1 share of Rama (or 4:15)}}$$
Part (ii): Post-Merger Shares & EPS
New shares issued to Rama Ltd. = $5 \text{ Lakhs} \times \frac{4}{15} = \mathbf{1.333 \text{ Lakhs shares}}$.
Total Post-Merger Shares = $10 + 1.333 = \mathbf{11.333 \text{ Lakhs shares}}$.
Combined Earnings = $₹ 100\text{L} + ₹ 20\text{L} = \mathbf{₹ 120 \text{ Lakhs}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 120 \text{ Lakhs}}{11.333 \text{ Lakhs}} = \mathbf{₹ 10.588 \approx ₹ 10.59 \text{ per share}}$$
Part (iii): Post-Merger Market Capitalization (P/E = 11)
$$\text{Post-Merger MPS} = ₹ 10.5882 \times 11 = \mathbf{₹ 116.47 \text{ per share}}$$
$$\mathbf{\text{Total Market Capitalization}} = 11.333 \text{ Lakhs} \times ₹ 116.47 = \mathbf{₹ 1,320.00 \text{ Lakhs (₹ 13.20 Crores)}}$$
• Swap Ratio = 0.2667.
• Post-Merger EPS = ₹ 10.59.
• Post-Merger MPS = ₹ 116.47; Combined Market Value = ₹ 13.20 Crores.
Practical Question 11: Two Companies - Shareholder Gain & Swap Ratio
You have been provided the following Financial data of two companies:
| Particulars | Company A | Company B |
|---|---|---|
| Number of Equity Shares | 1,00,000 | 50,000 |
| Earnings After Tax (PAT) | ₹ 5,00,000 | ₹ 3,00,000 |
| Market Price per Share | ₹ 150 | ₹ 100 |
Company A is intending to acquire Company B. Determine: (i) Swap ratio based on Market Price, (ii) Combined EPS, and (iii) Gain per share to both sets of shareholders if post-merger P/E is 18.
Step 1: Swap Ratio Based on Market Prices
$$\text{Swap Ratio} = \frac{\text{MPS}_B}{\text{MPS}_A} = \frac{₹ 100}{₹ 150} = \mathbf{0.6667 \text{ shares of A for 1 share of B (or 2:3)}}$$
New shares issued to Company B = $50,000 \times \frac{2}{3} = \mathbf{33,333 \text{ shares}}$.
Total Post-Merger Shares = $1,00,000 + 33,333 = \mathbf{1,33,333 \text{ shares}}$.
Step 2: Post-Merger EPS
Combined Earnings = $₹ 5,00,000 + ₹ 3,00,000 = \mathbf{₹ 8,00,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 8,00,000}{1,33,333} = \mathbf{₹ 6.00 \text{ per share}}$$
(Pre-merger EPS of A was $500,000 / 100,000 = ₹ 5.00$).
Step 3: Post-Merger Market Price (P/E = 18) & Gains
$$\mathbf{\text{Post-Merger MPS}} = ₹ 6.00 \times 18 = \mathbf{₹ 108.00 \text{ per share}}$$
• Company A Shareholders: Change = $₹ 108.00 - ₹ 150.00 = \mathbf{-₹ 42.00 \text{ per share (Loss)}}$.
• Company B Shareholders: Equivalent price = $₹ 108.00 \times \frac{2}{3} = ₹ 72.00$. Change = $₹ 72.00 - ₹ 100.00 = \mathbf{-₹ 28.00 \text{ per share (Loss)}}$.
(If post-merger P/E rises to maintain pre-merger value, gain per share is as per ICAI working table).
• Swap Ratio = 0.6667.
• Post-Merger EPS = ₹ 6.00 per share.
Practical Question 12: M Co. Ltd. & N Co. Ltd. - Merger Feasibility
M Co. Ltd. is studying the possible acquisition of N Co. Ltd. by way of merger. Pre-merger details:
| Particulars | M Co. Ltd. | N Co. Ltd. |
|---|---|---|
| Earnings After Tax | ₹ 80 Lakhs | ₹ 24 Lakhs |
| Number of Shares | 16 Lakhs | 6 Lakhs |
| Market Price per Share | ₹ 64 | ₹ 40 |
Required: (i) Calculation of new EPS of M Co. Ltd. under swap ratio based on market price, (ii) Exchange ratio for neutral EPS, and (iii) Price per share if post-merger P/E is 12.
Part (i): New EPS of M Co. Ltd. (Market Price Swap Ratio)
$$\text{Swap Ratio} = \frac{\text{MPS}_N}{\text{MPS}_M} = \frac{₹ 40}{₹ 64} = \mathbf{0.625 \text{ shares of M for 1 share of N}}$$
New shares issued to N Co. = $6 \text{ Lakhs} \times 0.625 = \mathbf{3.75 \text{ Lakhs shares}}$.
Total Post-Merger Shares = $16 + 3.75 = \mathbf{19.75 \text{ Lakhs shares}}$.
Combined Earnings = $₹ 80\text{L} + ₹ 24\text{L} = \mathbf{₹ 104 \text{ Lakhs}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 104 \text{ Lakhs}}{19.75 \text{ Lakhs}} = \mathbf{₹ 5.2658 \approx ₹ 5.27 \text{ per share}}$$
(Pre-merger EPS of M was $80 / 16 = ₹ 5.00$).
Part (ii): Exchange Ratio for Neutral EPS (₹ 5.00)
$$\text{Total Post-Merger Shares} = \frac{₹ 104 \text{ Lakhs}}{₹ 5.00} = 20.80 \text{ Lakhs shares}$$
$$\text{New Shares to N Co.} = 20.80 - 16.00 = 4.80 \text{ Lakhs shares}$$
$$\mathbf{\text{Required Swap Ratio}} = \frac{4.80}{6.00} = \mathbf{0.80 \text{ shares of M for 1 share of N}}$$
Part (iii): Post-Merger Share Price (P/E = 12)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 5.2658 \times 12 = \mathbf{₹ 63.19 \text{ per share}}$$
• (i) Post-Merger EPS = ₹ 5.27.
• (ii) Exchange Ratio for neutral EPS = 0.80.
• (iii) Post-Merger MPS = ₹ 63.19.
Practical Question 13: Longitude Limited & Latitude Limited
Longitude Limited is in the process of acquiring Latitude Limited on a share exchange basis. Pre-merger financials:
| Particulars | Longitude Ltd. | Latitude Ltd. |
|---|---|---|
| Earnings After Tax | ₹ 40,00,000 | ₹ 10,00,000 |
| Number of Shares | 8,00,000 | 4,00,000 |
| P/E Ratio | 15 times | 12 times |
Determine: (i) Pre-merger market value per share, (ii) Swap ratio based on current market prices, (iii) Post-merger EPS, and (iv) Post-merger market price if combined P/E is 14.
Part (i): Pre-Merger Fundamentals
• Longitude: $\text{EPS} = \frac{40\text{L}}{8\text{L}} = ₹ 5.00 \implies \text{MPS} = 5 \times 15 = \mathbf{₹ 75.00}$.
• Latitude: $\text{EPS} = \frac{10\text{L}}{4\text{L}} = ₹ 2.50 \implies \text{MPS} = 2.5 \times 12 = \mathbf{₹ 30.00}$.
Part (ii): Swap Ratio Based on Market Prices
$$\text{Swap Ratio} = \frac{₹ 30.00}{₹ 75.00} = \mathbf{0.40 \text{ shares of Longitude for 1 share of Latitude}}$$
Part (iii): Post-Merger Shares & EPS
New shares issued = $4,00,000 \times 0.40 = \mathbf{1,60,000 \text{ shares}}$.
Total Post-Merger Shares = $8,00,000 + 1,60,000 = \mathbf{9,60,000 \text{ shares}}$.
Combined Earnings = $₹ 40\text{L} + ₹ 10\text{L} = \mathbf{₹ 50,00,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 50,00,000}{9,60,000} = \mathbf{₹ 5.2083 \approx ₹ 5.21 \text{ per share}}$$
Part (iv): Post-Merger Market Price (P/E = 14)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 5.2083 \times 14 = \mathbf{₹ 72.92 \text{ per share}}$$
• (i) Market Prices: Longitude = ₹ 75.00, Latitude = ₹ 30.00.
• (ii) Swap Ratio = 0.40.
• (iii) Post-Merger EPS = ₹ 5.21.
• (iv) Post-Merger MPS = ₹ 72.92.
Practical Question 14: P Ltd. Take-over of R Ltd. (4:5 Share Exchange)
P Ltd. is considering take-over of R Ltd. by the exchange of four new shares in P Ltd. for every five shares in R Ltd. Pre-merger financials:
| Particulars | P Ltd. | R Ltd. |
|---|---|---|
| Earnings After Tax | ₹ 30,00,000 | ₹ 12,00,000 |
| Number of Shares | 10,00,000 | 5,00,000 |
| Market Price per Share | ₹ 36 | ₹ 25 |
Calculate: (i) Post-merger EPS of P Ltd., (ii) Post-merger share price if P/E is 11, and (iii) Net financial gain or loss to each group of shareholders.
Step 1: Post-Merger Shares & EPS
Swap ratio = 4 shares of P for 5 shares of R = $\mathbf{0.80}$.
New shares issued to R Ltd. = $5,00,000 \times 0.80 = \mathbf{4,00,000 \text{ shares}}$.
Total Post-Merger Shares = $10,00,000 + 4,00,000 = \mathbf{14,00,000 \text{ shares}}$.
Combined Earnings = $₹ 30,00,000 + ₹ 12,00,000 = \mathbf{₹ 42,00,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 42,00,000}{14,00,000} = \mathbf{₹ 3.00 \text{ per share (Zero Dilution)}}$$
Step 2: Post-Merger Market Price (P/E = 11)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 3.00 \times 11 = \mathbf{₹ 33.00 \text{ per share}}$$
Step 3: Gain or Loss to Shareholders
• P Ltd. Shareholders: Pre-merger price = ₹ 36.00; Post-merger = ₹ 33.00. Loss of -₹ 3.00 per share (Total loss = ₹ 30 Lakhs).
• R Ltd. Shareholders: Equivalent price = $₹ 33.00 \times 0.80 = ₹ 26.40$. Pre-merger price = ₹ 25.00. Gain of +₹ 1.40 per share (Total gain = ₹ 7 Lakhs).
• Post-Merger EPS = ₹ 3.00.
• Post-Merger MPS = ₹ 33.00.
• P Ltd. shareholders lose -₹ 3.00/share; R Ltd. shareholders gain +₹ 1.40/share.
Practical Question 15: Simple Ltd. & Dimple Ltd. - Synergy Gain & Merger Value
Simple Ltd. and Dimple Ltd. are planning to merge. Pre-merger market values: Simple Ltd. = ₹ 50 Crores, Dimple Ltd. = ₹ 20 Crores. The merger is expected to generate synergy savings with a present value of ₹ 6 Crores. Simple Ltd. negotiates to acquire Dimple Ltd. for ₹ 22 Crores in cash or equivalent shares.
Calculate: (i) Value of the merged firm, (ii) Cost of merger to Simple Ltd., and (iii) Net Gain to Simple Ltd. and Dimple Ltd.
Part (i): Total Value of Merged Firm
$$\text{Value of Combined Firm } (V_{AB}) = V_A + V_B + \text{Synergy}$$
$$\mathbf{V_{AB} = ₹ 50 \text{ Cr} + ₹ 20 \text{ Cr} + ₹ 6 \text{ Cr} = \mathbf{₹ 76.00 \text{ Crores}}}$$
Part (ii): Cost of Merger to Simple Ltd.
$$\mathbf{\text{Cost of Merger}} = \text{Purchase Consideration Paid} - \text{Standalone Value of Target}$$
$$\text{Cost of Merger} = ₹ 22.00 \text{ Crores} - ₹ 20.00 \text{ Crores} = \mathbf{₹ 2.00 \text{ Crores}}$$
Part (iii): Net Gain to Both Companies
• Gain to Dimple Ltd. (Target) = $\text{Consideration Received } (22\text{ Cr}) - \text{Standalone Value } (20\text{ Cr}) = \mathbf{₹ 2.00 \text{ Crores}}$.
• Gain to Simple Ltd. (Acquirer) = $\text{Total Synergy } (6\text{ Cr}) - \text{Cost of Merger } (2\text{ Cr}) = \mathbf{₹ 4.00 \text{ Crores}}$.
• Combined Value = ₹ 76.00 Crores.
• Gain to Simple Ltd. = ₹ 4.00 Crores.
• Gain to Dimple Ltd. = ₹ 2.00 Crores. Total synergy split: ₹ 6.00 Crores.
Practical Question 16: Yes Ltd. & No Ltd. - DCF Synergy & Max Bid Price
Yes Ltd. wants to acquire No Ltd. Free Cash Flows of Yes Ltd. and the merged entity are projected for 3 years (in ₹ Lakhs):
| Year | Yes Ltd. Standalone | Merged Entity |
|---|---|---|
| 1 | ₹ 150 | ₹ 210 |
| 2 | ₹ 180 | ₹ 260 |
| 3 | ₹ 200 | ₹ 300 |
Beyond Year 3, cash flows of the merged entity will grow at 5% p.a. in perpetuity. The cost of capital is 12%. No Ltd. has 5,00,000 shares outstanding. Calculate the maximum price per share Yes Ltd. can pay for No Ltd.
Step 1: Incremental Cash Flows Attributable to No Ltd. (₹ in Lakhs)
| Year | Merged Entity CF | Yes Ltd. Standalone CF | Incremental CF from No Ltd. |
|---|---|---|---|
| 1 | 210 | 150 | 60 |
| 2 | 260 | 180 | 80 |
| 3 | 300 | 200 | 100 |
Step 2: Present Value of Explicit Incremental Cash Flows @ 12%
| Year | Incremental CF (₹ L) | PVIF @ 12% | Present Value (₹ L) |
|---|---|---|---|
| 1 | 60 | 0.8929 | 53.57 |
| 2 | 80 | 0.7972 | 63.78 |
| 3 | 100 | 0.7118 | 71.18 |
| Total PV of Explicit Cash Flows (Years 1–3) | ₹ 188.53 Lakhs | ||
Step 3: Terminal Value at Year 3 & Overall Value
$$\text{Terminal Value at Year 3 } (TV_3) = \frac{\text{Incremental CF}_4}{\text{WACC} - g} = \frac{100 \times 1.05}{0.12 - 0.05} = \frac{105}{0.07} = \mathbf{₹ 1,500.00 \text{ Lakhs}}$$
$$\text{PV of Terminal Value at Year 0} = ₹ 1,500.00 \times 0.7118 = \mathbf{₹ 1,067.70 \text{ Lakhs}}$$
$$\mathbf{\text{Maximum Value of No Ltd.}} = 188.53 + 1,067.70 = \mathbf{₹ 1,256.23 \text{ Lakhs}}$$
$$\mathbf{\text{Maximum Bid Price per Share}} = \frac{₹ 1,256.23 \text{ Lakhs}}{5,00,000 \text{ shares}} = \mathbf{₹ 251.25 \text{ per share}}$$
Practical Question 17: Efficient Ltd. & Target Ltd. - Swap Ratio
The following information is provided relating to the acquiring company Efficient Ltd. and the target company Target Ltd.:
| Particulars | Efficient Ltd. | Target Ltd. |
|---|---|---|
| Earnings After Tax | ₹ 100 Lakhs | ₹ 25 Lakhs |
| Number of Shares | 20 Lakhs | 10 Lakhs |
| Market Price per Share | ₹ 50 | ₹ 20 |
Calculate: (i) Swap ratio based on current market prices, (ii) Post-merger EPS, and (iii) Post-merger market price if combined P/E is 10.
Part (i): Swap Ratio Based on Market Prices
$$\text{Swap Ratio} = \frac{₹ 20}{₹ 50} = \mathbf{0.40 \text{ shares of Efficient for 1 share of Target}}$$
Part (ii): Post-Merger Shares & EPS
New shares issued = $10 \text{ Lakhs} \times 0.40 = \mathbf{4 \text{ Lakhs shares}}$.
Total Post-Merger Shares = $20 + 4 = \mathbf{24 \text{ Lakhs shares}}$.
Combined Earnings = $₹ 100\text{L} + ₹ 25\text{L} = \mathbf{₹ 125 \text{ Lakhs}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 125 \text{ Lakhs}}{24 \text{ Lakhs}} = \mathbf{₹ 5.208 \approx ₹ 5.21 \text{ per share}}$$
(Pre-merger EPS of Efficient was $100 / 20 = ₹ 5.00$).
Part (iii): Post-Merger Market Price (P/E = 10)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 5.2083 \times 10 = \mathbf{₹ 52.08 \text{ per share}}$$
• Swap Ratio = 0.40.
• Post-Merger EPS = ₹ 5.21.
• Post-Merger MPS = ₹ 52.08.
Practical Question 18: Abhiman Ltd. & Swabhiman Ltd. - Subsidiary Acquisition
Abhiman Ltd. is a subsidiary of Janam Ltd. and is acquiring Swabhiman Ltd. Relevant financial data:
| Particulars | Abhiman Ltd. | Swabhiman Ltd. |
|---|---|---|
| Profit After Tax | ₹ 60 Lakhs | ₹ 15 Lakhs |
| Equity Shares | 12 Lakhs | 5 Lakhs |
| Book Value per Share | ₹ 40 | ₹ 25 |
| Market Price per Share | ₹ 50 | ₹ 30 |
Calculate: (i) Swap ratio based on Market Price, (ii) Swap ratio based on Book Value, and (iii) Post-merger EPS under both methods.
Part (i): Swap Ratio Based on Market Prices
$$\text{Swap Ratio (MPS)} = \frac{₹ 30}{₹ 50} = \mathbf{0.60}$$
New shares issued = $5 \text{ Lakhs} \times 0.60 = 3 \text{ Lakhs shares}$.
$$\mathbf{\text{Post-Merger EPS (MPS)}} = \frac{₹ 60\text{L} + ₹ 15\text{L}}{12\text{L} + 3\text{L}} = \frac{₹ 75 \text{ Lakhs}}{15 \text{ Lakhs}} = \mathbf{₹ 5.00 \text{ per share (Zero Dilution)}}$$
Part (ii): Swap Ratio Based on Book Value
$$\text{Swap Ratio (BV)} = \frac{₹ 25}{₹ 40} = \mathbf{0.625}$$
New shares issued = $5 \text{ Lakhs} \times 0.625 = 3.125 \text{ Lakhs shares}$.
$$\mathbf{\text{Post-Merger EPS (BV)}} = \frac{₹ 75 \text{ Lakhs}}{12\text{L} + 3.125\text{L}} = \frac{₹ 75 \text{ Lakhs}}{15.125 \text{ Lakhs}} = \mathbf{₹ 4.9587 \approx ₹ 4.96 \text{ per share}}$$
• Swap Ratio (MPS) = 0.60; Post-merger EPS = ₹ 5.00.
• Swap Ratio (BV) = 0.625; Post-merger EPS = ₹ 4.96.
Practical Question 19: E Ltd. Acquiring Target - Comprehensive Ratios
The following information is provided relating to the acquiring company E Ltd. and the target company T Ltd.:
| Particulars | E Ltd. | T Ltd. |
|---|---|---|
| Earnings After Tax | ₹ 120 Lakhs | ₹ 30 Lakhs |
| Number of Shares | 20 Lakhs | 8 Lakhs |
| P/E Ratio | 10 times | 8 times |
Required: (i) Pre-merger EPS and MPS of both companies, (ii) Swap ratio based on market price and post-merger EPS, and (iii) Post-merger market price if combined P/E is 9.5.
Part (i): Pre-Merger Fundamentals
• E Ltd.: $\text{EPS} = \frac{120}{20} = ₹ 6.00 \implies \text{MPS} = 6 \times 10 = \mathbf{₹ 60.00}$.
• T Ltd.: $\text{EPS} = \frac{30}{8} = ₹ 3.75 \implies \text{MPS} = 3.75 \times 8 = \mathbf{₹ 30.00}$.
Part (ii): Swap Ratio & Post-Merger EPS
$$\text{Swap Ratio} = \frac{₹ 30.00}{₹ 60.00} = \mathbf{0.50 \text{ shares of E for 1 share of T}}$$
New shares issued = $8 \text{ Lakhs} \times 0.50 = \mathbf{4 \text{ Lakhs shares}}$.
Total Post-Merger Shares = $20 + 4 = \mathbf{24 \text{ Lakhs shares}}$.
Combined Earnings = $₹ 120\text{L} + ₹ 30\text{L} = \mathbf{₹ 150 \text{ Lakhs}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 150 \text{ Lakhs}}{24 \text{ Lakhs}} = \mathbf{₹ 6.25 \text{ per share}}$$
Part (iii): Post-Merger Market Price (P/E = 9.5)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 6.25 \times 9.5 = \mathbf{₹ 59.375 \approx ₹ 59.38 \text{ per share}}$$
• Pre-merger MPS: E = ₹ 60.00, T = ₹ 30.00.
• Swap Ratio = 0.50.
• Post-Merger EPS = ₹ 6.25.
• Post-Merger MPS = ₹ 59.38.
Practical Question 20: Abhiman Ltd. & Janam Ltd. - Full Merger Evaluation
The following information relating to the acquiring Company Abhiman Ltd. and the Target Company Janam Ltd. is available:
| Particulars | Abhiman Ltd. | Janam Ltd. |
|---|---|---|
| Number of Shares | 25,00,000 | 10,00,000 |
| Earnings After Tax | ₹ 1,25,00,000 | ₹ 40,00,000 |
| Market Price per Share | ₹ 60 | ₹ 36 |
Calculate: (a) Swap ratio based on Market Price, (b) Post-merger EPS, (c) Post-merger MPS if combined P/E is 11, and (d) Gain or loss to each company's shareholders.
Part (a): Swap Ratio
$$\text{Swap Ratio} = \frac{₹ 36}{₹ 60} = \mathbf{0.60 \text{ shares of Abhiman for 1 share of Janam}}$$
Part (b): Post-Merger Shares & EPS
New shares issued = $10,00,000 \times 0.60 = \mathbf{6,00,000 \text{ shares}}$.
Total Post-Merger Shares = $25,00,000 + 6,00,000 = \mathbf{31,00,000 \text{ shares}}$.
Combined Earnings = $₹ 1,25,00,000 + ₹ 40,00,000 = \mathbf{₹ 1,65,00,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 1,65,00,000}{31,00,000} = \mathbf{₹ 5.3226 \approx ₹ 5.32 \text{ per share}}$$
(Pre-merger EPS of Abhiman was $125 / 25 = ₹ 5.00$).
Part (c): Post-Merger Market Price (P/E = 11)
$$\mathbf{\text{Post-Merger MPS}} = ₹ 5.3226 \times 11 = \mathbf{₹ 58.55 \text{ per share}}$$
Part (d): Shareholder Wealth Impact
• Abhiman Shareholders: Pre-merger price = ₹ 60.00; Post-merger = ₹ 58.55. Loss of -₹ 1.45 per share.
• Janam Shareholders: Equivalent price = $₹ 58.55 \times 0.60 = ₹ 35.13$. Pre-merger price = ₹ 36.00. Loss of -₹ 0.87 per share.
• Swap Ratio = 0.60.
• Post-Merger EPS = ₹ 5.32.
• Post-Merger MPS = ₹ 58.55.
• Both groups lose slightly because combined P/E (11) dropped from Abhiman's pre-merger P/E (12).
Practical Question 21: T Ltd. & E Ltd. - EBIDAT Multiple Acquisition
T Ltd. and E Ltd. are in the same industry. The former is in negotiation for acquisition of the latter. Financial summary:
| Particulars | T Ltd. | E Ltd. |
|---|---|---|
| Equity Shares (₹ 10 each) | 12 Lakhs | 6 Lakhs |
| Debt: 10% Debentures | ₹ 580 Lakhs | — |
| Debt: 12.5% Institutional Loan | — | ₹ 240 Lakhs |
| EBIDAT | ₹ 400.86 Lakhs | ₹ 115.71 Lakhs |
| Market Price per Share | ₹ 220 | ₹ 110 |
T Ltd. offers to buy E Ltd. on the basis of 7 times EBIDAT minus debt, consideration to be discharged in T Ltd. equity shares at market price. Tax rate is 30%. Depreciation is negligible.
Calculate: (i) Purchase consideration, (ii) Number of shares to be issued, (iii) Post-merger EPS of T Ltd., and (iv) Expected market price if T Ltd.'s P/E remains unchanged.
Part (i): Purchase Consideration Payable to E Ltd.
Enterprise Value of E Ltd. = $7 \times \text{EBIDAT } (₹ 115.71 \text{ Lakhs}) = ₹ 809.97 \text{ Lakhs}$.
Less: Outstanding Debt of E Ltd. = (₹ 240.00 Lakhs).
$$\mathbf{\text{Net Purchase Consideration}} = ₹ 809.97 \text{ Lakhs} - ₹ 240.00 \text{ Lakhs} = \mathbf{₹ 569.97 \text{ Lakhs}}$$
Part (ii): Number of Shares to be Issued by T Ltd.
Issue price of T Ltd. share = ₹ 220 per share.
$$\mathbf{\text{Number of Shares Issued}} = \frac{₹ 569.97 \text{ Lakhs}}{₹ 220} = \mathbf{2,59,077 \text{ shares } \approx 2.59 \text{ Lakhs shares}}$$
Part (iii): Post-Merger EPS of T Ltd.
| Particulars | Amount (₹ Lakhs) |
|---|---|
| Combined EBIDAT ($400.86 + 115.71$) | 516.57 |
| Less: Combined Interest ($58.00 + 30.00$) | (88.00) |
| Combined PBT | 428.57 |
| Less: Tax @ 30% | (128.57) |
| Combined Earnings (PAT) | ₹ 300.00 Lakhs |
Total Post-Merger Shares = $12.00 \text{ Lakhs} + 2.59 \text{ Lakhs} = \mathbf{14.59 \text{ Lakhs shares}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 300.00 \text{ Lakhs}}{14.59 \text{ Lakhs}} = \mathbf{₹ 20.56 \text{ per share}}$$
Part (iv): Expected Market Price per Share
Pre-merger EPS of T Ltd. = $\frac{(400.86 - 58) \times 0.70}{12} = \frac{240.00}{12} = ₹ 20.00$.
Pre-merger P/E multiple of T Ltd. = $\frac{₹ 220}{₹ 20} = \mathbf{11.00 \text{ times}}$.
$$\mathbf{\text{Expected Post-Merger MPS}} = \text{Post-Merger EPS } (₹ 20.56) \times 11.00 = \mathbf{₹ 226.16 \text{ per share (or ₹ 240.55)}}$$
• Purchase Consideration = ₹ 569.97 Lakhs.
• Shares Issued = 2,59,077 shares.
• Post-Merger EPS = ₹ 20.56.
• Expected Market Price = ₹ 226.16 per share.
Practical Question 22: Fortune India Ltd. - Demerger of Pharma Division
Fortune India Ltd. has two divisions: Pharma Division and FMCG Division. Paid-up share capital is 3,000 Lakhs equity shares of Re. 1 each. Fortune India Ltd. decided to de-merge Pharma Division as Fortune Pharma Ltd. w.e.f. 1.4.2009. Total Net Worth of Fortune India Ltd. is ₹ 45,000 Lakhs, of which Pharma Division represents ₹ 21,000 Lakhs and FMCG Division represents ₹ 24,000 Lakhs. Pre-demerger market price of Fortune India Ltd. is ₹ 80 per share.
Calculate: (1) The ratio in which shares of Fortune Pharma Ltd. are to be issued to shareholders of Fortune India Ltd., (2) Expected market price of Fortune India (FMCG) Ltd., and (3) Book value per share of both companies immediately after demerger.
1. Ratio of Shares of Fortune Pharma Ltd. to be Issued
Net Worth proportion of Pharma Division = $\frac{₹ 21,000 \text{ Lakhs}}{₹ 45,000 \text{ Lakhs}} = \mathbf{46.67\% \text{ (or 7/15)}}$.
If paid-up equity capital of Fortune Pharma is maintained in proportion to net worth:
$$\text{Equity Shares to be Issued} = 3,000 \text{ Lakhs} \times \frac{7}{15} = \mathbf{1,400 \text{ Lakhs shares}}$$
$$\mathbf{\text{Demerger Share Entitlement Ratio}} = \mathbf{7 \text{ shares of Fortune Pharma for every 15 shares held in Fortune India Ltd.}}$$
2. Expected Market Price of Fortune India (FMCG) Ltd.
FMCG Division represents $\frac{₹ 24,000 \text{ Lakhs}}{₹ 45,000 \text{ Lakhs}} = 53.33\%$ of total business value.
$$\mathbf{\text{Expected Market Price of FMCG Co.}} = ₹ 80 \times \left(\frac{24,000}{45,000}\right) = \mathbf{₹ 42.67 \text{ per share}}$$
(And Market Price of Fortune Pharma Ltd. = $₹ 80 \times \frac{21,000}{45,000} \times \frac{15}{7} = \mathbf{₹ 80.00 \text{ per share}}$).
3. Book Value Per Share Post-Demerger
• Fortune Pharma Ltd.: $\text{BVPS} = \frac{\text{Net Worth } (₹ 21,000 \text{ Lakhs})}{\text{Number of Shares } (1,400 \text{ Lakhs})} = \mathbf{₹ 15.00 \text{ per share}}$.
• Fortune India (FMCG) Ltd.: $\text{BVPS} = \frac{\text{Net Worth } (₹ 24,000 \text{ Lakhs})}{\text{Number of Shares } (3,000 \text{ Lakhs})} = \mathbf{₹ 8.00 \text{ per share}}$.
• (1) Share Entitlement Ratio = 7 shares for every 15 shares held.
• (2) Expected Market Price of FMCG Co. = ₹ 42.67 per share.
• (3) Book Value per share: Fortune Pharma = ₹ 15.00; Fortune FMCG = ₹ 8.00.
Practical Question 23: H Ltd. & B Ltd. - Comprehensive Valuation
H Ltd. agrees to buy over the business of B Ltd. effective 1st April, 2012. Summarized Balance Sheets show Net Assets of B Ltd. as ₹ 3.50 Crores, maintainable PAT of ₹ 40 Lakhs with normal capitalization rate 10%, and market price ₹ 45 per share.
Determine: (i) Net Asset Value, (ii) PECV, (iii) Market Value, and (iv) Fair Value per share.
Valuation Breakdown for B Ltd. (10 Lakh Shares):
• (i) Net Asset Value (NAV): $\frac{₹ 3,50,00,000}{10,00,000} = \mathbf{₹ 35.00 \text{ per share}}$.
• (ii) Profit Earning Capacity Value (PECV): $\frac{₹ 40,00,000 / 0.10}{10,00,000} = \mathbf{₹ 40.00 \text{ per share}}$.
• (iii) Market Value: Given directly = $\mathbf{₹ 45.00 \text{ per share}}$.
• (iv) Fair Value per share: $\frac{\text{NAV } (35) + \text{PECV } (40)}{2} = \mathbf{₹ 37.50 \text{ per share}}$.
Practical Question 24: Reliable Industries Ltd. - Sunflower Takeover
Reliable Industries Ltd. (RIL) is considering a takeover of Sunflower Industries Ltd. Pre-merger financials:
| Particulars | RIL | Sunflower |
|---|---|---|
| Earnings After Tax | ₹ 100 Crores | ₹ 20 Crores |
| Number of Shares | 20 Crores | 8 Crores |
| Market Price per Share | ₹ 100 | ₹ 40 |
Synergy benefit of ₹ 10 Crores p.a. is expected. RIL offers a swap ratio based on current market price. Calculate: (i) Pre-merger market values, (ii) Swap ratio & post-merger EPS, and (iii) Gain to both companies if combined P/E is 18.
Part (i): Pre-Merger Market Values
• RIL: $20 \text{ Cr} \times ₹ 100 = \mathbf{₹ 2,000 \text{ Crores}}$.
• Sunflower: $8 \text{ Cr} \times ₹ 40 = \mathbf{₹ 320 \text{ Crores}}$.
Part (ii): Swap Ratio & Post-Merger EPS
$$\text{Swap Ratio} = \frac{₹ 40}{₹ 100} = \mathbf{0.40 \text{ shares of RIL for 1 share of Sunflower}}$$
New shares issued = $8 \text{ Cr} \times 0.40 = \mathbf{3.20 \text{ Crores shares}}$.
Total Post-Merger Shares = $20 + 3.20 = \mathbf{23.20 \text{ Crores shares}}$.
Combined Earnings = $₹ 100\text{ Cr} + ₹ 20\text{ Cr} + ₹ 10\text{ Cr (Synergy)} = \mathbf{₹ 130 \text{ Crores}}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 130 \text{ Crores}}{23.20 \text{ Crores}} = \mathbf{₹ 5.6034 \approx ₹ 5.60 \text{ per share}}$$
Part (iii): Post-Merger Market Price (P/E = 18) & Gains
$$\mathbf{\text{Post-Merger MPS}} = ₹ 5.6034 \times 18 = \mathbf{₹ 100.86 \text{ per share}}$$
• RIL Shareholders: Gain per share = $₹ 100.86 - ₹ 100.00 = \mathbf{+₹ 0.86 \text{ per share}}$ (Total gain = ₹ 17.20 Cr).
• Sunflower Shareholders: Equivalent price = $₹ 100.86 \times 0.40 = ₹ 40.34$. Gain = $₹ 40.34 - ₹ 40.00 = \mathbf{+₹ 0.34 \text{ per share}}$ (Total gain = ₹ 2.72 Cr).
• Swap Ratio = 0.40.
• Post-Merger EPS = ₹ 5.60.
• Post-Merger MPS = ₹ 100.86.
• Both groups gain positive shareholder wealth from the operational synergy.
Practical Question 25: AFC Ltd. & BCD Ltd. - Acquisition Analysis
AFC Ltd. wishes to acquire BCD Ltd. The shares issued by the two companies are 10,00,000 and 5,00,000 respectively. Market price per share is ₹ 50 for AFC Ltd. and ₹ 25 for BCD Ltd. Both companies have P/E ratio of 10 times. Synergy gain of ₹ 2,50,000 is expected.
Calculate: (i) Pre-merger EPS and PAT, (ii) Swap ratio based on MPS, (iii) Post-merger EPS, and (iv) Value of the combined firm.
Part (i): Pre-Merger Fundamentals
• AFC Ltd.: $\text{EPS} = \frac{₹ 50}{10} = \mathbf{₹ 5.00} \implies \text{PAT} = 10\text{L} \times 5 = \mathbf{₹ 50,00,000}$.
• BCD Ltd.: $\text{EPS} = \frac{₹ 25}{10} = \mathbf{₹ 2.50} \implies \text{PAT} = 5\text{L} \times 2.5 = \mathbf{₹ 12,50,000}$.
Part (ii): Swap Ratio Based on Market Prices
$$\text{Swap Ratio} = \frac{₹ 25}{₹ 50} = \mathbf{0.50 \text{ shares of AFC for 1 share of BCD}}$$
New shares issued = $5,00,000 \times 0.50 = \mathbf{2,50,000 \text{ shares}}$. Total shares = $12,50,000$.
Part (iii): Post-Merger EPS
Combined Earnings = $₹ 50\text{L} + ₹ 12.5\text{L} + ₹ 2.5\text{L (Synergy)} = \mathbf{₹ 65,00,000}$.
$$\mathbf{\text{Post-Merger EPS}} = \frac{₹ 65,00,000}{12,50,000} = \mathbf{₹ 5.20 \text{ per share}}$$
Part (iv): Combined Firm Value (P/E = 10)
$$\mathbf{\text{Combined Firm Value}} = ₹ 65,00,000 \times 10 = \mathbf{₹ 6,50,00,000 \text{ (₹ 6.50 Crores)}}$$
• Swap Ratio = 0.50.
• Post-Merger EPS = ₹ 5.20.
• Combined Value = ₹ 6.50 Crores.
Practical Question 26: AB Ltd. & XY Ltd. - Swap Ratio Determination
AB Ltd. is planning to acquire and absorb the running business of XY Ltd. Determine the swap ratio under: (i) Net Asset Method, and (ii) Price-Earnings Multiple Method.
Summary of Exchange Ratios:
• (i) Net Asset Method: $\text{NAV}_{\text{AB}} = ₹ 42.00, \text{NAV}_{\text{XY}} = ₹ 24.50 \implies \mathbf{\text{Swap Ratio} = \frac{24.50}{42.00} = 0.5833}$.
• (ii) PE Multiple Method: $\text{MPS}_{\text{AB}} = ₹ 50.00, \text{MPS}_{\text{XY}} = ₹ 25.00 \implies \mathbf{\text{Swap Ratio} = \frac{25.00}{50.00} = 0.5000}$.
• Recommended Compromise Ratio: 0.54 shares of AB Ltd. for 1 share of XY Ltd.
Practical Question 27: R Ltd. & S Ltd. - Comprehensive Comparative Metrics
R Ltd. and S Ltd. are companies that operate in the same industry. Financial data indicates:
| Particulars | R Ltd. | S Ltd. |
|---|---|---|
| Total Earnings (PAT) | ₹ 120 Lakhs | ₹ 40 Lakhs |
| Equity Shares | 20 Lakhs | 10 Lakhs |
| Equity Share Capital (₹ 10 each) | ₹ 200 Lakhs | ₹ 100 Lakhs |
| Reserves & Surplus | ₹ 600 Lakhs | ₹ 200 Lakhs |
| Market Price per Share | ₹ 90 | ₹ 36 |
Calculate: (i) EPS, P/E Ratio, ROE, and BVPS for both firms, and (ii) Exchange ratio based on MPS, EPS, and Book Value.
Part (i): Comparative Performance Metrics
| Financial Metric | R Ltd. | S Ltd. |
|---|---|---|
| Earnings Per Share (EPS) | $₹ 120\text{L} / 20\text{L} = \mathbf{₹ 6.00}$ | $₹ 40\text{L} / 10\text{L} = \mathbf{₹ 4.00}$ |
| Price-to-Earnings (P/E) Ratio | $₹ 90 / ₹ 6 = \mathbf{15.00 \text{ times}}$ | $₹ 36 / ₹ 4 = \mathbf{9.00 \text{ times}}$ |
| Book Value per Share (BVPS) | $(200 + 600) / 20 = \mathbf{₹ 40.00}$ | $(100 + 200) / 10 = \mathbf{₹ 30.00}$ |
| Return on Equity (ROE) | $120 / 800 = \mathbf{15.00\%}$ | $40 / 300 = \mathbf{13.33\%}$ |
Part (ii): Exchange Ratios under Different Bases
• Market Price Basis: $\frac{₹ 36}{₹ 90} = \mathbf{0.40 \text{ shares of R for 1 share of S}}$.
• EPS Basis: $\frac{₹ 4.00}{₹ 6.00} = \mathbf{0.6667 \text{ shares of R for 1 share of S}}$.
• Book Value Basis: $\frac{₹ 30.00}{₹ 40.00} = \mathbf{0.75 \text{ shares of R for 1 share of S}}$.
Exchange ratios range from 0.40 (market price basis, favorable to acquirer R Ltd.) to 0.75 (book value basis, favorable to target S Ltd.).
Practical Question 28: BA Ltd. & DA Ltd. - Multi-Criteria Swap Ratios
BA Ltd. and DA Ltd. operate in the same industry. Financial statements show:
| Particulars | BA Ltd. | DA Ltd. |
|---|---|---|
| Earnings After Tax | ₹ 150 Lakhs | ₹ 45 Lakhs |
| Number of Shares | 25 Lakhs | 15 Lakhs |
| Book Value of Equity | ₹ 1,000 Lakhs | ₹ 450 Lakhs |
| Market Price per Share | ₹ 72 | ₹ 24 |
Determine the exchange ratio based on: (a) Market Price, (b) EPS, (c) Book Value, and (d) Fair Value giving weights of 2 to Market Price, 1 to EPS, and 1 to Book Value.
Individual Swap Ratios:
• $\text{EPS}_{\text{BA}} = 150 / 25 = ₹ 6.00$; $\text{EPS}_{\text{DA}} = 45 / 15 = ₹ 3.00$.
• $\text{BVPS}_{\text{BA}} = 1000 / 25 = ₹ 40.00$; $\text{BVPS}_{\text{DA}} = 450 / 15 = ₹ 30.00$.
| Basis | DA Ltd. (Target) | BA Ltd. (Acquirer) | Exchange Ratio |
|---|---|---|---|
| (a) Market Price (MPS) | ₹ 24.00 | ₹ 72.00 | $24 / 72 = \mathbf{0.3333}$ |
| (b) Earnings (EPS) | ₹ 3.00 | ₹ 6.00 | $3 / 6 = \mathbf{0.5000}$ |
| (c) Book Value (BVPS) | ₹ 30.00 | ₹ 40.00 | $30 / 40 = \mathbf{0.7500}$ |
(d) Weighted Fair Exchange Ratio:
$$\text{Weighted Swap Ratio} = \frac{(0.3333 \times 2) + (0.5000 \times 1) + (0.7500 \times 1)}{2 + 1 + 1} = \frac{0.6667 + 0.5000 + 0.7500}{4} = \frac{1.9167}{4} = \mathbf{0.4792}$$
Practical Question 29: Weak Bank (W) & Strong Bank (S) - RBI Mandated Swap
During the audit of Weak Bank (W), RBI suggested that the bank should merge with Strong Bank (S). Parameters and assigned weights:
| Parameter | Weak Bank (W) | Strong Bank (S) | Assigned Weight (%) |
|---|---|---|---|
| Gross NPA (%) | 40% | 5% | 30% |
| Capital Adequacy Ratio (CAR) | 5% | 16% | 28% |
| Market Price per Share | ₹ 12 | ₹ 96 | 32% |
| Book Value per Share | ₹ 12 | ₹ 120 | 10% |
Calculate the weighted swap ratio for the merger of Weak Bank with Strong Bank.
Computation of Weighted Swap Ratio
Note: For Gross NPA, lower is better, so the ratio is $\frac{\text{Strong}}{\text{Weak}} = \frac{5}{40}$. For CAR, Market Price, and BVPS, higher is better, so ratio is $\frac{\text{Weak}}{\text{Strong}}$.
| Parameter | Ratio Comparison | Calculation | Weight | Weighted Value |
|---|---|---|---|---|
| Gross NPA | $5 : 40$ | $5 / 40 = 0.1250$ | 30% | $0.1250 \times 0.30 = \mathbf{0.0375}$ |
| CAR | $5 : 16$ | $5 / 16 = 0.3125$ | 28% | $0.3125 \times 0.28 = \mathbf{0.0875}$ |
| Market Price | $12 : 96$ | $12 / 96 = 0.1250$ | 32% | $0.1250 \times 0.32 = \mathbf{0.0400}$ |
| Book Value per Share | $12 : 120$ | $12 / 120 = 0.1000$ | 10% | $0.1000 \times 0.10 = \mathbf{0.0100}$ |
| Composite Weighted Swap Ratio | 0.1750 | |||
For every 1 share of Weak Bank (W), Strong Bank (S) will issue 0.1750 shares (or 7 shares of Strong Bank for every 40 shares of Weak Bank).
Practical Question 30: Tiger Ltd. & Leopard Ltd. - Purchase Consideration & NPV
Tiger Ltd. wants to acquire Leopard Ltd. The balance sheet of Leopard Ltd. shows 70,000 equity shares of ₹ 10 each, Retained earnings ₹ 3,00,000, 12% Debentures ₹ 3,00,000, Creditors ₹ 3,20,000, Cash ₹ 50,000, Debtors ₹ 70,000, Inventories ₹ 2,00,000, and Plants & Equipment ₹ 13,00,000.
Tiger Ltd. agrees to issue 35,000 shares @ ₹ 15 each, settle external liabilities at ₹ 5,00,000, and issue 13% debentures for ₹ 3,00,000. Debtors and inventories realize ₹ 2,00,000. Operating cash inflows from acquisition are projected at ₹ 3,00,000 p.a. for 5 years. Cost of capital is 12% (PVIFA @ 12%, 5 yrs = 3.6048).
Calculate: (i) Net Purchase Consideration Outflow, and (ii) Net Present Value (NPV) of the acquisition.
Part (i): Net Effective Cash Outflow for Acquisition
| Particulars | Amount (₹) |
|---|---|
| Equity Shares Issued ($35,000 \times ₹ 15$) | 5,25,000 |
| Settlement of External Liabilities | 5,00,000 |
| 13% Debentures Issued | 3,00,000 |
| Gross Purchase Consideration | 13,25,000 |
| Less: Cash acquired from Leopard Ltd. | (50,000) |
| Less: Realization of Debtors & Inventories | (2,00,000) |
| Net Effective Acquisition Outflow | ₹ 10,75,000 |
Part (ii): Net Present Value (NPV)
$$\text{PV of Annual Cash Inflows} = ₹ 3,00,000 \times 3.6048 = \mathbf{₹ 10,81,440}$$
$$\mathbf{\text{Net Present Value (NPV)}} = ₹ 10,81,440 - ₹ 10,75,000 = \mathbf{+₹ 6,440}$$
The acquisition yields a positive NPV of +₹ 6,440 and should be accepted.
Practical Question 31: XYZ Ltd. & PQR Ltd. - Maximum Tender Offer Price
The equity shares of XYZ Ltd. are currently being traded at ₹ 24 per share in the market. XYZ Ltd. has 10,00,000 shares outstanding; promoters hold 40%. PQR Ltd. wishes to acquire XYZ Ltd. due to synergies with present value of ₹ 80,00,000. PQR also anticipates management compensation savings with present value of ₹ 30,00,000.
Calculate: (i) Maximum price per share PQR Ltd. can offer for XYZ Ltd., and (ii) Minimum price acceptable to non-promoter public shareholders.
Part (i): Maximum Price Per Share PQR Ltd. Can Offer
| Component | Amount (₹) |
|---|---|
| Current Standalone Market Capitalization ($10,00,000 \times ₹ 24$) | ₹ 2,40,00,000 |
| Add: Present Value of Operational Synergies | +₹ 80,00,000 |
| Add: Present Value of Management Cost Savings | +₹ 30,00,000 |
| Total Maximum Value of XYZ Ltd. to Acquirer | ₹ 3,50,00,000 |
$$\mathbf{\text{Maximum Price per Share}} = \frac{₹ 3,50,00,000}{10,00,000 \text{ shares}} = \mathbf{₹ 35.00 \text{ per share}}$$
Part (ii): Minimum Price Acceptable to Public Shareholders
Public shareholders will not accept any price below the prevailing market price of ₹ 24.00 per share.
• Minimum Offer Price = ₹ 24.00 per share.
• Maximum Offer Price = ₹ 35.00 per share.