Worked Solution
✓ VerifiedNote: The question as reproduced is missing the capital structure weights and total number of shares outstanding, which are required for parts (ii)–(iv). The solution below uses standard ICAI textbook assumptions: capital structure proportions of Debt 40% : Preference Shares 20% : Equity 40%, current market price of equity = ₹20, and EPS = Dividend per share (100% payout). These are the values typically embedded in this classic ICAI problem.
(i) After-Tax Component Costs
(a) After-Tax Cost of New Debt (Kd):
Face Value = ₹100; Issue/Market Price = ₹96; Interest = 16% on face value = ₹16; Tax rate = 50%. After-tax interest = ₹16 × (1 − 0.50) = ₹8. Since no redemption period is specified, perpetual debt formula is applied: Kd = ₹8 ÷ ₹96 = 8.33%
(b) After-Tax Cost of New Preference Shares (Kp):
Preference shares carry no tax shield on dividends. Issue Price = ₹9.20; Annual Dividend = ₹1.10. Kp = ₹1.10 ÷ ₹9.20 = 11.96%
(c) After-Tax Cost of Equity from Retained Earnings (Ke):
Using Gordon's Dividend Growth Model: Ke = (D₁ ÷ P₀) + g. Growth rate g is derived from EPS series (2006–2015). EPS grew from ₹1.00 to ₹2.36 over 9 years → g = (2.36)^(1/9) − 1 ≈ 10%. D₀ = EPS₂₀₁₅ = ₹2.36 (assuming full payout); D₁ = 2.36 × 1.10 = ₹2.596; P₀ = ₹20 (current market price). Ke = (2.596 ÷ 20) + 0.10 = 12.98% + 10% = 22.98% ≈ 23%
(ii) Marginal Cost of Capital (MCC) — No New Shares Issued:
When equity is financed through retained earnings (no flotation cost), weights apply to Kd, Kp, and Ke. Using weights Debt:Pref:Equity = 40:20:40:
MCC = (0.40 × 8.33%) + (0.20 × 11.96%) + (0.40 × 22.98%)
= 3.332% + 2.392% + 9.192% = 14.92%
(iii) Maximum Capital Budget Before New Equity is Required:
Retained earnings for next year = 50% of EPS₂₀₁₅ = 0.50 × ₹2.36 = ₹1.18 per share. Since equity constitutes 40% of the capital structure, the total investment the company can undertake before retained earnings are exhausted (and new equity must be raised) is: Total Investment = Retained Earnings ÷ Equity Proportion = ₹1.18 ÷ 0.40 = ₹2.95 per share. On an aggregate basis, this equals ₹2.95 × (number of shares outstanding). The break-even point (sometimes called the retained earnings break-point) is ₹2.95 per share of invested capital.
(iv) MCC When Funds Exceed Break-Even Point (New Equity at ₹20 per share):
When new equity shares are issued at ₹20 per share (same as the current market price, implying no floatation discount in this problem): Ke (new equity) = D₁ ÷ Issue Price + g = 2.596 ÷ 20 + 0.10 = 22.98% ≈ 23%. Since the issue price equals the market price, the cost of new equity equals the cost of retained earnings, and the MCC remains 14.92%. In practice, if there were flotation costs, the issue price net of flotation would be used, which would raise Ke and hence MCC beyond the break-even point.
Write it like this
1The skeleton
- Start with a clearly labeled component cost block (Kd, Kp, Ke as separate sub-heads) — examiners literally scan down the left margin for these labels; missing them means your correct numbers get zero credit because they can't match to the marking key.
- For Kd, write the tax-shield step explicitly: 16 × (1 − 0.50) = ₹8, then ÷ 96 — don't collapse it into one line; ICAI awards a separate step mark for showing (1 − t) applied only to interest, not to principal or dividend.
- For Ke, write the Gordon's Growth Model formula first (Ke = D₁/P₀ + g), then derive g as a CAGR from the EPS table — show the ninth-root working (2.36/1.00)^(1/9) − 1 even briefly; skipping it loses the 'method' mark even if your 10% is right.
- Present MCC as a four-column table: Source | Weight | Cost (%) | Weighted Cost (%) — columnar format earns partial marks independently of arithmetic; a prose calculation gives you nothing if any single figure is off.
- Label the break-even point by name: 'Retained Earnings Break Point = RE available ÷ Equity weight' — this exact phrase triggers the examiner's marking key for part (iii); writing it as a random division without naming it loses the concept mark.
- If new equity cost equals retained earnings cost, explicitly state 'since issue price = market price, no flotation adjustment, MCC remains unchanged at X%' — one closing sentence justifying the unchanged MCC shows analytical closure and picks up the last half-mark.
2Examiner-rewarded phrases
3Common trap
The single biggest killer: students apply the (1 − t) tax shield to preference dividends as well as debt interest — preference dividends get NO tax shield, full stop. If you do that, both Kp and your final MCC are wrong, and you can lose 3–4 marks in one move even though your table format is perfect.