Weighted average cost of capital (WACC)
Financial Management · Unit I · Topic 3 of 16 · 4 min read
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1. Meaning and method
The WACC (overall cost of capital, ko) is the average of the specific costs of each source, each weighted by its share in the total capital:
ko = kdWd + kpWp + keWe + krWr
All specific costs must be after tax. It is the discount rate for a project of the firm’s normal risk financed in the firm’s normal proportions.
Two ways to lay it out. The weights method multiplies each cost by its proportion. The total-cost method multiplies each amount by its cost to get a rupee cost, adds them, and divides by total capital. Both give the same answer; when a question asks for both (January 2026), show both.
2. Choice of weights
- Book-value weights: from the balance sheet. Easy to obtain and stable, but historical.
- Market-value weights: current market prices of the securities. Closer to the cost of raising funds today, and preferred in theory, but they fluctuate. Retained earnings have no separate market value: the market value of equity covers both, so it is split between equity and retained earnings in the ratio of their book values.
- Marginal weights: the proportions in which new funds will be raised. The marginal cost of capital is the cost of the next rupee; it rises as the firm raises more.
3. Worked problem: January 2026
Equity 10,000 shares of Rs. 10 (market Rs. 15), ke 12%; debentures 10,000 of Rs. 100 (market Rs. 120), kd after tax 11%.
| Source | Book Rs. | Cost | Book cost Rs. | Market Rs. | Market cost Rs. |
|---|---|---|---|---|---|
| Equity | 1,00,000 | 12% | 12,000 | 1,50,000 | 18,000 |
| Debentures | 10,00,000 | 11% | 1,10,000 | 12,00,000 | 1,32,000 |
| Total | 11,00,000 | 1,22,000 | 13,50,000 | 1,50,000 |
Book: 1,22,000 ÷ 11,00,000 = 11.09%. Market: 1,50,000 ÷ 13,50,000 = 11.11%. By weights: book 0.0909 × 12 + 0.9091 × 11 = 1.09 + 10.00 = 11.09%; market 0.1111 × 12 + 0.8889 × 11 = 1.33 + 9.78 = 11.11%.
4. Worked problem: Sri Company (February 2025)
Equity Rs. 40,00,000, 6% preference Rs. 10,00,000, 8% debentures Rs. 30,00,000. Share price Rs. 20, expected dividend Rs. 2 growing at 7%, tax 40%.
ke = 2/20 + 0.07 = 17%; kp = 6%; kd = 8 × 0.6 = 4.8%.
| Source | Rs. lakh | Weight | Cost | W × k |
|---|---|---|---|---|
| Equity | 40 | 0.500 | 17.0% | 8.50 |
| Preference | 10 | 0.125 | 6.0% | 0.75 |
| 8% debentures | 30 | 0.375 | 4.8% | 1.80 |
| WACC | 80 | 1.000 | 11.05% |
(b) After Rs. 20,00,000 of 10% debentures, dividend Rs. 3, price Rs. 15, growth 7%: ke = 3/15 + 0.07 = 27%; new debt 10 × 0.6 = 6%.
| Source | Rs. lakh | Weight | Cost | W × k |
|---|---|---|---|---|
| Equity | 40 | 0.40 | 27.0% | 10.80 |
| Preference | 10 | 0.10 | 6.0% | 0.60 |
| 8% debentures | 30 | 0.30 | 4.8% | 1.44 |
| 10% debentures | 20 | 0.20 | 6.0% | 1.20 |
| WACC | 100 | 1.00 | 14.04% |
The WACC rises from 11.05% to 14.04%: the extra debt is cheap, but the fall in share price signals that shareholders now see more risk, and the rise in ke outweighs the cheap debt. Comment on this in one line; it earns the last mark.
5. Worked problem: Tara Co. Ltd (February 2025; same figures August 2024)
| Source | Book Rs. | Market Rs. | Cost | Book cost | Market cost |
|---|---|---|---|---|---|
| Debentures | 4,00,000 | 3,80,000 | 5% | 20,000 | 19,000 |
| Equity | 6,00,000 | 9,00,000 | 15% | 90,000 | 1,35,000 |
| Preference | 1,00,000 | 1,10,000 | 8% | 8,000 | 8,800 |
| Retained earnings | 2,00,000 | 3,00,000 | 13% | 26,000 | 39,000 |
| Total | 13,00,000 | 16,90,000 | 1,44,000 | 2,01,800 |
Book-value WACC = 1,44,000 ÷ 13,00,000 = 11.08%. Market-value WACC = 2,01,800 ÷ 16,90,000 = 11.94%.
How this is examined
Expect one WACC problem in every paper, sometimes as the “OR” to a specific-cost problem. Write the formula, compute every specific cost after tax, lay out the table, and comment on the result. Theory questions on cost of capital use the companion note on specific costs.
Now try the real questions: Financial Management past question papers.