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ACCA Applied Skills · Financial Management

Estimating the Cost of Capital for ACCA Financial Management

The cost of capital is the return investors require for funding a business. You estimate each source separately: equity with the dividend valuation model or CAPM, debt from the IRR of its cash flows after tax, then weight them by market value to get WACC. WACC is the discount rate for investment appraisal.

What this chapter covers

This chapter teaches you how to put a number on what each source of finance costs the company. You work through ordinary shares, irredeemable and redeemable debt, convertibles, preference shares and bank loans. Then you combine them into the weighted average cost of capital (WACC). The last topic links the cost of debt to market conditions through yield curves and credit spreads.

The core idea is simple. Investors give money and expect a return for the risk they take. That expected return is the cost to the company. Equity holders carry the most risk, so equity costs more than debt. Debt interest is tax deductible in most questions, so you use the after-tax cost of debt in WACC.

This chapter feeds the rest of FM. WACC is the discount rate in NPV, so errors here spoil investment appraisal answers. It also connects to capital structure, gearing, business valuation and the adjusted present value method. Expect it in Section A and B objective questions as well as in Section C calculations.

Cost of capital questions are formula-driven and predictable, so they reward practice. Objective test questions are marked all or nothing, which means you must get the method exactly right, including the tax adjustment, the use of ex-div prices and the choice of market values. The same skills are needed inside NPV and valuation questions in Section C, so one chapter pays off across the whole paper. Cost of capital methods can be tested in objective test questions and in Section C, so be ready for both.

Estimating the cost of capital: topics in the order to study them

  1. 1Cost of Equity and the Dividend Valuation ModelStart with the simplest idea: share price is the present value of future dividends, and the dividend growth rate matters.
  2. 2CAPM and Cost of EquityLearn the second way to find the cost of equity, based on systematic risk, and compare it with the dividend model.
  3. 3Cost of Debt: Irredeemable, Redeemable and ConvertibleMove to debt once equity is clear. Redeemable and convertible debt need IRR, so they take more practice.
  4. 4Cost of Preference Shares and Bank DebtThese are short extensions of the debt and equity methods, and they complete the set of inputs for WACC.
  5. 5Weighted Average Cost of Capital (WACC)You can only combine the costs once you can calculate each one, so this comes after all the component topics.
  6. 6Yield Curves, Credit Spreads and Cost of CapitalThis is the conceptual topic that explains where debt costs come from. It is best learned once the calculations are secure.

How to prepare Estimating the cost of capital

Build the chapter in layers. First master each single cost, then combine them, then practise exam-style mixes.

  1. Write each formula on one page and note what every symbol means, including whether the price is cum div or ex div.
  2. Do five short calculations for each cost of equity method until you can set them out without notes.
  3. Practise redeemable and convertible debt by finding the IRR with two discount rates and interpolating. Always use after-tax cash flows.
  4. Calculate WACC using market values, not book values. Practise building the table of values, costs and weights.
  5. Do past-style objective questions in timed sets. Check units, tax and the date of the dividend each time.
  6. Answer one Section C style question in full. Show workings clearly, state assumptions, and add a short comment on the limitations of your answer.

Common mistakes in Estimating the cost of capital

  • Using the cum div share price in the dividend valuation model.

    Fix: Check whether a dividend is about to be paid. Deduct it first if the price is cum div, so P0 is ex div.

  • Forgetting the tax adjustment on debt, or applying it to preference shares.

    Fix: Interest on debt is tax deductible, so use after-tax cost. Preference dividends are not, so leave them untaxed.

  • Using book values as WACC weights.

    Fix: Use market values. Take share price × number of shares and debt at its market price.

  • Calculating redeemable debt cost with pre-tax interest or the wrong timing of tax.

    Fix: Follow the tax timing the question states, either the same year or one year in arrears, when you build the after-tax interest cash flows. Draw a timeline. Show price at time 0, after-tax interest each year and redemption at the end. Then interpolate between two rates.

  • Mixing up the inputs of CAPM, for example using the market return instead of the risk premium.

    Fix: Underline what you are given. If Rm is given, subtract Rf. If the premium is given, use it directly.

  • Applying WACC to every project without comment.

    Fix: State the assumption that the project has similar business risk and does not change the capital structure. Otherwise a different rate is needed.

Last-day revision: Estimating the cost of capital

  • Dividend valuation model: Ke = D1 ÷ P0 + g, with P0 ex div.
  • Dividend growth: estimate g from past dividends as g = (D_latest ÷ D_earliest)^(1 ÷ n) − 1, where n is the number of years of growth, meaning the number of intervals between the earliest and latest dividend, not the number of dividends listed.
  • CAPM: Ke = Rf + β × (Rm − Rf).
  • CAPM gives the required return for systematic risk only.
  • Irredeemable debt after tax: Kd = i × (1 − t) ÷ P0, where i is annual interest.
  • Redeemable debt: Kd is the IRR of price, after-tax interest and redemption value.
  • Convertible debt: Kd is the IRR of the market price at time 0, the after-tax interest each year, and the higher of the cash redemption value and the conversion value at the conversion date. Conversion value = expected future share price × number of shares per bond. Estimate the future share price using the growth rate given in the question, for example P0 × (1 + g)^n. Compare the conversion value with the redemption value, and use the higher figure as the final cash flow in the IRR.
  • Preference shares: Kp = dividend ÷ price, with no tax adjustment.
  • Bank debt: after-tax cost = interest rate × (1 − t), if tax relief is available and the loan is at par.
  • WACC weights use market values of each source.
  • Use WACC for projects only if business risk and gearing stay unchanged.
  • A credit spread is the extra yield over a risk-free rate, which reflects default risk.

Estimating the cost of capital practice questions

Estimating the cost of capital in other exams

The same ground in other exams, if you are preparing for more than one or want another angle on it.

Estimating the cost of capital: frequently asked questions

Which formula should I use for cost of equity in the exam?

Use the one the question gives data for. If you have dividends and a share price, use the dividend valuation model. If you have a beta and market returns, use CAPM. If both are available, use one and comment on the other.

Why do we use market values in WACC?

Market values show what investors currently require, and they reflect the actual weight of each source in the company's financing today. Book values show historical amounts and can be very different.

Is cost of debt always lower than cost of equity?

Usually it is, because debt holders have a prior claim and interest is tax deductible. This is a general pattern, not a rule for every case, so always calculate the costs from the data given.

How do I find the cost of redeemable debt?

Set out the cash flows: the market price as an outflow, after-tax interest each year and the redemption value at the end. Calculate NPV at two discount rates and interpolate to estimate the IRR.

How are yield curves linked to cost of capital?

A yield curve shows how returns on similar debt vary with maturity. Adding a credit spread for the company's risk gives a market-based estimate of its pre-tax cost of debt.