The total market value of the equity share of O.R.E. Company is 60,00,000 and the total value of the debt is 40,00,000. The treasurer estimate that…

CA Final · Advanced Financial Management · MTP · January 2026
The total market value of the equity share of O.R.E. Company is 60,00,000 and the total value of the debt is 40,00,000. The treasurer estimate that the beta of the stock is currently 1.5 and that the expected risk premium on the market is 10 per cent. The treasury bill rate is 8 per cent. Required: (i) What is the beta of the Company's existing portfolio of assets? (ii) Estimate the discount rate for an expansion of the company's present business if only equity is used to finance the expansion.

Suggested Answer and Working Notes:

(i) βasset = βequity × (VE / (VE + VD)) + βdebt × (VD / (VE + VD)) Note: Since βdebt is not given it is assumed that company debt capital is virtually riskless. If company's debt capital is riskless than above relationship become: βasset = βequity × (VE / VO) Here βequity = 1.5; As βdebt = 0 VE = 60 lakhs. VD = 40 lakhs. VO = 100 lakhs. βasset = 1.5 × (60 lakhs / 100 lakhs) = 0.9 (ii) If only equity is used to finance the expansion, the Cost of Capital for discounting company's expansion of existing business shall be computed as follows: Company's cost of equity = Rf + βA × Market Risk premium Where Rf = Risk free rate of return βA = Beta of company assets Therefore, company's cost of equity = 8% + 0.9 × 10% = 17% and overall cost of capital i.e. discounting rate for an expansion of company's present business shall also be 17%.

Topics: Business Valuation

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