Question

Crown Ltd has the following book value capital structure. Equity capital (shares of Rs 10 par value each) Rs 15 crore, 12% Preference capital (Rs 100 par value each) Rs 1 crore. Retained earnings Rs 20 crore, 11.5% Debentures (Rs 100 par value each) 10 crore and 11% Term loan Rs 12.5 crore. The next year expected dividend on equity is Rs 3.6 per share and has an expected growth rate of 7%. The market value is Rs 40/share. Preference stock, redeemable after 10 years is currently trading at Rs 75 per share. Debentures, trading at Rs 80 are redeemable after 6 years. Corporate tax rate is 40%.

Calculate the WACC as per book value weights and market value weights.

Answer 1

WACC as per book value weights

Book value of Equity & Retained Earnings = Rs.15 crores+ Rs.20 crores =Rs.35 crores

Book Value of preference Shares = Rs. 1 crores

Book Value of Debentures =Rs. 10 crores

Book value of Term loan = Rs.12.5 crores

Cost of Equity = Next year Dividend/Share price + growth rate =3.6/40+0.07 = 0.1600 or 16.00%

Cost of Preference Shares = Dividend/ market price of Preference Share = Rs.100*12%/Rs.75 = 0.1600 or 16.00%

Pretax cost of Debentures(r) is given by (assuming annual coupon)

11.5/r*(1-1/(1+r)^6)+100/(1+r)^6 =80

Solving r =0.1708 or 17.08%

Using Book value weights

WACC = 35/(35+1+10+12.5)*16%+1/(35+1+10+12.5)*16%+10/(35+1+10+12.5)*17.08%*(1-0.4) +12.5/(35+1+10+12.5)*11%*(1-0.4)

=13.008% or 13.01%

WACC as per market value weights

Market value of Equity & Retained Earnings = No of shares* Market price per share + Rs.20 crores

=15 crores/10 *40 + Rs.20 crores = Rs.80 crores

Market Value of preference Shares = No of preference shares* Market price per preference share

=Rs1 crores /100 * 75 = Rs.0.75 crores

Market Value of Debentures =No of Debentures* Market price per Debenture

=Rs10 crores /100 * 80 = Rs.8 crores

Market value of Term loan = Rs.12.5 crores

Using Market value weights

WACC = 80/(80+0.75+8+12.5)*16%+0.75/(80+0.75+8+12.5)*16%+8/(80+0.75+8+12.5)*17.08%*(1-0.4)+12.5/(80+0.75+8+12.5)*11%*(1-0.4)

=14.3852% or 14.39%