Sun Ltd. (listed company) has paid dividend of ₹ 10 per share in the current year. The estimated annual growth rate of the dividend is 5% per annum and share price is ₹ 120. Moon Private Ltd. (unlisted company), has paid

CS Professional · Corporate Restructuring, Insolvency, Liquidation & Winding-up · PYQS · June 2019
Sun Ltd. (listed company) has paid dividend of ₹ 10 per share in the current year. The estimated annual growth rate of the dividend is 5% per annum and share price is ₹ 120. Moon Private Ltd. (unlisted company), has paid dividend of ₹ 2 per share. The annual growth rate of the company is estimated to be 10% per annum. Calculate the rate of return of the listed company, Sun Ltd. and apply the same to unlisted company to compute the value of the share of the unlisted company Moon Private Ltd. (Assuming annual growth rate will continue for the future also.)

Answer & Explanation:

Gordon Growth model provides as under: P 0 = D 0 (1+g)/(r e -g) Where: P 0 = share price D 0 = current dividend g = rate of growth of dividend r e = rate of return required by the equity shareholders (student may also use k e instead of r e ) Computation of Rate of return required by shareholder of Sun Ltd. (listed company) By using the following formula rearranged as: r e = D 0 (1+g)/P 0 + g Rate of return (r e ) = 10 (1 + 5%)/120 + 5% = 10 (1 + 0.05)/120 + 0.05 = 0.1375 = 13.75% Computation of value of share of Moon Pvt. Ltd. P 0 = D 0 (1+g)/(r e -g) Value of share (P 0 ) = 2 (1+10%)/(13.75% - 10%) = 2 (1+0.1)/(0.1375-0.1) = 2.2/0.0375 = ₹58.67 per share

Topics: Valuation

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