Suppose that you have been consulted on buying a stock for £ 80 today. This stock is expected to have a capital gain of 20% in two years. given that the beta of this stock is 2 risk free rate is 6% and market risk premium is 11%, what is the fair price of this stock? Select one: a. 76.80 b 75.00 C. 58.59 d. 71.34
Buy price of Stock: £ 80 today
Expected capital gain: 20% in two years
Hence Value of share after 2 year : £ 80 + £ 80 * 20% = £ 96
Beta of the stock: 2
Risk free rate: 6%
Market risk premium:11%
Expected Return as per CAPM : Risk free rate + (Beta * Market risk premium)
Expected Return : 0.06 + ( 2 * 0.11)
Expected Return : 0.06 + 0.22
Expected Return : 0.28 or 28%
Hence,
Fair price of the stock today: Price after 2 year / ( 1 + Expected return)2
Fair price of the stock today: £ 96 / (1 + 0.28)2
Fair price of the stock today: £ 96 / 1.6384
Fair price of the stock today: £ 58.59
Correct opttion is C. 58.59
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