Question

Section 3: Capital Asset Pricing Model and Cost of Capital (32 marks) a. Suppose the risk free rate, FRF is 5%, the return on
purchase of Alpha Corp. stock be a good buy? f. Suppose you are the money manager of a $250 million fund consists of four sto
0% debt, 20% preferred stock and K. A firm has a capital structure containing 40% debt, 20% P 40% common stock equity. The fi
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Answer #1

Solution :- (1)

(a) As per CAPM

Expected Return = Rf + Beta * ( Rm - Rf )

Expected Return = 5% + 1.4 * ( 14% - 5% )   

Expected Return of Stock A = 17.6%

(b) As per CAPM

Expected Return = Rf + Beta * ( Rm - Rf )

17% = 5% + Beta * ( 15% - 5% )   

Beta of Stock M = 12 / 10 = 1.20

(c) As per CAPM

Expected Return = Rf + Beta * ( Rm - Rf )

Expected Return = 6% + 1.6 * ( 7% )   

Expected Return of Stock Delta = 17.2%

(D) Beta is a systemmatic Risk , As risk free asset has no risk so its Beta is Zero

(i)

If 70% in Delta and 30% in Risk free than Return of Portfolio =

= ( Weight of Delta * Return of Delta ) + ( Weight of Risk Free * Return of Risk free )

= ( 0.70 * 17.2% ) + ( 0.30 * 6% )

= 12.04% + 1.80%

= 13.84%

(ii)

If 70% in Delta and 30% in Risk free than Beta of Portfolio =

= ( Weight of Delta * Beta of Delta ) + ( Weight of Risk Free * Beta of Risk free )

= ( 0.70 * 1.6 ) + ( 0.30 * 0)

= 1.12

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