a) formula for CAPM
Ra=Rrf+Ba(Rm-Rrf)
Here beta = 4
risk free rate is = 5%
market rate is = 10%
Cost of capital will be = 5% +(10-5)% x 4 = 25%
b) firstly we have to find out the profits or losses form each old and new machinery:
old machinery profits = (50-30) *1000 = 20000
New plant = (45-20) * 1500 = 37500
present value of potential losses = (37500-20000)/0.25 = $70,000
note:
formula for present value for perpetutiy =cash flows/ discount rate or cost of capital
c) Worth of new plant to another comapny = cash flows / discount rate = 37500 / 0.25 = $150,000
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