Answer:
Maximum price = $ 1,325,000
Explanation:
The maximum price to be paid for the company is the present value of the annual profit discounted at the rate of return on equity.
The return on equity can be calculated using the capital asset pricing model (CAPM)
Under CAPM,
E(r)= Rf + β(Rm-Rf)
E(r)- expected return, Rf-risk-free rate , β= Beta, Rm= Return on market.
Using this model, we can work out the value of beta as follows:
Ke= ?., Rf- 2%, Rm-Rf - 8%
Ke- 2% + 1.5× (8%)= 14 %
Price for the company can now be determined using the present value of the perpetuity formula with growth as follows:
The model is represented below:
P = A ×(1+g)/ ke- g
DATA
A- 100,000
g- 6%
ke- 14%
Price = 100,000× (1.06)/(0.14-0.06)= $ 1,325,000
Maximum price = $ 1,325,000
