You are considering an investment in software company. The beta of software companies is 1.5. The annual risk-free rate is 2% and the annual market premium is 8%. The expected annual profit from the software subscription is $100,000 and it is expected to grow at the rate of 6% per year. What is the maximum price you are willing to pay for the company? A. $1,370,925.78 B. $1,250,000.00 C. $1,123,221.12 D. $908,153.55

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  

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