In: Finance
2. Suppose the annual return in the stock market is 8%. Suppose company Z has no debt, the risk-free rate is 2% and the beta for Z is 1.15. Managers have proposed a new project whose projected cash are $5 million each year for the next five years. There is no projected residual value. What is the most the firm should invest in this project?
| We have to compute the required rate first using CAPM | ||||||
| required rate = Risk free rate+ (market rate- risk free rate)*Beta | ||||||
| 2%+(8%-2%)*1.15 | ||||||
| 8.90% | ||||||
| the most the firm should invest in this project is the present value of future cash flow | ||||||
| computation of present value | ||||||
| i | ii | iii=i*ii | ||||
| year | Cash flow | PVIF @ 8.9% | present value | |||
| 0 | 0 | 1.0000 | - | |||
| 1 | 5000000 | 0.9183 | 4,591,368 | |||
| 2 | 5000000 | 0.8432 | 4,216,132 | |||
| 3 | 5000000 | 0.7743 | 3,871,563 | |||
| 4 | 5000000 | 0.7110 | 3,555,155 | |||
| 5 | 5000000 | 0.6529 | 3,264,605 | |||
| 19,498,823 | ||||||
| Therefore maximum investment value = | 19,498,823 |