You are planning to make an investment in a fund that has 5 years to maturity and just made a dividend payment of $10 per share. Future payments are expected to increase at a rate of 8% per year over the next 5 years, which is your expected holding period for the investment. If your required rate of return is 11% p.a., how much would you be willing to pay for each share of the fund in which you intend to invest?
Fund | ||||||
Discount rate | 0.11 | |||||
Year | 0 | 1 | 2 | 3 | 4 | 5 |
Cash flow stream | 0 | 10.8 | 11.664 | 12.59712 | 13.60489 | 14.69328 |
Discounting factor | 1 | 1.11 | 1.2321 | 1.367631 | 1.5180704 | 1.685058 |
Discounted cash flows project | 0 | 9.72973 | 9.466764 | 9.210906 | 8.9619622 | 8.719747 |
NPV = Sum of discounted cash flows | ||||||
NPV Fund = | 46.09 | |||||
Where | ||||||
Discounting factor = | (1 + discount rate)^(Corresponding period in years) | |||||
Discounted Cashflow= | Cash flow stream/discounting factor | |||||
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