In: Accounting
Turner Video will invest $84,500 in a project. The firm’s cost of capital is 6 percent. The investment will provide the following inflows. Use Appendix A for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Year | Inflow | ||
1 | $ | 28,000 | |
2 | 30,000 | ||
3 | 34,000 | ||
4 | 38,000 | ||
5 | 42,000 | ||
The internal rate of return is 12 percent.
a. If the reinvestment assumption of the net
present value method is used, what will be the total value of the
inflows after five years? (Assume the inflows come at the end of
each year.) (Do not round intermediate calculations and
round your answer to 2 decimal places.)
Total value of inflows: ___________________.
b. If the reinvestment assumption of the internal
rate of return method is used, what will be the total value of the
inflows after five years? (Use the given internal rate of
return. Do not round intermediate calculations and round your
answer to 2 decimal places.)
Total value of inflows: ___________________.
c. Which investment assumption is
better?
Reinvestment assumption of IRR | |
Reinvestment assumption of NPV |
1 | Cost of capital, 6% | |||
Year | Inflow | FV of cash inflow | ||
1 | 28000 | 35349.35488 | 28000*(1.06)^4 | |
2 | 30000 | 35730.48 | 30000*(1.06)^3 | |
3 | 34000 | 38202.4 | 34000*(1.06)^2 | |
4 | 38000 | 40280 | 38000*1.06 | |
5 | 42000 | 42000 | 42000 | |
191562.2349 | ||||
Round | 191562.23 | |||
2 | IRR, 12% | |||
Year | Inflow | FV of cash inflow | ||
1 | 28000 | 44058.54208 | 28000*(1.12)^4 | |
2 | 30000 | 42147.84 | 30000*(1.12)^3 | |
3 | 34000 | 42649.6 | 34000*(1.12)^2 | |
4 | 38000 | 42560 | 38000*1.12 | |
5 | 42000 | 42000 | 42000 | |
213415.9821 | ||||
Round | 213415.98 | |||
3 | Reinvestment assumption is better in NPV assumption since it is not easy to earn internal rate of return double than cost of capital. | |||
3 |
I hope this satisfies the answer. |
In case of doubt, please comment. Also, it would be great in case you give thumbs up. |