In: Finance
Fox Co. has identified an investment project with the following cash flows. |
Year | Cash Flow | |||
1 | $ | 1,230 | ||
2 | 1,150 | |||
3 | 1,560 | |||
4 | 1,920 | |||
a. |
If the discount rate is 11 percent, what is the present value of these cash flows? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
b. | What is the present value at 16 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
c. | What is the present value at 22 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) |
a. Present value at 11%? b. Present value at 16%? c. Present value at 22%? Please also show one answer on a financial calculator if possible. |
a )Present value = sum of cash flows discounted @ discount rate
Present value = 1230 / 1.1 + 1150 / 1.1^2 + 1560 / 1.1^3 + 1920 / 1.1^4
Cash flows | Discounting Factor @11% [1/( 1+r)^n] | Present value |
1230 | 0.900900901 | 1108.108108 |
1150 | 0.811622433 | 933.3657982 |
1560 | 0.731191381 | 1140.658555 |
1920 | 0.658730974 | 1264.763470 |
Total Present value | 4446.895932 |
Present value = $ 4,446.90
b)
Cash flows | Discounting Factor @11% [1/( 1+r)^n] | Present value |
1230 | 0.862068966 | 1060.344828 |
1150 | 0.743162901 | 854.6373365 |
1560 | 0.640657674 | 999.4259707 |
1920 | 0.552291098 | 1060.398908 |
Total Present value | 3974.807043 |
Total Present value = $3,974.81
c)
Cash flows | Discounting Factor @11% [1/( 1+r)^n] | Present value |
1230 | 0.819672131 | 1008.196721 |
1150 | 0.671862403 | 772.641763 |
1560 | 0.550706887 | 859.1027443 |
1920 | 0.451399088 | 866.686249 |
Total Present value | 3506.627478 |
Total Present value = $3,506.63