In: Economics
A cutting-edge product of Continental Fan had the following net cash flow series during its first 5-year period on the market. Find all rate of return values between 0% and 100%.
Year | Net Cash Flow, $ |
0 | -50,000 |
1 | 36,000 |
2 | 25,000 |
3 | 13,000 |
4 | -2,000 |
5 | 10,000 |
The rate of return is ______%.
Calculate the rate of return of the following cash flows.
Year |
0 |
1 |
2 |
3 |
4 |
5 |
Net Cash Flow, $ |
-50,000 |
36,000 |
25,000 |
13,000 |
-2,000 |
10,000 |
Calculating the rate of return using trial and error method
Let the rate of interest is 30%. Calculate PW at 30%.
PW = -50,000 + 36,000 (P/F, 30%, 1) + 25,000 (P/F, 30%, 2) + 13,000 (P/F, 30%, 3) – 2,000 (P/F, 30%, 4) + 10,000 (P/F, 30%, 5)
PW = -50,000 + 36,000 (0.76923) + 25,000 (0.59172) + 13,000 (0.45517) – 2,000 (0.35013) + 10,000 (0.26933) = 395.53
The PW is positive. Increase the rate of interest to get negative PW. Increase the rate of interest to 31% and calculate PW.
PW = -50,000 + 36,000 (P/F, 31%, 1) + 25,000 (P/F, 31%, 2) + 13,000 (P/F, 31%, 3) – 2,000 (P/F, 31%, 4) + 10,000 (P/F, 31%, 5)
PW = -50,000 + 36,000 (0.76335) + 25,000 (0.58271) + 13,000 (0.44482) – 2,000 (0.33955) + 10,000 (0.25920) = -256.09
Using interpolation
ROR = 30% + [395.53 – 0 ÷ 395.53 – (-256.09)] * 1%
ROR = 30.606%
The rate of return is 30.606%.