A small company purchased now for $27,255 will lose $995 each year for the first 4 years. An additional $6,333 invested in the company during the fourth year will result in a profit of $8,768 each year from the fifth to the fifteenth year. At the end of 15 years, the company can be sold for $32,348. Calculate the ERR when є = 13%. Express your answer in percent rounded to two decimal places.
STEP BY STEP SOLUTION PLS (NO P/A)
calculate the ERR when external reinvestment rate per period is 13%
Year | Cash Inflow(A) | Cash outflow (B) | Present Value Factor(C) | Present value of cash outflow (B*C) | Future Value Factor(D) | Future value of cash outflow(A*D) |
0 | 27,225 | 1 | 27225 | |||
1 | 995 | 0.884956 | 880.5309 | |||
2 | 995 | 0.783147 | 779.2309 | |||
3 | 995 | 0.69305 | 689.5848 | |||
4 | 995 | 0.613319 | 610.2521 | |||
5 | 8768 | 3.39456 | 29763.5 | |||
6 | 8768 | 3.00404 | 26339.42 | |||
7 | 8768 | 2.658444 | 23309.24 | |||
8 | 8768 | 2.3526 | 20627.6 | |||
9 | 8768 | 2.08195 | 18254.54 | |||
10 | 8768 | 1.842435 | 16154.47 | |||
11 | 8768 | 1.63047 | 14295.96 | |||
12 | 8768 | 1.442897 | 12651.32 | |||
13 | 8768 | 1.2769 | 11195.86 | |||
14 | 8768 | 1.12 | 9820.16 | |||
15 | 32348 | 32348 | ||||
Total | 1,20,028 | 31,205 | 30,185 | 2,14,760 | ||
((214760/30185)^1/15)-1=13.96051% | ||||||
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