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10 [EXCEL] Average accounting rate of return (ARR): Capitol Corp. management is expecting a project to generate after-tax income of $63,435 in each of the next three years. The average book value of the project's equipment over that period will be $212,500. If the firm's investment decision on any project is based on an ARR of 37.5 percent, should this project be accepted?
11 [EXCEL] Internal rate of return: Refer to Problem 4. What is the IRR that Franklin Mints management can expect on this project? (PROBLEM 4 AND ANSWER BELOW)
Problem 4: Net present value: Management of Franklin Mints, a confectioner, is considering purchasing a new jelly bean-making machine at a cost of $312,500. They project that the cash flows from this investment will be $121,450 for the next seven years. If the appropriate discount rate is 14 percent, what is the NPV for the project?
(PROBLEM 4 SOLVED)
#4 | |||
Year | Cash flow | PVF@14% | Present value |
0 | $-3,12,500 | 1 | $(3,12,500) |
1 | $1,24,000 | 0.877 | $1,08,772 |
2 | $1,24,000 | 0.769 | $95,414 |
3 | $1,24,000 | 0.675 | $83,696 |
4 | $1,24,000 | 0.592 | $73,418 |
5 | $1,24,000 | 0.519 | $64,402 |
6 | $1,24,000 | 0.456 | $56,493 |
7 | $1,24,000 | 0.4 | $49,555 |
Net Present Value | $2,19,250 |
Question 10:
Average Accounting Rate of Return (ARR)= (Average profit/Average investment)
Given, Average after tax income= $63,435 and average book value of equipment= $212,500
Therefore, Expected ARR= ($63,435/$212,500)*100 = 29.8518%
Also given, minimum acceptable ARR= 37.5%
Since the expected ARR is less than the minimum required , this project shall not be accepted.
Question 11:
Given, cost of machine= $312,500
Yearly cash flows= $121,450 for seven years. Discount rate=14%
NPV= PV of cash flows – Cost = $121,450*PVA (14%,7) - $312,500
=$312,500 - $121,450*4.288305 = $520,814.62 -$312,500 = $208,314.62
(Note: the numbers reported in the solved question #4 given as part of question #11 are different from the narration of that problem. Hence this question #11 is solved using the numbers in the narration of question #4)
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