In: Accounting
Top Notch Limited has $750,000 to invest and is trying to decide
between two alternative uses of the funds. The alternatives are as
follows:
A | B | |||
Cost of equipment required | $ | 750,000 | $ | 0 |
Working capital investment required | $ | 0 | $ | 750,000 |
Annual cash inflows | $ | 210,000 | $ | 150,000 |
Salvage value of equipment in seven years | $ | 50,000 | $ | 0 |
Life of the project | 7 years | 7 years | ||
The working capital needed for Project B will be released for
investment elsewhere at the end of seven years. Top Notch uses a
20% discount rate.
Required:
a. Calculate net present value for each project.
(Hint: Use Microsoft Excel to calculate the discount
factor(s).) (Negative answers should be indicated by a
minus sign. Do not round intermediate calculations. Round the final
answer to the nearest whole dollar. Do not leave
any empty spaces; input a 0 wherever it is
required.)
** Please show the formulas on how to calculate each number in steps **
Calculation of Net Present Value: | ||||||
Year | Particulars | PVF(20%) | A | B | ||
Cash Flow | PV of CF | Cash Flow | PV of CF | |||
0 | Investment / Working Capital Investment | 1 | ($750,000) | ($750,000) | ($750,000) | ($750,000) |
1 to 7 | Annual Cash Inflows | 3.604591764 | $210,000 | $756,964 | $150,000 | $540,689 |
7 | Salvage Value / Release of Working Capital | 0.279081647 | $50,000 | $13,954 | $750,000 | $209,311 |
Net Present Value | $20,918 | $0 | ||||
Year | PVF(20%) | |||||
1 | 0.833333333 | |||||
2 | 0.694444444 | |||||
3 | 0.578703704 | |||||
4 | 0.482253086 | |||||
5 | 0.401877572 | |||||
6 | 0.334897977 | |||||
7 | 0.279081647 | |||||
3.604591764 |
Formulae used in the above calculations have been presented below for your reference: