In: Accounting
Below is a table for the present value of $1 at compound
interest.
Year | 6% | 10% | 12% |
1 | 0.943 | 0.909 | 0.893 |
2 | 0.890 | 0.826 | 0.797 |
3 | 0.840 | 0.751 | 0.712 |
4 | 0.792 | 0.683 | 0.636 |
5 | 0.747 | 0.621 | 0.567 |
Below is a table for the present value of an annuity of $1 at
compound interest.
Year | 6% | 10% | 12% |
1 | 0.943 | 0.909 | 0.893 |
2 | 1.833 | 1.736 | 1.690 |
3 | 2.673 | 2.487 | 2.402 |
4 | 3.465 | 3.170 | 3.037 |
5 | 4.212 | 3.791 | 3.605 |
Using the tables above, if an investment is made now for $20,000
that will generate a cash inflow of $7,000 a year for the next 4
years, what would be the present value of the investment cash
inflows, assuming an earnings rate of 12%?
Present value of the investment cash inflows= $21,266
Year | Net Cash Flow | Present value Discounting factor at 12% | Discounted Cash Flow |
1 | $ 7,000.00 | 0.893 | $ 6,251.00 |
2 | $ 7,000.00 | 0.797 | $ 5,579.00 |
3 | $ 7,000.00 | 0.712 | $ 4,984.00 |
4 | $ 7,000.00 | 0.636 | $ 4,452.00 |
Present value of the investment cash inflows | $ 21,266.00 |
Net present value = $1266