Question

Present value of $1 Periods 4% 6% 8% 10% 12% 14% 1 0.962 0.943 0.926 0.909 0.893 0.877 2 0.925 0.890 0.857 0.826 0.797 0.769 3 0.889 0.840 0.794 0.751 0.712 0.675 4 0.855 0.792 0.735 0.683 0.636 0.592 5 0.822 0.747 0.681 0.621 0.567 0.519 6 0.790 0.705 0.630 0.564 0.507 0.456 7 0.760 0.665 0.583 0.513 0.452 0.400 8 0.731 0.627 0.540 0.467 0.404 0.351 9 0.703 0.592 0.500 0.424 0.361 0.308 10 0.676 0.558 0.463 0.386 0.322 0.270 Present value of an Annuity of $1 Periods 4% 6% 8% 10% 12% 14% 1 0.962 0.943 0.926 0.909 0.893 0.877 2 1.886 1.833 1.783 1.736 1.690 1.647 3 2.775 2.673 2.577 2.487 2.402 2.322 4 3.630 3.465 3.312 3.170 3.037 2.914 5 4.452 4.212 3.993 3.791 3.605 3.433 6 5.242 4.917 4.623 4.355 4.111 3.889 7 6.002 5.582 5.206 4.868 4.564 4.288 8 6.733 6.210 5.747 5.335 4.968 4.639 9 7.435 6.802 6.247 5.759 5.328 4.946 10 8.111 7.360 6.710 6.145 5.650 5.216 ​

Jan Rigby is considering an investment that will cost $20,000 initially, and return annual cash flows of $10,000 in each of three years. Jan requires a minimum rate of return of 8%. What is the present value of the cash inflows? (Note: there may be a rounding error depending on the table you use to compute your answer. Choose the answer closest to the one you calculate.) a. $10,000 b. $45,770 c. $25,770 d. $20,000 e. $5,770

Answer 1

Present value of annuity=Annuity[1-(1+interest rate)^-time period]/rate

=10,000[1-(1.08)^-3]/0.08

=10,000*2.577

=$25,770