Over the next four years, the City of Inditiny, Massachusetts, is expecting the following cash flows from a federal grant: Year 1€”$150,000; Year 2€”$220,000; Year 3€” $250,000; Year 4€”$175,000. The city wants to use the grant as collateral for a loan, but it is unsure about its net present value. What is the net present value of the grant if the rate of return is expected to be 5 percent? What if the rate of return is expected to be 8 percent? Use Exhibit 26€“3 for your solution.
In Exhibits26€“3

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Present Value of $1 Due in n Periods* Number of Periods Discount Rate 1% 1 % 5% 990 .985 980 971 971 956 961942 951.928 942 915 933 901 923 888 914 875 905 862 820742 788 700 699 6% 8% 10% 12% 15% 20% 952 943926 99 893 870 833 907 890 87 82797756 694 864840 794 751 712 658 579 823 792 735 683 636 572 482 784 74768 621 567 497 402 746 705 630 564 507 432 35 711 665 583 513 452376 279 677 627 540 47404327 233 645 592 500 424284 194 614 558 463 386 322 47162 377 312 215 49 104061 026 310 2478 102 066 035 013 173 123 063 032 017 007 001 2 3 4 6 7 10 20 24 36 585