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34. What is the value of an annuity that pays $851 at the end of each...

34. What is the value of an annuity that pays $851 at the end of each year in years 5 through 14 at the end of year 14? The discount rate (opportunity cost) is 4.3%. (That is, find the value of this annuity at the end of year 14). Round to the nearest $1, no $ symbol.

Solutions

Expert Solution

Since the payment is mentioned as made at year end, Year 5 payment is considered in year 6 and so on; Hence, for Year 14, the payment is considered in terminal year;

Annual Payments 851
Discounting Factor 4.30%
Period 1 2 3 4 5 6 7 8 9 10 11 12 13 14 Terminal
Payment           851           851           851           851           851           851           851           851           851           851
Discounting factor     1.0000     0.9588     0.9192        0.8813     0.8450     0.8102     0.7768     0.7447     0.7140     0.6846     0.6564     0.6293     0.6034     0.5785     0.5547
Discounted Payments              -                -                -                   -                -             689           661           634           608           583           559           536           513           492           472
PV (Total of Discounted Payments)        5,746
Value of Annuity        5,746

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