In: Finance
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.
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 |