What is the present value of an ordinary annuity paying
$1 comma 7501,750
each year for
1515
years, with an interest rate of
7.37.3
percent compounded annually? (Round to the nearest dollar.)
A.
$15 comma 64115,641
B.
$14 comma 41114,411
C.
$20 comma 45420,454
D.
$18 comma 122
A.
$15 comma 64115,641
Present value of ordinary annuity | = | Annuity*Present value of annuity of 1 | |||||||||
= | $ 1,750 | * | 8.937815 | ||||||||
= | $ 15,641 | ||||||||||
Working: | |||||||||||
Present value of annuity of 1 | = | (1-(1+i)^-n)/i | Where, | ||||||||
= | (1-(1+0.073)^-15)/0.073 | i | 7.30% | ||||||||
= | 8.93781508 | n | 15 | ||||||||
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