SOLUTION: present value of 29,000 if interest is 9% compounded quarerly for 17 quarters

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Question 296137: present value of 29,000 if interest is 9% compounded quarerly for 17 quarters
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
A=29000(1+.09/4)^17
A=29000*1.45974294
A=$42,332.55

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
present value of 29,000 if interest is 9% compounded quarerly for 17 quarters

Since we're looking for the present value, we use the present value formula, or

P = A%2F%281+%2B+i%2Fm%29%5E%28mt%29, where

P = present value ; A = future value = $29,000

i = interest rate = .09 ; m = periods per year = 4

mt = amount of compounding periods = 17

P = A%2F%281+%2B+i%2Fm%29%5E%28mt%29 -------> P = 29000%2F%281+%2B+.09%2F4%29%5E17

P = 29000%2F%281+%2B+.0225%29%5E17 ------> P = 29000%2F%281.0225%29%5E17

P = 29000%2F1.45974294 -------> P = 19866.51156, or $19,866.51

Therefore, P, or present value of $29,000 at 9% for 17 quarters = $highlight_green%2819+866.51%29