Asked by Valerie
I'm trying to solve this problem: What sinking fund payment would be required at the end of each three-month period, at 8% interest compounded quarterly, in order to amount to 20,000. I just need to know how to work the problem correctly.
Answers
Answered by
helper
you didn't give a time limit for the $20,000, so I'll assume 5yrs
FV = PMT * (((1 + i)^n - 1)/i )
x = amt of PMT
i = rate
n = no. of payments
i = .08/4 quarters = .02
n = 4 * 5 yr = 20 payments
20,000 = x *((1 + .02)^20 - 1 )/.02
20,000 = x *(( 1.02 )^20 - 1)/ .02
20,000 = x *(1.48595 - 1)/.02
20,000 = x * (0.48595)/.02
20,000 = 0.48595x/.02
400 = 0.48595x
x = 823.13
PMT = x = $823.13
FV = PMT * (((1 + i)^n - 1)/i )
x = amt of PMT
i = rate
n = no. of payments
i = .08/4 quarters = .02
n = 4 * 5 yr = 20 payments
20,000 = x *((1 + .02)^20 - 1 )/.02
20,000 = x *(( 1.02 )^20 - 1)/ .02
20,000 = x *(1.48595 - 1)/.02
20,000 = x * (0.48595)/.02
20,000 = 0.48595x/.02
400 = 0.48595x
x = 823.13
PMT = x = $823.13
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