Period (n) = 4*5
= 20
Interest Rate (i) =7.75%/4
= 1.9375%
Periodic Payment= $ 250
Present Value of Annuity = Periodic Payment*[{1-(1+i)^(-n)} / i]
=250*[{1-(1+1.9375%)^(-20)}/1.9375%]
= $ 4,112.62
Present Value of Annuity Due = Present Value of Annuity * ( 1+ i)
=4,112.62*(1+1.9375%)
= $ 4,192.30
Hence the correct answer is : A. $ 4,112.62, $ 4,192.30
14. Calculate the present value of an ordinary annuity and an annuity due of a 5...
14. Calculate the present value of an ordinary annuity and an annuity due of a 5 year investment made by contributing $250 on a quarterly basis at an annual rate of 7.75%: Ordinary Annuity Annuity Due A.$4,112.62 $4,192.30 B. $4,368.18 $4,072.89 C. $1,004.79 $1,082.66 D. $8,564.04 $8,264.45
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