Doreen has preferences represented by the utility function U(x, y) = 10x + 5y. She consumes 10 units of good x and 12 units of g
1 answer:
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Answer:
(a) $43,656.90
(b) $33,698.70
(c) $43,967.70
Explanation:
Future Value of annuity shall be:
(a) 10% for 8 years, Semiannually compounded
In this since the interest is compounded semiannually, the effective interest rate = 10/2 = 5%
Future Value of $1 in 8 years with 10% interest compounded semiannually = 2.0789
Value of $21,000 = $21,000 2.0789 = $43,656.90
(b) 12% for 4 years, Quarterly Compounded
In this since the interest is compounded quarterly, that is 4 times in a year, effective interest rate = 12/4 = 3%
Future value of $1 in 4 years with 12% interest compounded quarterly = 1.6047
Value of $21,000 = $21,000 1.6047 = $33,698.70
(c) 36% 25 months, Monthly
In this since the interest is compounded monthly effective interest rate = 36/12 = 3%
Therefore, Future Value of $1 in 25 months @36% compounded monthly = $2.0937
Value of $21,000 = $21,000 2.0937 = $43,967.70