uppose that in a certain fund, money accumulates at a nominal interest rate of 4% convertible quarterly for the first five years. Afterwards, money grows at an annual effective rate of 3%. (a) Assume that n

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Suppose that in a certain fund, money accumulates at a nominal interest rate of 4% convertible quarterly for the first five years. Afterwards, money grows at an annual effective rate of 3%.

(a) Assume that n < m < 5. Solve for m and n that satisfy the following:

Suppose that in a certain fund, money accumulates at a nominal interest rate of 4% convertible
quarterly for the first five years. Afterwards, money grows at an annual effective rate of 3%.
(a) Assume that n < m < 5. Solve for n and m that satisfy the following:
• The present value of payments of 1000 at t = n and 500 at t = m is 1399.63.
• The accumulated value at t = 5 of payments of 2000 at t = n and 4000 at t = m is
6696.68.
Transcribed Image Text:Suppose that in a certain fund, money accumulates at a nominal interest rate of 4% convertible quarterly for the first five years. Afterwards, money grows at an annual effective rate of 3%. (a) Assume that n < m < 5. Solve for n and m that satisfy the following: • The present value of payments of 1000 at t = n and 500 at t = m is 1399.63. • The accumulated value at t = 5 of payments of 2000 at t = n and 4000 at t = m is 6696.68.
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