(1) (D) Fund A is invested at an effective annual interest rate of 3%. Fund B is invested at an annual interest rate of 2.5%. At the end of 20 years, the total in the two funds is P 10,00 end of 31 years, the amount in Fund A is twice the amount in Fund B. Calculate the to two funds at the end of 10 years. = Hint: Let A, PA (1.03)' and B₁ = PB(1.025)' be the AV's of Funds A and B at time t res Then use the equations, A20 + B20 = P10,000 and A31 = 2B31 to determine the values PR.

Cornerstones of Financial Accounting
4th Edition
ISBN:9781337690881
Author:Jay Rich, Jeff Jones
Publisher:Jay Rich, Jeff Jones
ChapterA3: Time Value Of Money
Section: Chapter Questions
Problem 12E
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D. Compound Interest
(1) (D) Fund A is invested at an effective annual interest rate of 3%. Fund B is invested at an effective
annual interest rate of 2.5%. At the end of 20 years, the total in the two funds is P 10,000. At the
end of 31 years, the amount in Fund A is twice the amount in Fund B. Calculate the total in the
two funds at the end of 10 years.
=
Hint: Let A, PA (1.03)' and B, PB(1.025)' be the AV's of Funds A and B at time t respectively.
Then use the equations, A20 + B20 = P 10,000 and A31= 2B31 to determine the values of PA and
PB.
Transcribed Image Text:D. Compound Interest (1) (D) Fund A is invested at an effective annual interest rate of 3%. Fund B is invested at an effective annual interest rate of 2.5%. At the end of 20 years, the total in the two funds is P 10,000. At the end of 31 years, the amount in Fund A is twice the amount in Fund B. Calculate the total in the two funds at the end of 10 years. = Hint: Let A, PA (1.03)' and B, PB(1.025)' be the AV's of Funds A and B at time t respectively. Then use the equations, A20 + B20 = P 10,000 and A31= 2B31 to determine the values of PA and PB.
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