A young couple wants to have a college fund that will pay $40,000 at the end of each half-year for 8 years. (a) If they can invest at 9%, compounded semiannually, how much do they need to invest at the end of each 6- month period for the next 18 years in order to begin making their college withdrawals 6 months after their last investment? (Round your answer to the nearest cent.) (b) Suppose 8 years after beginning the annuity payments, they receive an inheritance of $35,000 that they contribute to the account, and they continue to make their regular payments as found in part (a). How many college withdrawals will they be able to make before the account balance is $0? (Round your answer to the nearest whole number.) withdrawals

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
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A young couple wants to have a college fund that will pay $40,000 at the end of each half-year for 8 years.
(a) If they can invest at 9%, compounded semiannually, how much do they need to invest at the end of each 6-
month period for the next 18 years in order to begin making their college withdrawals 6 months after their last
investment? (Round your answer to the nearest cent.)
(b) Suppose 8 years after beginning the annuity payments, they receive an inheritance of $35,000 that they
contribute to the account, and they continue to make their regular payments as found in part (a). How many
college withdrawals will they be able to make before the account balance is $0? (Round your answer to the nearest
whole number.)
withdrawals
Transcribed Image Text:A young couple wants to have a college fund that will pay $40,000 at the end of each half-year for 8 years. (a) If they can invest at 9%, compounded semiannually, how much do they need to invest at the end of each 6- month period for the next 18 years in order to begin making their college withdrawals 6 months after their last investment? (Round your answer to the nearest cent.) (b) Suppose 8 years after beginning the annuity payments, they receive an inheritance of $35,000 that they contribute to the account, and they continue to make their regular payments as found in part (a). How many college withdrawals will they be able to make before the account balance is $0? (Round your answer to the nearest whole number.) withdrawals
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