John Rider wants to accumulate $45,000 to be used for his daughter’s college edu
ID: 2405315 • Letter: J
Question
John Rider wants to accumulate $45,000 to be used for his daughter’s college education. He would like to have the amount available on December 31, 2023. Assume that the funds will accumulate in a certificate of deposit paying 8% interest compounded annually. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.)
Answer each of the following independent questions.
Required:
1. If John were to deposit a single amount, how much would he have to invest on December 31, 2018?
2. If John were to make five equal deposits on each December 31, beginning on December 31, 2019, what is the required amount of each deposit?
3. If John were to make five equal deposits on each December 31, beginning on December 31, 2018, what is the required amount of each deposit?
(For all requirements, Round your final answers to nearest whole dollar amount.)
Explanation / Answer
Answer 1.
Desired Sum = $45,000
Period = 5 years
Annual Interest Rate = 8%
Initial Deposit = $45,000 * PV of $1 (8%, 5)
Initial Deposit = $45,000 * 0.6806
Initial Deposit = $30,627
Answer 2.
Annual Deposit = $45,000 * PVA of $1 (8%, 5)
Annual Deposit = $45,000 * 3.9927
Annual Deposit = $179,672
Answer 3.
Annual Deposit = $45,000 * PVAD of $1 (8%, 5)
Annual Deposit = $45,000 * 4.3121
Annual Deposit = $194,045
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