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Derek plans to retire on his 65th birthday. However, he plans to work part-time until he...

Derek plans to retire on his 65th birthday. However, he plans to work part-time until he turns 73.00. During these years of part-time work, he will neither make deposits to nor take withdrawals from his retirement account. Exactly one year after the day he turns 73.0 when he fully retires, he will wants to have $2,887,037.00 in his retirement account. He he will make contributions to his retirement account from his 26th birthday to his 65th birthday. To reach his goal, what must the contributions be? Assume a 5.00% interest rate.

If Derek plans to deposit $13,878.00 into his retirement account on each birthday beginning with his 26th and the account earns 12.00%, how long will it take him to accumulate $3,303,411.00?

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Answer #1
Account value on retirement 2887037
Retirement age 73
Interest rate 5%
Value at age 65 1954060.28 2887037/1.05^8
No. of deposits 40 65-26+1
Contribution amount $16,176.02 PMT(5%,40,0,1954060,)
Time to accumulate
FV 3303411
Rate of interest 12%
PMT 13878
Periods 29.88 NPER(12%,-13878,0,3303411,)
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