Question

In: Finance

Derek can deposit $11,000 on each birthday beginning with his 26th and ending with his 65th....

Derek can deposit $11,000 on each birthday beginning with his 26th and ending with his 65th. What will the rate on the retirement account need to be for him to have $3,000,000 in it when he retires on his 65th birthday?

Hello can I please get help on this homework question? Can you please solve using a financial calculator? Thank you!

Answer format: Percentage Round to: 4 decimal places (Example: 9.2434%, % sign required. Will accept decimal format rounded to 6 decimal places (ex: 0.092434))

Solutions

Expert Solution

Information provided:

Future value= $3,000,000

Annual deposit = $11,000

Time= 65 years - 26  years = 39  years

The question is solved by computing the yield to maturity.

The yield to maturity is calculated by entering the below in a financial calculator:

FV= 3,000,000

N= 39

PMT= -11,000

Press the CPT key and I/Y to compute the yield to maturity.

The value obtained is 8.5161.

Therefore, the yield to maturity is 8.5161%.


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