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A self-employed person deposits $2,000 annually in a retirement account (called a Keogh or H.R. 10 plan) that earns 8 percent. Use Appendix A and Appendix C to answer the questions. Round your answers to the nearest dollar. How much will be in the account when the individual retires at the age of 65 if the savings program starts when the person is age 40

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Answer:

$146,212.00  

Explanation:

PMT which is the annual savings is $2000

Rate  is 8%

The annual savings would last for 25 years(65-40)

FVIFA FACTOR=(1+r)^n-1/r

r=8%

n=25

FVIFA FACTOR=(1+8%)^25-1/8%

FVIFA FACTOR=(1.08)^25-1/0.08

FVIFA FACTOR=(6.848475196-1)/0.08=73.106

Amount in the account at retirement=PMT*FVIFA FACTOR

Amount in the account at retirement=$2000*73.106=$146,212.00  

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