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If you invest $14,000 today, how much will you have in each of the following ins

ID: 2611698 • Letter: I

Question

If you invest $14,000 today, how much will you have in each of the following instances? Use Appendix A as an approximate answer, but calculate your final answer using the formula and financial calculator methods.


a. In 10 years at 11 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
  


b. In 20 years at 9 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
  


c. In 20 years at 6 percent? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)
  


d. In 10 years at 6 percent (compounded semiannually)? (Do not round intermediate calculations. Round your final answer to 2 decimal places.)

Explanation / Answer

We use the formula:
A=P(1+r/100)^n
where
A=future value
P=present value
r=rate of interest
n=time period.

1.

A=$14000*(1.11)^10

=$14000*2.839420986

which is equal to

=$39751.89

2.

A=$14000(1.09)^20

=$14000*5.604410768

which is equal to

=$78461.75

3.

A=$14000(1.06)^20

=$14000*3.207135472

=$44899.90

4.

We use the formula:
A=P(1+r/200)^2n
where
A=future value
P=present value
r=rate of interest
n=time period.

A=$14000(1+6/200)^(2*10)

=$14000*1.806111235

which is equal to

=$25285.56(Approx).

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