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You have your choice of two investment accounts. Investment A is a 14-year annuity that features...

You have your choice of two investment accounts. Investment A is a 14-year annuity that features end-of-month $1,200 payments and has a rate of 6.9 percent compounded monthly. Investment B is a lump-sum investment with an interest rate of 6.4 percent compounded continuously, also good for 14 years.

    

How much money would you need to invest in B today for it to be worth as much as Investment A 14 years from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

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Answer #1

rate positively ..

First we have to compute the future value of investment A
Put in calculator -
PV 0
PMT -1200
I 6.9%/12 0.5750%
N 14*12 168
compute FV $338,119.24
Now we have to compute the present value to get the required investment
FV $338,119.24
PMT 0
I 0.5750%
N 168
compute PV ($129,045.53)
Ans = $129,045.53
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