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vekshin1
1 year ago
12

Roger Fox made deposits of $900 semiannually to Reed Bank at the end of each period, which pays 6% interest compounded semiannua

lly. After seven years Roger made no more deposits. What will be the balance in the account eight years after the last deposit?
Business
1 answer:
Molodets [167]1 year ago
6 0

The balance in the account eight years after the last deposit is $24,676.68

What is an ordinary annuity?

Ordinary annuity means a fixed amount that would be paid over a period of time, with payments being made at the end of each period.

Like in this scenario, the $900 would be deposited every six months into the Reed Bank account for 7 years, in essence, our first task is to determine the balance in the account as at the time of last deposit in 7 years using the future value formula of an ordinary annuity as shown below:

FV=annuity payment*(1+r)^N-1/r

annuity payment=$900

r=semiannual interest rate=6%/2=0.03

N=number of semiannual payments in 7 years=7*2=14

FV=$900*(1+0.03)^14-1/0.03

FV=$900*(1.03)^14-1/0.03

FV=$900*(1.51258972485511-1)/0.03

FV=$900*0.51258972485511/0.03

FV=$15,377.69

The balance in the account eight years after the last deposit can be computed using the future value formula of a single cash of $15,377.69

FV=PV*(1+r)^N

PV=balance at the time of last deposit=$15,377.69

r=semiannual interest rate=6%/2=0.03

N=number of semiannual periods in 8 years=8*2=16

FV=$15,377.69*(1+0.03)^16

FV=$24,676.68

Find out more about the future value of an ordinary annuity on:brainly.com/question/5303391

#SPJ1

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