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Soloha48 [4]
1 year ago
7

An individual contributes p 200 per month to a retirement account. The account earns interest at a nominal annual rate of 8% wit

h interest being credited monthly. What is the value of the account after 35 years?.
Business
1 answer:
amm18121 year ago
4 0

$449,866.95 is the Future value of the account after 35 yerars.

<h3>What is amount future value?</h3>
  • Future value (FV) is a term used to describe how much, at some future date and with a given interest rate, a sequence of regular payments will be worth.
  • As a result, it will show you how much you will have accumulated as of a future date if you, for instance, plan to invest a set amount each month or year.

The formula to compute the future value is shown below:

Future value = Amount (1+i)^n -1 ÷ i)

where,

Interest rate = 8% ÷ 12 months = 0.6666%

And, the number of months = 35 years × 12 months = 420

Now put this value to the above formula

F = $200 × (1 + 0.6666)^420 - 1 ÷ 0.6666%

After solving this,

Future Value: $449,866.95

N (Number of Periods) 420.000

(Interest Rate) 0.660

PMT (Periodic Deposit) $200.00

Starting Amount $0.00

Total Periodic Deposits $84,000.00

Total Interest $365,866.95

To learn more about  Future value refer,

brainly.com/question/14587551

#SPJ4

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