in one year, you will make an initial deposit in the amount of $1,000 in a...

in one year, you will make an initial deposit in the amount of $1,000 in a new savings account. You plan to make additional deposits in the same amount of $1,000 for 19 years after the initial deposit. There will only be these 20 deposits and no withdrawals made to your account. Assume the interest rate you will earn is 5% per year. How much will your account be worth in 20 years?

Solutions

Expert Solution

Future value of Annuity = P*[(1+R)^N -1]/R

Where, P = principal

R = rate of interest

N = number of periods

= 1000 * [(1+5%)^20 -1]/5%

= 1000 * [(1.05)^20 -1]/0.05

= 1000 * [( 2.65329770514 -1)]/0.05

= 1000 * (1.65329770514/0.05)

= 1000 * 33.0659541028

= 33065.9541028

Future value of Annuity = $33065.9541

jeff jeffy answered 2 years ago

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