45 year old deposits 1000 at the end of every 6 months into

45 year old deposits 1000 at the end of every 6 months into an IRA. If the account earns 6.45% compounded semi annually how much will there be 22 years later?
45 year old deposits 1000 at the end of every 6 months into an IRA. If the account earns 6.45% compounded semi annually how much will there be 22 years later?

Solution

Amount = $1,000 * (((1+r)^n) - 1)/r * ((1+r)^n)

Where r = 6.45%/2 = 3.225%, n = 22yrs*2 = 44

Amount = $1,000*(((1+3.225%)^44) - 1) / 3.225%*((1+3.225%)^44)

=$381,139.15

45 year old deposits 1000 at the end of every 6 months into an IRA. If the account earns 6.45% compounded semi annually how much will there be 22 years later? 4

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