Find the amount needed to deposit into an account today that will yield pension payments of $30,000 at the end of each of the next 29 years if the account earns interest at a rate of 6.9%/yr compounded annually. (Round your answer to the nearest cent.)
$_____
Amount needed to deposit today | = | Annual Cash flows * Present value of annuity of 1 | ||||||
= | $ 30,000 | * | 12.39962 | |||||
= | $ 3,71,988.53 | |||||||
Working: | ||||||||
Present value of annuity of 1 | = | (1-(1+i)^-n)/i | Where, | |||||
= | (1-(1+0.069)^-29)/0.069 | i | 0.069 | |||||
= | 12.39962 | n | 29 | |||||
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