Colin’s grandparents want to make a gift of $50,000 towards his college education fund in 12 years. How much money would they have to deposit today in an account that accrues interest monthly if the rate quoted by the bank is 6 percent?

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Colin’s grandparents want to make a gift of $50,000 towards his college education fund in 12 years. How much money would they have to deposit today in an account that accrues interest monthly if the rate quoted by the bank is 6 percent?

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Answer : $ 24381.31

Working notes for the above answer is as under

Colin’s grandparents want to make a gift for $ 50,000

Duration = 12 Years so n =12

interest monthly if the rate quoted by the bank is 6 percent

So manothly accumulated

Per year interest rate is 6% so monthly interest Rate is as under

= 6% /12 months

=0.5% per month

Now let us find out the amount deposit today in an account that accrues interest monthly if the rate quoted by the bank is 6 percent

Present Value Formula for a Future Value:

=PV = FV / (1+r/m)mt

Pv = 50,000 / (1 +6/12)6/12*12

   = 50000 / (1+.005)24

   =24381.31

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