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