At age 30 you deposit $150 at the end of each month into an IRA that pays 4% interest compounded monthly. In the previous question, we found that the value of the annuity at age 65 would be $137,059.64. How much interest did you earn?



Answer :

According to the given statement the interest that we earn is

=  $74,059 . 64

What Is an Annuity's Present Value?

The present value of an annuity seems to be the current worth of future annuity payments based on a predetermined rate of return, as well as discount rate. The higher the discount rate, the smaller the annuity's present value.

According to the given data:

monthly payment is 150

at the age = 30

interest rate = 4

till age of = 65

At age 65, the annuity would be worth $137,059.64.

We only need to determine the amount of interest. = ?

 for monthly payments, we need to take n, which equals 12 points now total interest. determined by future value. Substitute minus p m t multiplied by n multiplied by t for all values now.

the amount of interest   =  deposited amount x year x no of year invested

                                       = 150 x 12x(65-30)

           present value     = 63000

At age 65, the annuity would be worth $137,059.64.

We know that the interest is  = balance - capital

                                                 = 137,059.64 - 63000

                                                 = $74,059 . 64

According to the given statement the interest that we earn is

=  $74,059 . 64

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