Question

Future Value of Annuity. Twins Jessica andJoshua, both 25, graduated from college andbegan working in the family restaurant business.The first year, Jessica began putting $2,000 peryear in an individual retirement account andcontributed to it for a total of ten years. After tenyears, she made no further contributions untilshe retired at age 65. Joshua did not start makingcontributions to his individual retirement accountuntil he was 35, but he continued making contributions of $2,000 each year until he retired at age 65.Assuming that both Jessica and Joshua receive10% interest per year, how much will Jessica haveat retirement

Answer 1

Answer:

Jessica will have $611,816.70 at retirement.

Explanation:

a) Data and Calculations:

Jessica:

Annual contribution in IRA for 10 years = $2,000

Retirement age = 65 years

Interest rate per year = 10%

Annuity value for investing $2,000 annually is $35,062.33

FV (Future Value) $35,062.33

PV (Present Value) $13,518.05

N (Number of Periods) 10.000

I/Y (Interest Rate) 10.000%

PMT (Periodic Payment) $2,000.00

Starting Investment $0.00

Total Principal $20,000.00

Total Interest $15,062.33

Amount received after investing $35,062.33 for 30 years.

Using an online finance calculator:

FV (Future Value) $611,816.70

PV (Present Value) $35,062.33

N (Number of Periods) 30.000

I/Y (Interest Rate) 10.000%

PMT (Periodic Payment) $0.00

Starting Investment $35,062.33

Total Principal $35,062.33

Total Interest $576,754.37