In: Finance
Consider that you are 40 years old and have just changed to a new job. You have $141,000 in the retirement plan from your former employer. You can roll that money into the retirement plan of the new employer. You will also contribute $6,300 each year into your new employer’s plan. |
If the rolled-over money and the new contributions both earn an 7 percent return, how much should you expect to have when you retire in 25 years? (Do not round intermediate calculations and round your final answer to 2 decimal places.) |
Value of investments in 25 Years | $ 11,63,736.94 |
Working:
Step-1:Calculation of Future Value of $ 141,000 | ||||||||||||
Future Value of Present Value | = | Present Value x Fuure Value of 1 | ||||||||||
= | $ 1,41,000 | x | 5.42743 | |||||||||
= | $ 7,65,268.00 | |||||||||||
Workking: | ||||||||||||
Future Value of 1 | = | (1+i)^n | Where, | |||||||||
= | (1+0.07)^25 | i | 7% | |||||||||
= | 5.42743 | n | 25 | |||||||||
Step-2:Calculation of future value of annual contribution | ||||||||||||
Future Value of annual contribution | = | Annual contribution x future value of annuity of 1 | ||||||||||
= | $ 6,300 | x | 63.24904 | |||||||||
= | $ 3,98,468.94 | |||||||||||
Working: | ||||||||||||
Future Value of annuity of 1 | = | (((1+i)^n)-1)/i | Where, | |||||||||
= | (((1+0.07)^25)-1)/0.07 | i | 7% | |||||||||
= | 63.24904 | n | 25 | |||||||||
Step-3:Calculation of future value of total investment | ||||||||||||
Future Value of total Investments | = | $ 7,65,268.00 | + | $ 3,98,468.94 | ||||||||
= | $ 11,63,736.94 | |||||||||||