To save for retirement, you deposit $719.58 at the end of every month. If you make these payments for the next 46 years while you work, and the interest rate is 12.78%, how much will you have in your retirement account when you go to retire? That is, immeidately after the last payment is made
Answer =
Cash flow =
r =
n =
Balance in retirement account when you go to retire is $ 2,35,17,463.16
Future value of cash flow | = | Monthly cash flow | * | Future value of annuity of 1 | |||||
= | $ 719.58 | * | 32682.207898 | ||||||
= | $ 2,35,17,463.16 | ||||||||
Working: | |||||||||
Future value of annuity of 1 | = | (((1+i)^n)-1)/i | Where, | ||||||
= | (((1+0.010667)^552)-1)/0.010667 | i | = | 12.8%/12 | = | 0.010667 | |||
= | 32682.2079 | n | = | 46*12 | = | 552 |
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