In: Finance
You want to be able to withdraw $45000 each year for 15 years. Your account earns 4% interest. How much do you need in your account at the beginning?
| Present Value Of An Annuity |
| = C*[1-(1+i)^-n]/i] |
| Where, |
| C= Cash Flow per period |
| i = interest rate per period |
| n=number of period |
| = $45000[ 1-(1+0.04)^-15 /0.04] |
| = $45000[ 1-(1.04)^-15 /0.04] |
| = $45000[ (0.4447) ] /0.04 |
| = $5,00,327.43 |