In: Finance
if you want to have 160384 in 9 years how much money should you put in a savings account today? assume that the savings account pays you 5.2% and is compounded annually.
| We have to calculate in this Present value of $ 160,384 | |||||
| with effective interest rate of 5.2% compounded annully | |||||
| So first we can calculatet the present value of $ 1 today @ 5.2% in 9 Years | |||||
| Year | PVF @ 5.2% | ||||
| 1 | 0.95057 | ||||
| 2 | 0.90358 | ||||
| 3 | 0.85892 | ||||
| 4 | 0.81646 | ||||
| 5 | 0.77611 | ||||
| 6 | 0.73774 | ||||
| 7 | 0.70128 | ||||
| 8 | 0.66661 | ||||
| 9 | 0.63366 | Not Rounded | |||
| Amount required in 9 years @ 5.2% = | 1,60,384.000 | ||||
| Multiply with PVF in 9th year = | 0.63366 | ||||
| Present value = | 1,01,629.40 | (Rounded to 2 decimal) | |||
| Answer = Amount put in saving account Today = $ 101,629.40 | |||||