Question

In: Finance

if you want to have 160384 in 9 years how much money should you put in...

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.

Solutions

Expert Solution

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

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