You have just learned that you are a beneficiary in the will of your late Aunt Susan. The executrix of her estate has given you three options as to how you may receive your inheritance. |
Required: | |
1-a. |
Calculate the present value for the following assuming that the money can be invested at 12% percent. (Round discount factor(s) to 3 decimal places, intermediate and final answers to the nearest dollar amount.) |
Present Value | ||
a. | You may receive $68,000 immediately. | $ |
b. | You may receive $91,000 at the end of seven years. | $ |
c. | You may receive $25,000 at the end of each year for seven years (a total of $175,000). | $ |
1-b. | If you can invest money at a 12% return, which option would you prefer? |
1 )
a) Present Value = $ 68000
b) Present Value = Future Value / ( 1 + r )^n
Where ,
Future Value = $ 91000
r = 12%
n = 7 Years
Present value = 91000 ( 1 + .12 )^ 7
Present Value = 91000 * 0.452
Present Value = $ 41132
c) Present Value = 25000 * PVAF ( 12% , 7 years )
Present value = 25000 * 4.564
Present Value = $ 114100
1 - b) Option C Would be preferred as it is better ( higher value ) than others.
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