Amy signs a note agreeing to pay Alex $900.00 with 7% compounded annually in two years. However, four months before the note matures, Brian buys the note from Alex discounting at 15% simple interest.
(a) Find the maturity value of the note.
(b) Compute the proceeds of the sale.
Show your detailed work.
a
Future value | FV= | PV × (1+r)^N | |
Where as: | |||
Present value | PV= | 900 | |
Rate of interest | r= | 7.00% | |
Number of years | N= | 2.00 | |
Future value | FV= | 900 × (1+0.07)^2 | |
FV= | 1,030.41 |
Maturity value is 1,030.41
b
Proceeds = 1,030.41/ (1+15%*4/12) = 1016.85
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