Instruction: Clearly present the cash flow diagram(s), equivalency model(s), assumptions made and detailed calculations for each problem as applicable.
Question. A series of six real dollar payments are made. The first payment made at the end of the first year is for $12,000 and each subsequent payment increases at the rate of 5% per year. If the inflation rate has averaged 3% and the market interest rate is 12%, determine the present of the series.
Answers –
The interest rate in real terms so that real interest rate is 12 - 3 = 9%. We have first payment at the end of first year so there is no interest charged. Find the present value of each annual payment using A/ (1 + r) ^n. In the end, add all the values to get the present worth PW |
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Time |
The Cash flows |
The Present value |
||
0 |
-12000 |
-12000 |
||
1 |
-12600 |
-13734 |
||
-2 |
-13230 |
-15718.6 |
||
3 |
-13891.5 |
-17989.9 |
||
4 |
-14586.1 |
-20589.4 |
||
5 |
-15315.4 |
-23564.6 |
||
6 |
-16081.1 |
-26969.7 |
||
PW |
-130566 |
|||
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