How much do you have to deposit today in order to allow 5 annual withdrawals, beginning at the end of year 8, with the first withdrawal of $1000, with subsequent withdrawals decreasing at the rate of 5% over the previous year's withdrawal? The interest rate is 10%.
Enter your answer as follows: 123456. Do not use $ or the square root symbol.
Hint:
Draw a cash flow diagram.
- Try to solve this problem in two parts.
- Is this a linear gradient or a geometric gradient?
- If this is a linear gradient, remember that the equation applies to increasing gradient only.
- If this is a geometric gradient, then the equation applies for both increasing and decreasing gradient. When using it for decreasing gradient, remember to set the g to a negative value.
- Remember that the P always occurs one time period before the first repeated cash flow, either A or G.