the reverse of PV of a series of cashflows

Question

I have calculated the PV of a set of cashflows over a period of 10 years.

Here is the equation: YEAR/CASHFLOW

1. 50,000
2. 51,500
3. 53,045
4. 54,636
5. 56,275
6. 57,964
7. 59,703
8. 61,494
9. 63,339
10. 65,239

PV of the cashflows = $415,940 at a discount rate of 6%

Here's where I get confused:

Now that I know the PV, why then, if I take this amount, $415,940 and I invest it at a rate of 6% pa and each year a negative cashflow, corresponding to the table above, is paid out of the account, why does the figure at the end of year 10, not equal zero? Is that not a reverse of the PV equation?

Answer 1

Using Maple, I get the following . . .