You are looking at purchasing a lemonade stand from your best

friend. Your analysis shows that the stand will generate the following

cash flows in each of the following years:

Year $1$: $$0$

Year $2$: $$1000$

Year $3$: $$0$

Year $4$: $$2000$

Year $5$: $$1500$

If you require a $13\%$ rate of return on your investment in the lemonade

stand, what would be a fair price to pay for the stand?

To nearest $$0\mathrm{.}01$