Rainbow bought a new home entertainment system today from Andre$$s Electronics. She will pay $$2,000$ to Andre$$s Electronics today, receive a cash rebate of $$500$ from Andre$$s Electronics in $2$ years, pay $$3,000$ to Andre$$s Electronics in $3$ years, and receive a cash rebate of $$1,000$ from Andre$$s Electronics in $6$ years. If the discount rate is $7\mathrm{.}25$ percent, then what is the present value of the cash flows associated with this transaction? Note: the correct answer is less than zero. Round your answer to the nearest cent.

only answer