A friend who owns a perpetuity that promises to pay $$1,000$ at the end of each year, forever,

comes to you and offers to sell you all of the payments to be received after the ${25}^{th}$ year for a

price of $$1,001.$ At an interest rate of $10\%,$ should you pay the $$1,000$ today to receive payment

numbers $26$ and onwards? What does this suggest to you about the value of perpetual

payments? $(10$ points$)$

Please give the complete process, thank you very much!