Moon$$s friend, lives in Greece and planning on moving to Germany, owns a perpetuity that promises to pay $1,000$ at the end of each year, forever. Moon received an e$-$mail from her friend and she offered to sell Moon all of the payments to be received after the $25$th year for a price of $1,000.$

At an interest rate of $10\%,$ should Moon pay the $1,000$ today to receive payment numbers $26$ and onwards?

A$.$

No$,$ the perpetuity is worth today for $9,077$

B$.$

No$,$ the perpetuity is worth today for $923$

C$.$

Yes.