You want to evaluate two different investment opportunities:

Delta offers an annual interest rate of $8\%,$ but is compounded monthly. You need to make equal end$-$of$-$month $$1,680$ payments for $10-$years.

Sigma offers an annual interest rate of $10\%,$ compounded annually. You make a lump$-$sum investment now, and hold it for $10$ years.

How much money would you need to invest with Sigma, today, for it to be worth the same amount as Delta$10$ years from now?