How they solve for PV & FV ? do this with proper equation so that i can understand properly please !!!

Because most mortgage loans are repaid before they mature, mortgage lenders and real estate investors must be able to determine balances on mortgage loans at any time. To illustrate one approach, let us return to our base case example of the $60,000 fully amortizing loan made at 6 percent interest for a term of 30 years. After 10 years, the borrower decides to sell the property. To do so, the existing loan must be paid off. How much will have to be repaid to the lender after 10 years