Suppose you take out a 30-year mortgage for $100,000 with annual payments. The interest rate on the mortgage is 8%. When you have paid off half the mortgage, so that the value of the remaining payments is reduced to $50,000, how many more payments need to be made

Approximately 8 more payments need to be made.

Explanation:

Mortgage Amount = $100,000

Interest Rate = 8%

Time = 30 years

Calculating Annual Payment,

Using TVM Calculation,

PMT = [PV = 100000, T = 30, FV = 0, I = 0.08]

PMT = $8,882.74

So,

Annual Payment = $8,882.74

Loan Balance = $50,000

Calculating Time for Repayment,

Using TVM Calculation,

T = [PV = 50,000, PMT = - 8882.74, FV = 0, I = 0.08]

T = ~8 years