A partially amortizing loan for $100,000 for 10 years is made at 9 percent interest. The lender and borrower agree that payments will be monthly and that a balance of $20,000 will remain and be repaid at the end of year 10.

Required:

a. Assuming 3 points are charged by the lender, what will be the yield if the loan is repaid at the end of year 10?

b. What must the loan balance be if it is repaid after year 4?

c. What will be the yield to the lender if the loan is repaid at the end of year 4?