a$.$ What will monthly payments be if

$(1)$ The loan is fully amortizing?

$(2)$ It is partially amortizing and a balloon payment of $$50,000$ is scheduled at the end of year $20?$

$(3)$ It is a non$-$amortizing, or "interest$-$only" loan?

$(4)$ It is a negative amortizing loan and the loan balance will be $$150,000$ at the end of year $20?$

b$.$ What will the loan balance be at the end of year $5$ under parts a $(1)$ through a $(4)?$

c$.$ Assume that the lender charges $3$ points to close the loans in parts a $(1)$ through a $(4).$ What would be the APR for each?

d$.$ Assuming that $3$ points are paid at closing and the $20-$year loan is prepaid at the end of year $5,$ what will be the effective rate of

interest for each loan in parts a $(1)$ through a $(4)?$

e$.$ Assume the loan is fully amortizing except that payments will be "interest only" for the first three years $(36$ months$).$ If the loan is

to fully amortize over the remaining $17$ years, what must the monthly payments be from year $4$ through year $20?$

Complete this question by entering your answers in the tabs below.

Assume that the lender charges $3$ points to close the loans in parts a $(1)$ through a $(4).$ What would be the APR for each?

Note: Do not round intermediate calculations. Round your final answers to $2$ decimal places.