Chapter 15

Suppose you have taken out a $400,000 fully amortizing fixed-rate mortgage loan that has a term of 15 years and an interest rate of 3.75%. In month 1 of the mortgage, how much of the monthly mortgage payment does the interest portion consist of?

$1,250.00

You have taken out a $225,000, 3/1 ARM. The initial rate of 5.8% (annual) is locked in for three years and is expected to increase to 6.5% at the end of the lock period. Calculate the initial payment on the loan. (Note: the term on this 3/1 ARM is 30 years.)

$1,320.19

You have taken out a $300,000, one-year ARM. The teaser rate in the first year is 5.5% (annual). The index interest rate after the first year is 4.00% and the margin is 2.25%. (Note: The term on this ARM is 30 years.) There is also a periodic (annual) rate cap of 1.00%. Given this information, determine the monthly mortgage payment you would be scheduled to make in month 13 of the mortgage loan's term.

$1,843.88

Suppose you have taken out a $125,000 fully amortizing fixed rate mortgage loan that has a term of 15 years and an interest rate of 6%. After your first mortgage payment, how much of the original loan balance is remaining?

$124,570.18

Given the following information on a fixed-rate fully amortizing loan, determine the maximum amount that the lender will be willing to provide to the borrower: loan term: 30 years; monthly payment: $800; interest rate: 6%.

$133,433

Suppose a potential home buyer is interested in taking a $500,000 mortgage loan that has a term of 30 years and a fixed mortgage rate of 5.25%. What is the monthly mortgage payment that the homeowner would need to make if this loan is fully amortizing?

$2,761.02

Assume you have taken out a partially amortizing loan for $325,000 that has a term of 7 years but amortizes over 30 years. Calculate the balloon payment at maturity (year 7) if the interest rate on this loan is 4.5%.

$282,835.42

You have taken out a $350,000, 3/1 ARM. The initial rate of 6.0% (annual) is locked in for three years. Calculate the outstanding balance on the loan after three years. The interest rate after the initial lock period is 6.5%. (Note: the term on this 3/1 ARM is 30 years.)

$336,294.25

Let's assume that you have just taken out a mortgage loan for $200,000 with an origination fee of 2 points due up-front. The mortgage term is 30 years and the mortgage rate is fixed at 4%. What is the cost of the origination fee in dollar terms?

$4000.00

You have taken out a $100,000, one-year ARM. The teaser rate in the first year is 4.5% (annual). The index interest rate after the first year is 3.25% and the margin is 2.75%. (Note: The term on this ARM is 30 years.) There is also a periodic (annual) rate cap of 1.00%. Given this information, determine the monthly mortgage payment you would be scheduled to make in month 1 of the mortgage loan's term.

$506.69

You have taken out a $350,000, 3/1 ARM. The initial rate of 6.0% (annual) is locked in for three years. Determine the owner's equity in the property after three years if the market value of the property at the end of year 3 is $400,000. The interest rate after the initial lock period is 6.5%. (Note: The term on this 3/1 ARM is 30 years.)

$63,705.75

Suppose you have taken out a $200,000 fully amortizing fixed-rate mortgage loan that has a term of 15 years and an interest rate of 4.25%. In month 2 of the mortgage, how much of the monthly mortgage payment does the principal repayment portion consist of?

$705.51

Given the following information on a 30-year fixed-payment fully amortizing loan, determine the owner's equity in the property after seven years if the market value of the property is $240,000 at the end of year 7: rate: 7%; monthly payment: $1,200.

$75,598.25

Assume you have taken out a partially amortizing loan for $1,000,000 that has a term of seven years but amortizes over 20 years. Calculate the balloon payment if the interest rate on this loan is 9%.

$825,679

While a variety of loan terms are available in a lender's mortgage menu, the most common loan term on a level-payment mortgage is

30 years

Given the following information, calculate the effective borrowing cost (EBC): loan amount: $175,000; term: 30 years; interest rate: 7%; payment: $1,164.28; discount points: 1 point; origination fee: $3,250. Assume the loan is held until the end of year 10.

7.4%

Given the following information about a fully amortizing loan, calculate the lender's yield (rounded to the nearest tenth of a percent): loan amount: $166,950; term: 30 years; interest rate: 8%; monthly payment: $1,225.00; discount points:

8.2 %

Required by the Truth-in-Lending Act, the annual percentage rate (APR) is reported by the lender to the borrower on virtually all U.S. home mortgage loans. The APR accounts for all of the following except

Any prepayment of principal to be made on the loan.

When lenders charge discount points (prepaid interest) on a loan, what impact does this have on the loan's yield?

The yield on the loan will increase.

For the purposes of estimating the effective borrowing cost (EBC), only those up-front expenses associated with obtaining the mortgage should be included, not the settlement costs associated with obtaining ownership of the property. With this in mind, which of the following costs should not be included in one's calculation of EBC?

buyer's title insurance

The monthly mortgage payment divided by the loan amount is commonly referred to as the

monthly loan constant.