Chapter 16 Flashcards
A mortgage contract with a face value of $175,000 requires monthly payments of $1,103.21 over a 20-year amortization period. However, the mortgage broker advances only $171,000 after deducting a commission of $2,500, legal fees of $1,000, and an appraisal fee of $500. Calculate the cost of funds advanced for the borrower, expressed as an effective annual rate (j1).
(1) 4.730370%
(2) 4.777233%
(3) 3.972254%
(4) 4.834288%
4
A mortgage loan with a face value of $150,000 is arranged through a mortgage broker. A commission of
$4,000, appraisal fees of $450, as well as survey and legal fees totalling $700 will be deducted from the face value before the funds are advanced to the borrower. Calculate the cost of funds advanced to the borrower, expressed as an effective annual interest rate (j1), if the loan is written at 6.75% per annum, compounded semi-annually, with monthly payments over a 20-year amortization period and a 5-year term?
(1) 7.803344%
(2) 7.537423%
(3) 9.581225%
(4) 8.540452%
1
A mortgage for $200,000 is written at 6% per annum, compounded semi-annually. The mortgage calls for monthly payments rounded up to the next higher dollar, a 5-year term, and a 20-year amortization. The mortgage contract permits the borrower to prepay the full amount of the loan at any time subject to the payment of a three months’ interest penalty. At the time of prepayment, the current comparable interest rate is 4% per annum, compounded semi-annually.
If the borrower wishes to prepay this loan at the end of the first year (with the 12th payment), calculate the amount of the three months’ interest penalty.
(1) $969.01
(2) $15,504.15
(3) $5,687.99
(4) $2,883.28
4
An offer of $235,000 is accepted, comprised of a cash down payment of $85,000 subject to a vendor- supplied mortgage of $150,000 at 4% per annum, compounded semi-annually. The loan has an amortization period of 25 years, a term of 5 years, and calls for monthly payments rounded up to the next higher dollar. Market rates of interest for equivalent mortgages are currently 9% per annum, compounded semi-annually.
The market value of the offer is:
(1) $180,413.23
(2) $122,426.97
(3) $235,000.00
(4) $207,246.79
4
A local mortgage broker arranged a mortgage in the amount of $210,000. The borrower has agreed to pay a brokerage fee in the amount of $7,200 which is to be added to the loan amount, giving a face value of
$217,200 for the loan. The mortgage bears interest at a contract rate of 4.5% per annum, compounded semi- annually. The mortgage has an amortization period and term of 20 years and calls for monthly payments.
If the mortgage is sold to an investor for $225,000 immediately after the loan is initiated, the investor will earn the following nominal interest rate, with semi-annual compounding:
(1) 4.083034%
(2) 4.162285%
(3) 4.018729%
(4) 4.124712%
1
Prepayment in a mortgage refers to:
(1) the right of lenders to demand full repayment of the outstanding principal if the payments fall into arrears.
(2) the right of the borrower to pay off all (or some) of the outstanding balance during the term of the mortgage.
(3) the lender’s right to demand full payment of the outstanding balance at the end of the term of a partially amortized mortgage.
(4) the payment of a finder’s fee to a mortgage broker (as compensation for arranging a mortgage loan) which is made prior to the advancing of mortgage funds.
2
A mortgage contract with a face value of $170,000 requires monthly payments of $1,117.12 over a 20-year period. However, the mortgage broker advances only $166,000 after deducting a commission of $2,500, legal fees of $1,000, and an appraisal fee of $500. Calculate the cost of funds advanced for the borrower, expressed as an effective annual rate (j1).
(1) 6.078157%
(2) 5.234236%
(3) 5.291647%
(4) 5.361651%
4
An offer of $235,000 is accepted, comprised of a cash down payment of $55,000 and a vendor-supplied loan of $180,000 at 4% per annum, compounded semi-annually. The loan has an amortization period of 25 years, a term of 5 years, and calls for monthly payments rounded up to the next higher dollar. Market rates of interest for equivalent mortgages are currently 9% per annum, compounded semi-annually.
The market value of the offer is:
(1) $146,960.00
(2) $235,000.00
(3) $201,690.44
(4) $192,158.00
3
A local mortgage broker has arranged a mortgage in the amount of $240,000. The borrower has agreed to pay a brokerage fee of $5,000 which is to be added to the loan amount, giving a face value of $245,000 for the loan.
The mortgage bears interest at a contract rate of 8% per annum, compounded quarterly. The mortgage has a term and amortization period of 25 years. The loan is to be repaid using monthly payments. The equivalent periodic interest rate, expressed as a rate per month on the funds advanced is:
(1) 0.682361%
(2) 0.821546%
(3) 0.752513%
(4) 0.514235%
1
A loan contract was written for a face value of $50,000 at j2 = 10.75% with a 20-year amortization and a 5-year term. Payments were to be made monthly in the amount of $499.76 and the outstanding balance at the end of the term was $45,167.50. A brokerage fee of $2,000 was deducted from the face value, so the funds actually advanced to the borrower were $48,000. What is the effective annual rate of interest on the funds advanced?
(1) 12.257094%
(2) 11.038905%
(3) 11.618034%
(4) 10.516863%
1
Mary Smith has offered to purchase a house from a seller who is willing to provide partial financing. Her offer is a $75,000 down payment plus a mortgage of $125,000 at 4% per annum, compounded semi- annually. The loan is to be fully amortized with monthly payments of $755.31 over 20 years. If the market rate for similar mortgage loans is 7.5% per annum, compounded semi-annually, what is the market value of this offer, rounded to the nearest dollar?
(1) $169,579
(2) $108,618
(3) $94,579
(4) $183,618
1
Steve Johnson purchased a home two years ago, at which time he arranged for a mortgage in the amount of
$175,000 amortized over 20 years with a 5-year term and monthly payments. The interest rate on the mortgage was 7% per annum, compounded monthly, calling for monthly payments of $1,356.78 and an outstanding balance of $150,948.60 due at the end of the 5-year term.
Steve has just received an offer on his house from Linda. Linda’s offer consists of $45,000 cash and assumption of the existing mortgage for the remainder of the term. If current market rates for 3-year term mortgages are 5% per annum, compounded monthly, what is the market value of Linda’s offer?
(1) $220,233.07
(2) $254,367.37
(3) $237,989.28
(4) $243,966.11
1
Bill Black purchased a home two years ago, at which time he arranged for a mortgage in the amount of
$350,000 amortized over 20 years with a 5-year term and monthly payments. The interest rate on the mortgage was 6% per annum, compounded semi-annually. calling for monthly payments of $2,493 and an outstanding balance of $296,762.89 due at the end of the 5-year term.
Bill has just received an offer on his house from Mark. Mark’s offer consists of $50,000 cash and assumption of the existing mortgage for the remainder of the term. If current market rates for 3-year term mortgages are 3.5% per annum, compounded semi-annually, what is the market value of Mark’s offer?
(1) $352,537.42
(2) $449,911.72
(3) $399,223.72
(4) $402,537.42
4
A mortgage loan with a face value of $100,000 is arranged through a mortgage broker. A commission of
$3,500, appraisal fees of $450, as well as survey and legal fees totalling $600 will be deducted from the face value before the funds are advanced to the borrower. Calculate the cost of funds advanced to the borrower, expressed as an effective annual interest rate (j1), if the loan is written at 7.75% per annum, compounded semi-annually, with monthly payments over a 20-year amortization period and term?
(1) 8.952059%
(2) 8.571434%
(3) 8.252225%
(4) 9.439884%
2
As a marketing incentive to speed up the sale of newly completed but unsold condominiums, a developer agrees to provide the purchasers with first mortgages with a contract rate that is lower than the market rate of interest. Under these circumstances, it can be said that this is an offer involving:
(1) below-market rate financing.
(2) market rate financing.
(3) above-market rate financing.
(4) interest only financing.
1
Susan Jones has offered to purchase a house from a vendor who is willing to provide partial financing. Her offer is a $75,000 down payment plus a mortgage of $125,000 at 4% per annum, compounded semi- annually. The loan is to be fully amortized with monthly payments over 20 years. What is the market value of this offer if the market rate for similar mortgage loans is 6.5% per annum, compounded semi-annually?
(1) $113,009.30
(2) $188,009.30
(3) $101,994.94
(4) $176,999.94
4
A mortgage broker is arranging a partially amortized mortgage loan with a face value of $350,000. The loan contract is to be written at 6% per annum, compounded monthly. The repayment of the loan is to take place with monthly payments over an amortization period 15 years and a 5-year term. The borrower is to receive
$336,000 as a result of a broker’s commission of $10,000, a survey fee of $2,500, an appraisal fee of $500, and legal fees of $1,000, all of which are to be deducted from the face value. Calculate the cost of funds advanced to the borrower, expressed as an effective annual interest rate (j1).
(1) 7.296801%
(2) 9.942096%
(3) 8.407884%
(4) 7.163572%
1
Given that all other factors are identical, the longer the term of the contract on a bonused, partially amortized mortgage (where the bonus is paid by the borrower):
(1) the lower the effective interest rate paid by the borrower.
(2) the higher the effective interest rate paid by the borrower.
(3) the higher the required monthly payment.
(4) the higher the outstanding balance at the term’s end.
1
Sam and Sally recently negotiated a second mortgage in the amount of $25,000 at an interest rate of 9% per annum, compounded semi-annually. The loan is to be amortized over 20 years by monthly payments.
As a result of a $3,000 brokerage fee, assume that only $22,000 of the loan’s $25,000 face value is advanced to Sam and Sally. The effective annual rate of interest charged on the funds advanced will be:
(1) less than the effective annual equivalent of the contract interest rate.
(2) equal to the effective annual equivalent of the contract interest rate.
(3) greater than the effective annual equivalent of the contract interest rate.
(4) impossible to determine with the information provided.
3
A borrower has proposals from four lenders to advance funds of $122,000 as a mortgage loan. Payments on each loan will be made annually.
A B C D Face Value 125,500 125,000 124,000 123,000 Amortization Period 8 yrs 5 yrs 7 yrs 6 yrs Rate: j2 = 6.6% 6.5% 6.75% 7%
Based on effective annual interest rates on funds actually advanced, which alternative should the borrower choose?
(1) A
(2) B
(3) C
(4) D
3
An appraiser has located a comparable where the sale price was $350,000, comprised of $185,000 cash and a $165,000 vendor take-back mortgage written at 4% per annum, compounded semi-annually, with monthly payments rounded to the next higher dollar, a 25-year amortization, and a 4-year term. Assuming that the market rate for similar financing is 6% per annum, compounded semi-annually, what should the appraiser regard as the sale price of the house? (Round answer to the nearest $100).
(1) $154,000
(2) $ 339,000
(3) $ 350,000
(4) $ 165,000
2
A mortgage for $300,000 is written at 6.5% per annum, compounded monthly. The mortgage calls for monthly payments rounded to the next higher dollar, a 5-year term, and a 25-year amortization. The mortgage contract permits the borrower to prepay the full amount of the loan at any time subject to the payment of an interest rate differential penalty. At the time of prepayment, the current comparable interest rate is 4.5% per annum, compounded monthly.
If the borrower wishes to prepay this loan at the end of the second year (with the 24th payment), calculate the amount of the interest rate differential penalty.
(1) $1,448.76
(2) $17,385.12
(3) $14,708.47
(4) $23,180.16
2
Given that all other factors are identical, the shorter the term of the contract on a bonused, partially amortized mortgage (where the bonus is paid by the borrower):
(1) the lower the effective interest rate paid by the borrower.
(2) the higher the effective interest rate paid by the borrower.
(3) the higher the required monthly payment.
(4) the lower the outstanding balance at the term’s end.
2
A mortgage is arranged on the following terms:
Mortgage Face Value $170,000
Funds Advanced $163,500
Interest Rate j2 = 6.5%
Amortization Period 20 years
Term 20 years
Payments monthly, rounded up to the next higher dollar Calculate the rate of interest paid on funds advanced, expressed as an effective annual rate.
(1) 7.904213%
(2) 7.135321%
(3) 8.196945%
(4) 6.952145%
2