Assume a $100,000 mortgage loan with 30-year term. The lender is charging an annual inte rate of 10% and two discount points at origination. Up-front financing costs paid to third par total $1,000. Assuming the mortgage is held for five years and no prepayment, the lender's yield is percent. (round to two decimal places)
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- Calculating interest and APR of installment loan. Assuming that interest is the only finance charge, how much interest would be paid on a 5,000 installment loan to be repaid in 36 monthly installments of 166.10? What is the APR on this loan?Calculating and comparing add-on and simple interest loans. Eli Nelson is borrowing 10,000 for five years at 7 percent. Payments, which are made on a monthly basis, are determined using the add-on method. a. How much total interest will Eli pay on the loan if it is held for the full five-year term? b. What are Elis monthly payments? c. How much higher are the monthly payments under the add-on method than under the simple interest method?A fully amortizing mortgage loan is made for $84,000 at 6 percent interest for 25 years. Payments are to be made monthly. Required: a. Calculate monthly payments. b. Calculate interest and principal payments during month 1. c. Calculate total principal and total interest paid over 25 years. d. Calculate the outstanding loan balance if the loan is repaid at the end of year 10. e. Calculate total monthly interest and principal payments through year 10. f. What would the breakdown of interest and principal be during month 50?
- assume a $175,000 mortgage loan and 10-year term. The lender is charging an annual interest rate of 6 percent and 4 discount points at origination. a. What is the monthly payment Assuming that it is based on an amortization period of 30 years? b. What will be the required balloon payment at the end of the tenth year? c. What is the effective borrowing cost on the loan if it is held to maturity? Give typing answer with explanation and conclusionA mortgage loan having a face value of \\( \\$ 265,000 \\) is arranged by a mortgage broker. From this face value, the broker deducted a fee of \\( \\$ 4,000 \\). The mortgage is written at a contract rate of \\( 3.2 \\% \\) compounded semiannually for a twenty-five year term, with monthly payments. What is the annual cost of borrowing, including the brokerage fee, expressed as an effective interest rate? \\( 3.00 \\% \\) \\( 3.37 \\% \\) \\( 3.73 \\% \\) \\( 4.15 \\% \\) \\( 4.09 \\% \\)Assume a $250,000 mortgage loan with 15-year term. The lender is charging an annual interest rate of 8% and three discount points at origination. Other up-front financing costs paid to other service providers (i.e., not the lender) total $1,000. What is the lender's yield on the loan? Assume monthly payments and no prepayment prior to loan maturity. 8.80% O 8.51% O 0.71% ○ 8.58%
- Assume we have a $1 million 15 year mortgage with monthly payments beginning in exactly one month; the interest rate is 6%. Determine the monthly mortgage payment under the following assumptions. In each case verify your calculation by giving the relation between the pay rate and the accrual rate. It is an 10 loan O Monthly payment: $5000; pay rate: 0.5%; accrual rate: 0.5% O Monthly payment: $5000; pay rate: 6%; accrual rate: 6% O Monthly payment: $5000; pay rate: 0.05%; accrual rate: 6% O Monthly payment: $60000, pay rate: 6%; accrual rate: 6%A floating rate mortgage loan is made for $185,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,480. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,480?A floating rate mortgage loan is made for $155,000 for a 30 -year perlod at an Initial rate of 12 percent interest. However, the borrower and lender have negotlated a monthly payment of $1,240. Required: a. What will be the loan balance at the end of year 1 ? b. If the interest rate increases to 13 percent at the end of year 2 , how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,240 ?
- Consider a home mortgage of $150,000 at a fixed APR of 6% for 25 years. a. Calculate the monthly payment. b. Determine the total amount paid over the term of the loan. c. Of the total amount paid, what percentage is paid toward the principal and what percentage is paid for interest. a. The monthly payment is $ (Do not round until the final answer. Then round to the nearest cent as needed.)A floating rate mortgage loan is made for $195,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,560. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,560? Complete this question by entering your answers in the tabs below. Required A Required B What will be the loan balance at the end of year 1? Note: Do not round intermediate calculations. Round your final answer to 2 decimal places. Loan balanceA floating rate mortgage loan is made for $180,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,440. Required: a. What will be the loan balance at the end of year 1? b. If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,440? Complete this question by entering your answers in the tabs below. Required A Required B If the interest rate increases to 13 percent at the end of year 2, how much is the payment plus negative amortization in year 2 and year 5 if the payment remains at $1,440? Note: Do not round intermediate calculations. Round your final answers to 2 decimal places. Loan balance in year 2 Interest accrued - Year 2 Interest accrued - Years 2 - Year 5