A borrower and lender agree on a negative-amortizing loan in the amount of $300,000 at 4% interest for 30 years. The amount due at maturity will be $350,000. Calculate the loan balance after 20 years. $324,694.82 $350,000.00 O $326,422.53 O $141,461.68
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![A borrower and lender agree on a negative-amortizing loan in the amount of $300,000 at
4% interest for 30 years. The amount due at maturity will be $350,000. Calculate the loan
balance after 20 years.
$324,694.82
O $350,000.00
$326,422.53
1.461.68](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F926b5e8c-3515-4f7f-9eb3-2b6de3531274%2Fe586baa1-cede-4f8f-a191-0856f139c591%2F9zeefbn_processed.jpeg&w=3840&q=75)
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- A lender makes a loan of $100,000 at a 6% interest rate for 25 years with monthly payments. The lender will require an origination fee of $1,000 and will also discount the loan by some amount. Suppose the lender discounts the loan by the amount calculated in the last question. What is the annual percentage rate (APR) on this loan? a. 5.45% b. 6.00% c. 6.11% d.6.20% e. 6.65% Assume the borrower repays the loan after 8 years. What is the effective borrowing cost (EBC) on this loan? a. 6.10 b. 6.17 c. 6.33 d. 6.50 e. 6.84A bank has agreed to lend you $127,800 for a home loan. The loan will be fully amortized over 57 years at 12.98%, with .13 points. The loan payments will be monthly. The closing cost is estimated to be $2,168. Calculate the prepaid interest. O $169.18 O $167.72 O $196.60 O $177.71You plan to borrow $33,100 at a 7.0% annual interest rate. The terms require you to amortize the loan with 7 equal end-of- year payments. How much interest would you be paying in Year 2? O a. $2,077.39 b. $2,049.26 c. $6,141.81 d. $2,317.00 e. $5,740.01
- Consider a loan of $1,000 for five years with 10% add-on interest and the loan is to be paid off in five year-end payments. The funds that are borrowed (available to the borrower) are $1,000 and the “interest” is $100 × 5 = $500. The installments are calculated based on a loan principal amount of $1,000 + 500 = $1,500: $1,500/5 = $300 each. How much is the borrower really paying to borrow $1,000? Let’s restate this loan in more familiar terms: Present value = $1,000 Number of payments = 5 Amount of each payment = $300 and $1,000 = $300(present value of an annuity for T = 5 and r = ?) What is r=?A floating rate mortgage loan is made for $120,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $960. 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 $960?A partially amortizing loan for $92,000 for 10 years is made at 6 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 4 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? Note: For all requirements, do not round intermediate calculations, round your final answers to 2 decimal places.
- A floating rate mortgage loan is made for $190,000 for a 30-year period at an initial rate of 12 percent interest. However, the borrower and lender have negotiated a monthly payment of $1,520. 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 $1,520?1. A loan with the following terms is being made: Fixed rate, constant payment 9% interest rate $70,000 desired mortgage amount. $1,500 loan discount points paid by the buyer/borrower to the lender 25-year term, monthly payments a. Calculate the APR for federal truth-in-lending purposes (assume that the discount points are paid up front by the borrow and rolled into the loan principal). b. Do you think that the APR calculated in (a) reflects the likely return that the lender will receive over the term of the loan? List specific reasons that the lender's actual return might be different than the APR.Develop an amortization schedule for the loan described. (Round your answers to the nearest cent.) $210,000 for 3 years at 6% compounded annually Period Payment Interest Balance Reduction Unpaid Balance $210,000 1 $ $ $ $ 2 $ $ $ $ 3 $ $ $ $0.00
- basic ARM is made for $220,000 at an initial interest rate of 6 percent for 30 years with an annual resetdate. The borrower believes that the interest rate at the beginning of year (BOY) 2 will increase to 7 percent. Required:a. Assuming that a fully amortizing loan is made, what will the monthly payments be during year 1? b. Based on (a) what will the loan balance be at the end of year (EOY) 1? c. Given that the interest rate is expected to be 7 percent at the beginning of year 2, what will the monthlypayments be during year 2? d. What will be the loan balance at the EOY 2 ? e. What would be the monthly payments in year 1 if they are to be interest only?Consider a 4-year amortizing loan. You borrow $2,400 initially and repay it in four equal annual year-end payments. a. If the interest rate is 10%, what is the annual payment? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Annual payment $ ✓Answer is complete and correct. Time b. Prepare an amortization schedule. Note: Do not round intermediate calculations. Round your answers to 2 decimal places. Leave no cells blank - be certain to enter "0" wherever required. 1 2 3 4 Loan Balance (S) 2,400.00 2,400.00 757.13 1,882.87 x 1,314.03 688 Answer is complete but not entirely correct. Year-End Interest Due on Loan Balance (5) 240.00 188.29 131.40 68.83 Total Year- End Payment ($) 10 757.13 757.13 757.13 757.13 Amortization of Loan (S) 0 517.13 568.84 625.73 688.30A basic ARM is made for $216,000 at an initial interest rate of 6 percent for 30 years with an annual reset date. The borrower believes that the interest rate at the beginning of year (BOY ) 2 will increase to 7 percent. Required: a. Assuming that a fully amortizing loan is made, what will the monthly payments be during year 1? b. Based on (a) what will the loan balance be at the end of year (EOY ) 1? c. Given that the interest rate is expected to be 7 percent at the beginning of year 2, what will the monthly payments be during year 2? d. What will be the loan balance at the EOY 2? e. What would be the monthly payments in year 1 if they are to be interest only?
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