A loan of L is being amortized with payments at the end of each year for 10 years. If v = 22/30, find expressions for the following in terms of L: (a) The amount of principal reapid in the first 5 payments. (b) The amount due at the end of 10 years if the final 5 payments are not made as scheduled
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- Suppose a borrower makes a $100,000 loan with annual payments at a 10 percent rate and a 10-year term. The loan is fully amortizing; however, payments are made on an annual basis to simplify the initial illustration. How the annual loan payment is calculated?A $400 loan is to be amortized with eight quartely payments over 2 years. If the interest is at J4 = 10% a. Find the quartely payment b. Construct an amortization schedule for this loan payment.1. Let's assume that a loan of $100,000 with an annual interest rate of 6% over 30 years pays monthly payments of $500. a. Calculate the accumulation rate b. Calculate the payment rate . c. Answer : How will the balance of the principal be at the end of the loan in relation to the original amount of the loan? Less, equal or greater? Provide calculations.
- Use aspreadsheet to create amortization schedules for the following five scenarios.What happens to the total interest paid under each scenario?a. Scenario 1:Loan amount: $1 millionAnnual rate: 5 percentTerm: 360 monthsPrepayment: $0b. Scenario 2: Same as 1, except annual rate is7 percentc. Scenario 3: Same as 1, except term is 180monthsd. Scenario 4: Same as 1, except prepayment is$250 per monthe. Scenario 5: Same as 1, except loan amount is$125,000A basic ARM is made for $200,000 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 the year (BOY) 2 will increase to 7 percent.a. Assuming that a fully amortizing loan is made, what will monthly payments be during year 1?b. Based on (a) what will the loan balance be at the end of the year (EOY) 1?c. Given that the interest rate is expected to be 7 percent at the beginning of year 2, what willmonthly 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?f. Assuming terms in (e), what would monthly interest only payments be in year 2?A basic ARM is made for $180,000 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 the year (BOY) 2 will increase to 7 percent. a. Assuming that a fully amortizing loan is made, what will monthly payments be during year 1? b. Based on (a) what will the loan balance be at the end of the year (EOY) 1? c. Given that the interest rate is expected to be 7 percent at the beginning of year 2, what will monthly payments be during year 2? d. What will be the loan balance at the EOY 2?
- Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount xr, is due at the end of the rth year. Let the effective annual interest rate for the rth year be ir. Give an identity which expresses L in terms of the xr and ir.A loan is being repaid by 20 level annual payments of R, where R is three times the amount of interest that accrues during the first year. Find the interest rate of the loan expressed as an effective annual rate.Suppose that you need an amount of money which equals to $10000000. It is possible to find it from bank A at an annual interest rate of 18% under 12 equal payment. If the first payment will be 1 month later the day you used the loan. Find the CF (Cash Flow), the equal payments and prepare the amortization table.
- Set up an amortization schedule for a Rs 100,000 loan to be repaid in equalinstallments at the end of each of the next 5 years. The interest rate is 10%compounded annually. b. What percentage of the payment represents interest and what percentage represent principal for each of the 5 years? Why do these percentages change over time?Show that the total interest paid on the amortization of a loan with leveled monthly payments K for n years at an interest rate of i% per annum is equalA 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.