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- Suppose you purchase a home and obtain a 15-year fixed-rate loan of $195,000 at an annual interest rate of 6.0%. a) What is your monthly payment? N: months I %: P.V: $ PMT: $ F.V: 0 P/Y: 12 C/Y: 12 b) Of the first month's mortgage payment, how much is interest? HINT: I=Prt Interest: I=$ c) Of the first month's mortgage payment, how much is applied to the principal? HINT: PMT - Interest Amount Applied to Principal: $ d) How much is your outstanding balance after the first month’s payment? HINT: Principal - Amount Applied to Principal Outstanding Balance after first payment: $a. What will be the monthly payment on a 30-year, $250,000 mortgage loan, where the interest rate is 6% per year, compounded monthly? How much interest is paid over the life of the loan? b. What will be the monthly payment on a 30-year, $250,000 mortgage loan, where the interest rate is 6% per year, compounded continuously? How much interest is paid over the life of the loan? c. What will be the monthly payment on a 15-year, $250,000 mortgage loan, where the interest rate is 6% per year, compounded monthly? How much interest is paid over the life of the loan?Assuming that the 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 166.10? What is the APR on this loan?
- 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.1.What are the annual payments for a 4-year $4,000 loan if the interest rate is 9% per year? Make up a loan amortization schedule(a) Find the monthly mortgage payment on a $170000 15-year mortgage if the interest rate on the loan is 3.81%. (b) How much will you pay in interest over the life of the loan if you pay the minimum monthly payment each month?
- What is the monthly payment on a 30 year, $661,000 mortgage, with an interest rate of 3%, compunded monthly?Consider a 30-year home mortgage of $100,000 at 6% per year. What is the monthly payment? Use Theorem 1 as attached to make an amortization schedule of the first 6 months: Month (k) Principal P(k) Interest I(k) Balance due B(k) 1 2 3 4 5 6 where P(k) is the amount paid to the principal in the k’th payment, I(k) is the amount paid to interest in the k’th payment, B(k) is the balance due after the k’th payment.Find the APR of the loan given the amount of the loan the number and types of payment in the add-on interest-rate. Loan amount $15,000; three-year payments; rate equals 11%. The annual percent rate is? 
- Use the Loan Payoff Table to determine both the finance charge and the payment required to amortize a loan of $4100 at an annual interest rate of 11% with a term of 36 monthly payments. What is the amount of each payment? What is the finance charge?Find the interest paid on a loan of $2,700, for three years at a simple interest rate of 12% per year. What is the interest on the loan?Consider a 15 year, fixed rate mortgage for $150,000 at a nominal rate of 8%. The loan comes with a facility to pay end of year installments. What is the duration of the loan? If interest rates increase to 8.25% immediately after the mortgage is made, how much is the loan worth to the lender?
