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- You can obtain a loan of $200000 at a rate of 15 percent for two years. You have a choice of (i) paying the interest (15 percent) each year and the total principal at the end of the second year or (ii) amortising the loan, that is, paying interest (15 percent) and principal in equal payments each year. The loan is priced at par. a. What is the duration of the loan under both methods of payment? b. Explain the difference in the two resultsWhen interest is charged on the unrecovered balance, if you borrow $10,000 at 10% per year interest and repay the loan in equal payments over a 5-year period, the payment amount is $2638 per year. How much will the annual payment be if the interest rate is charged on the initial loan amount instead of the unrecovered balance?In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $34,000 and the interest rate is 9.50%, the borrower “pays” 0.0950 × $34,000 = $3,230 immediately, thereby receiving net funds of $30,770 and repaying $34,000 in a year. A. What is the effective interest rate on this loan? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.) B. What is the effective annual rate on a 1-year loan with an interest rate quoted on a discount basis of 19.50%? (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
- 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 borrower has secured a 30 year, $154,00O loan at 7% with monthly payments. Fifteen years later, the borrower has the opportunity to refinance with a fifteen year mortgage at 6%. However, the new loan requiers the borrower to pay 2 points at chopsing. What is the return on investment if the borrower expects to remain in the home for the next fifteen years? Please input your answer as an annual interest rate (i.e. 8.32% would be input as 8.32).An investor took out a loan of $15,000 for three years at a variable interest rate where the interest rate resets at the beginning of each year to the 1-year spot rate. The investor will make an interest payment to the lender at the end of each year and repays the loan amount at the end of 3 years. The 1-year spot rate is 3%, the 2-year spot rate is 4%, and the 3-year spot rate is 6%. The investor decided to enter into an finterest rate swap to fix the interest rate for 3 years where the terms of the swap match the terms of the loan. Determine the level swap rate R.
- A borrower has secured a 30 year, $131,000 loan at 8% with monthly payments. Fifteen years later, the borrower has the opportunity to refinance with a fifteen year mortgage at 7.5%. However, the new loan requiers the borrower to pay 2 points at closing. What is the return on investment if the borrower expects to remain in the home for the next fifteen years? Please input your answer as an annual interest rate (i.e. 8.32% would be input as 8.32).You have just purchased a new warehouse. To finance the purchase, you've arranged for a 30-year mortgage loan for 80 percent of the $2,700,000 purchase price. The monthly payment on this loan will be $16,000. a. What is the APR on this loan? Annual percentage rate b. What is the EAR? Effective annual rateA borrower has secured a 30 year, $131,000 loan at 8% with monthly payments. Fifteen years later, the borrower has the opportunity to refinance with a fifteen year mortgage at 7.5%. However, the new loan requiers the borrower to pay 2 points at closing. What is the return on investment if the borrower expects to remain in the home for the next fifteen years? Please input your answer as an annual interest rate (i.e. 8.32% would be input as 8.32).
