In a discount interest loan, you pay the interest payment up front. For example, if a 1-year loan is stated as $10,000 and the interest rate is 10%, the borrower "pays" .10 × $10,000 = $1,000 immediately, thereby receiving net funds of $9,000 and repaying $10,000 in a year.    a. What is the effective interest rate on this loan? (Round your answer to 2 decimal places.)  b. If you call the discount d (for example, d = 10% using our numbers), express the effective annual rate on the loan as a function of d.  c. Is the effective annual rate always greater than the stated rate d?

G. Find the interest rate (APR) on a 27-year mortgage with a initial loan amount of $358,000, if the monthly payment is $2229.45 Let's use references for input values; and be sure to annualize the rate!                             INPUTS:   OUTPUT:               Period   Rate is   APR           Payment                   Loan amount

(Ch 11 #9) There is a loan obligation to pay $1000 one year from today and another $1000 two years from today. Assuming the annual effective rate of interest is 10%, find the following: a) Macaulay duration of the loan. b) Modified duration of the loan. c) Convexity of the loan.

Find the amount of interest and the maturity value of the following loan. Use the formula MV =P+I to find the maturity value. Round your answers to the nearest cent. Principal Rate (%) Time Interest Maturity Value $100,000 7 4 months

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.

Calculate the maturity value of the simple interest loan. (Round your answer to two decimal places.) P = $2600, r = 8.8%, t = 5 months

Suppose the interest rate is 3.9%. a. Having $350 today is equivalent to having what amount in one year? b. Having $350 in one year is equivalent to having what amount today? c. Which would you prefer, $350 today or $350 in one year? Does your answer depend on when you need the money? Why or why not? a. Having $350 today is equivalent to having what amount in one year? It is equivalent to $. (Round to the nearest cent.)

Consider two loans with a 1-year maturity and identical face values: a(n) 8.3% loan with a 0.99% loan origination fee and a(n) 8.3% loan with a 4.9% (no-interest) compensating balance requirement. Which loan would have the higher effective annual rate (EAR)? Why? The EAR in the first case is %. (Round to one decimal place.)