Simple Discount Notes Section 9.3
Terms used with Discount Notes Proceeds What the borrower gets Discount What the bank gets Face Value Maturity Value (Total amount of the loan)
FORMULAS To find the Bank Discount: B = MDT To find Proceeds: P = M – B To find Maturity Value: M = P + B
A simple discount loan has a maturity value of $15,800; discount rate of 9%; and a time of 180 days. Find the bank discount and proceeds. A 220 day loan with a face value of $40,000 has a discount rate of 12%. Find the proceeds.
Finding Face Value to Achieve Desired Proceeds M = P (1 – DT)
A 300 day note has proceeds of $48,000 and a discount rate of 8.8%. Find the maturity value. Two notes both have face values of $24,000 and a time of 180 days. The first note has simple interest rate of 9%, and the second has a simple discount rate of 9%. Find the maturity value of each.
Effective Interest Rate a.k.a: Annual Percentage Rate, APR, or “True Rate” (Use I = PRT) Find the effective rate (APR) for a loan with a loan amount of $31,000 a time of 90 days, and interest of $