Bank — Discount
: Simple interest calculates on the amount borrowed; bank discount calculates on the amount to be repaid.
Bank Discount: Overview and Mechanics A bank discount is a financial arrangement where a lender (the bank) deducts interest from a loan’s face value at the time the loan is issued. Instead of paying interest at the end of the term, the borrower receives the net amount (proceeds) and pays back the full face value at maturity. Core Concept : The bank takes its "cut" upfront. Discount Amount : The dollar value deducted from the loan. Proceeds : The actual cash the borrower takes home. Maturity Value : The total amount the borrower must repay. The Calculation Formula To find the discount amount, use: D : Bank discount (interest amount). M : Maturity value (face value of the note). d : Annual discount rate. t : Time (expressed in years). To find the proceeds ( ): Key Features Short-term focus : Usually applies to loans under one year. Commercial Paper : Often used for Treasury bills and notes. bank discount
: Simple interest is paid at the end; bank discount is paid at the start. Practical Example : Simple interest calculates on the amount borrowed;