PROMISSORY NOTES, SIMPLE DISCOUNT NOTES, AND THE DISCOUNT PROCESS McGraw-Hill/Irwin Chapter Eleven Copyright © 2014 by The McGraw-Hill Companies, Inc. All rights reserved. LEARNING UNIT OBJECTIVES LU 11-1: Structure of Promissory Notes; the Simple Discount Note 1. Differentiate between interest-bearing and non-interest-bearing notes. 2. Calculate bank discount and proceeds for simple discount notes. 3. Calculate and compare the interest, maturity value, proceeds, and effective rate of a simple interest note with a simple discount note. 4. Explain and calculate the effective rate for a Treasury bill. LU 11-2: Discounting an Interest-Bearing Note before Maturity 1. Calculate the maturity value, bank discount, and proceeds of discounting an interest-bearing note before maturity. 2. Identify and complete the four steps of the discounting process. 11-2 STRUCTURE OF A PROMISSORY NOTE 11-3 SIMPLE DISCOUNT NOTE TERMINOLOGY Simple Discount Note - A note in which the loan interest is deducted in advance. Bank Discount - The interest that banks deduct in advance. Maturity Value – The total amount due at the end of the loan. Proceeds - The amount the borrower receives after the bank deducts its discount from the loan’s maturity value. Bank Discount Rate - The percent of interest. 11-4 SIMPLE DISCOUNT NOTE Example: Terrance Rime borrowed $10,000 for 90 days from Webster Bank. The bank discounted the note at 10%. What proceeds does Terrance receive? $10,000 x .10 x 90 = $250 360 Bank Discount Bank Discount Rate $10,000 - $250 = $9,750 Proceeds 11-5 COMPARISON OF SIMPLE INTEREST NOTE AND SIMPLE DISCOUNT NOTE 11-6 COMPARISON OF SIMPLE INTEREST NOTE AND SIMPLE DISCOUNT NOTE Scenario Face value = $18,000 Interest rate = 8% 60 days 11-7 TREASURY BILLS A Treasury bill is a loan to the federal government. Terms of Purchase: 91 days (13 weeks), or 1 year Example: If you buy a $10,000, 13-week Treasury bill at 8%, how much will you pay, and what is the effective rate? $10,000 x .08 x 13 = $200 52 Cost = $10,000 -- $200 = $9,800 Effective rate = $200 = 8.16% $9,800 x 13 52 11-8 DISCOUNTING AN INTEREST-BEARING NOTE BEFORE MATURIT Y Step 4. Calculate the proceeds. Step 3. Calculate the bank discount. Step 2. Calculate the discount period (time the bank holds note). Step 1. Calculate the interest and maturity value. 11-9 DISCOUNTING AN INTEREST-BEARING NOTE BEFORE MATURIT Y Roger Company sold the following promissory note to the bank: Date of Note March 8 Face Value of Note $2,000 Length of Note 185 days Interest Rate 6% Bank Discount Rate 5% Date of Discount August 9 11-10 11-10 DISCOUNTING AN INTEREST-BEARING NOTE BEFORE MATURIT Y Roger Company sold the following promissory note to the bank: Date of Note March 8 Face Value of Note $2,000 Length of Note 185 days Interest Rate 6% What are Roger’s interest and maturity value? Bank Discount Rate 5% Date of Discount August 9 I = $2,000 x .06 x 185 = $61.67 360 MV = $2,000 + $61.67 = $2,061.67 What are the discount period and bank discount? $2,061.67 x .05 x 31 = $8.80 360 What are the proceeds? $2,061.67 – $8.80 = $2,052.87 Calculation on next slide 11-11 CALCULATION OF DAYS WITHOUT TABLE Manual Calculation Table Calculation March August 9 March 8 31 -- 8 23 30 April May June July August 31 30 31 9 154 221 days -- 67 days Days passed before note is discounted Length of note Discount period 154 185 -- 154 31 185 days -- length of note -- 154 days Roger held note 31 days bank waits 11-12