Chapter 11 Promissory Notes, Promissory Notes, Simple Discount Simple Discount Notes, and Notes, and the Discount the Discount Process Process Copyright © 2011 by the McGraw-Hill Companies, Inc. All rights reserved. McGraw-Hill/Irwin
Dec 23, 2015
Chapter 11
Promissory Notes, Simple Promissory Notes, Simple Discount Notes, and Discount Notes, and the Discount Processthe Discount Process
Copyright © 2011 by the McGraw-Hill Companies, Inc. All rights reserved.McGraw-Hill/Irwin
11-2
1. Differentiate between interest-bearing and noninterest-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
Promissory Notes, Simple Discount Notes, and the Discount Process#11#11Learning Unit ObjectivesStructure of Promissory Notes; the Simple Discount Note
LU11.1LU11.1
11-3
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
Promissory Notes, Simple Discount Notes, and the Discount Process#11#11Learning Unit ObjectivesDiscounting and Interest-Bearing Note before Maturity
LU11.2LU11.2
11-4
Structure of a Promissory NoteFigure 11.1
___________a. LAWTON, OKLAHOMA __________________c.
__________________________b. AFTER DATE _______ PROMISE TO PAY TO
THE ORDER OF ___________________________________________d.
____________________________________________DOLLARS
PAYABLE AT ____________________________________
VALUE RECEIVED WITH INTEREST AT ______e. REGAL CORPORATION f.
NO. ______ DUE _____________________g. ________________
TREASURER
a. Face value d. Payee g. Maturity dateb. Time e. Ratec. Date f. Maker
$10,000 October 2, 2010
Sixty days We
G.J. Equipment Company
Ten Thousand and 00/100 -------
Able National Bank
9%
114 December 1, 2010 J.M. Moore
11-5
Simple Discount Note
Simple discount note - A note in which the loan interest is
deducted in advance
Bank discount - the interest that banks deduct in advance
Bank discount rate - the percent of interest
Proceeds - the amount the borrower receives after the bank
deducts its discount from the loans maturity value
Maturity Value – The total amount due at the end of the loan
11-6
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
$10,000 - $250 = $9,750Proceeds
Bank Discount
Bank DiscountRate
11-7
Table 11.1 - Comparison of simple interest note and simple discount note
Simple interest note (Chapter 10)
1. A promissory note for a loan with a term of usually less than 1 year. Example: 60 days
2. Paid back by one payment at maturity. Face value equals actual amount (or principal) of loan (this is not maturity value)
3. Interest computed on face value or what is actually borrowed. Example: $186.67
4. Maturity value = Face value + Interest Example: $14, 186.67
5. Borrower receives the face valueExample: $14,000
6. Effective rate (true rate is same as rate stated on note). Example: 8%
7. Used frequently instead of the simple discount note. Example: 8%
Simple discount note (Chapter 11)
1. A promissory note for a loan with a term of usually less than 1 year. Example: 60 days
2. Paid back by one payment at maturity. Face value equals maturity value (what will be repaid)
3. Interest computed on maturity value or what will be repaid and not on actual amount borrowed. Example: $186.67
4. Maturity value = Face valueExample: $14, 000
5. Borrower receives proceeds = Face value - bank discount. Example: $13,813.33
6. Effective rate is higher since interest was deducted in advance. Example: 8.11%
7. Not used as much now because in 1969 congressional legislation required that the true rate of interest be revealed. Still used where legislation does not apply, such as personal loans.
11-8
Comparison
InterestI = Face Value (Principal) x R x TI = $14,000 x .08 x 60
360I = $187.67
Maturity ValueMV = Face Value + InterestMV = $14,000 + $ 187.67=$14,187.67
ProceedsProceeds = Face Value Proceeds = $14,000
Simple Interest Note - Ch. 10 Simple Discount Note - Ch. 11
InterestI = Face Value (Principal) x R x TI = $14,000 x .08 x 60
360I = $186.67
Maturity ValueMV = $14,000
ProceedsProceeds = MV - Bank discount Proceeds = $14,000 - $186.67Proceeds = $13,813.33
11-9
Comparison - Effective Rate
Rate = Interest Proceeds x TimeRate = $186.67
$14,000 x 60 360
Rate = 8%
Simple Interest Note - Ch. 10 Simple Discount Note - Ch. 11Rate = Interest Proceeds x TimeRate = $186.67
$13,813.33 x 60 360
Rate = 8.11%
The effective rate for a simple discount note is higher than the stated rate, since the bank
calculated the rate on the face of the note and not on what Terrance received
11-10
Treasury BillsLoan to Federal Govt.
Terms of Purchase
91 days (13 Weeks)
or
1 Year
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
11-11
Discounting an Interest-Bearing Note before Maturity
Step 1. Calculate the interest and maturity value
Step 2. Calculate the discount period (time the bank holds note)
Step 3. Calculate the bank discount
Step 4. Calculate the proceeds
11-12
Discounting an Interest-Bearing Note before Maturity
Roger Company sold the following promissory note to the bank:
Date of Face Value Length of Interest Bank Discount Date of note of note note rate rate discountMarch 8 $2,000 185 days 10% 9% August 9
Date of Date of Date note discount note due
March 8 August 9 Sept. 9 154 days before note is discounted
31 days
Bank waits
185 days total length of note
11-13
Discounting an Interest-Bearing Note before Maturity
Roger Company sold the following promissory note to the bank:
Date of Face Value Length of Interest Bank Discount Date of note of note note rate rate discountMarch 8 $2,000 185 days 10% 9% August 9
What are Camille’s interest and maturity value? What are the discount period and bank discount? What are the proceeds?
I = $2,000 x .10 x 185 = $102.78 360
MV = $2,000 + $102.780 = $2,102.78
$2,102.78 x .09 x 31 = 16.30 360 $2102.78 – 16.30 = $2,068.48
Calculation on next slide
11-14
Calculation of days without table
Manual Calculation
March 31
-8
23
April 30
May 31
June 30
July 31
August 9
154
185 days - length of note
-154 days Roger held note
116 days bank waits
Table Calculation
August 9 221 days
March 8 -67 days
154 days passed before note is discounted
185 day note -154
31 discount pd.
11-15
Problem 11-10:
Solution:
a. ($10,000.00 - $9,881.25) = $118.75
$118.75 _ $9,881.25 x 13
52
$118.75 _ $2,470.3125
= 4.8070841% or 4.81% effective rate
b. =
11-16
Problem 11-13:Solution:
$10,000 x .05 x = $1251352
Effective rate = = 5.06% $125 _ $9,875 x 13
52
11-17
Problem 11-14:
Solution:
Aug. 16 228 daysMay 8 -128 100 days passed
180 – 100 = 80 days (discount period)
$3,000 x .08 x = $120
$3,000 + $120 = $3,120 MV
180360
Bank Discount
$3,120.00 x .09 x = $62.40
$3,120.00 - 62.40$3,057.60 proceeds
80360
11-18
Problem 11-16:
Solution:
June 12 163 daysMay 12 - 132 31 days passed90 – 31 = 59 days (discount period)
Maturity Value = $8,000 x .08 x
90 360 = $240 + $8,000 = $8,240
Bank Discount = $8,240 x .10 x
59 360
Discount Period = 90 - 31 = 59 days
= $135.04
Proceeds = $8,240 - $135.04 = $8,104.96