16. Equity Financial Corp. discounted the following two interest-bearing notes. Compute the missing information (use a 360-day year).
a. |
Face Value |
$6,800 |
b. |
Face Value |
$3,000 |
Date of Note |
April 16 |
Date of Note |
October 28 |
||
Interest Rate |
10% |
Interest Rate |
9% |
||
Time to Run |
105 days |
Time to Run |
45 days |
||
Discount Date |
May 31 |
Discount Date |
November 12 |
||
Discount Rate |
15% |
Discount Rate |
12% |
||
Interest Amount |
Interest Amount |
||||
Maturity Value |
Maturity Value |
||||
Maturity Date |
Maturity Date |
||||
Days of Discount |
Days of Discount |
||||
Discount Amount |
Discount Amount |
||||
Proceeds |
Proceeds |
Solution a:
Interest amount = $6,800 * 10%*105/360 = $198.33
Maturity value = $6,800 + $198.33 = $6,998.33
Maturity date = 16 April to 105 days = 30th July
Days of discount = From May 31 to 30th July = 60 days
Discount amount = $6,998.33 * 15%*60/360 = $174.96
Net Proceed = $6,998.33 - $174.96 = $6,823.37
Solution b:
Interest amount = $3,000 * 9%*45/360 = $33.75
Maturity value = $3,000 + $33.75 = $3,033.75
Maturity date = 28 October to 45 days = 12th December
Days of discount = From Nov 12 to 12th December = 30 days
Discount amount = $3,033.75 * 12%*30/360 = $30.34
Net Proceed = $3,033.75 - $30.34 = $3,003.41
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