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SECTION 8-1 Single-Payment Loans pp
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Key Words to Know single-payment loan (p. 284)
A loan that has to be repaid with one payment after a specified period of time. promissory note (p. 284) A written promise to pay a certain sum of money on a certain date in the future.
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Key Words to Know maturity value (p. 284)
The total amount that must be repaid on a loan, including the principal borrowed and the interest owed. term (p. 284) The amount of time for which a loan is granted before it has to be repaid.
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Key Words to Know ordinary interest (p. 284)
Interest on a loan calculated by basing the time of the loan on a 360-day year. exact interest (p. 284) Interest on a loan calculated by basing the time of the loan on a 365-day year.
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Formula 1 Interest = Principal × Rate × Time
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Formula 2 Ordinary Interest = Principal × Rate × Time ÷ 360
Exact Interest = Principal × Rate × Time ÷ 365
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Formula 3 Maturity Value = Principal + Interest Owed
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Example 1 Anita Bonita bank granted her a single-payment loan of $7,200 for 91 days at 12 percent ordinary interest. What is the maturity value of the loan?
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Example 1 Answer: Step 1 Find the ordinary interest owed.
Principal × Rate × Time $7, × 12% × 91/360 = $218.40
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Example 1 Answer: Step 2 Find the maturity value.
Principal + Interest Owed $7, $ = $7,418.40
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Example 2 Anita Sloane’s bank granted her a single-payment loan of $7,200 for 91 days at 12 percent exact interest. What is the maturity value of the loan?
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Example 2 Answer: Step 1 Find the exact interest owed.
Principal × Rate × Time $7,200 × 12% × 91/365 = $ or $215.41
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Example 2 Answer: Step 2 Find the maturity value.
Principal + Interest Owed $7, $ = $7,415.41
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Practice 1 Single payment loan of $2,750. Interest rate of 11 percent.
Exact day of interest: 50. What is the interest owed?
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Practice 1 Answer $41.44
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Pg. 285: 1-16
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