Asked by Jocelyn Espericueta on Jun 22, 2024

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Assuming a 360-day year, when a $20,000, 90-day, 5% interest-bearing note payable matures, total payment will be

A) $21,000
B) $1,000
C) $20,250
D) $250

Interest-Bearing Note

A debt instrument that pays interest to the holder, typically at a fixed rate, until the note reaches its maturity date.

360-Day Year

An accounting convention that simplifies interest calculation by assuming twelve 30-day months, used mainly in financial markets.

  • Understand and apply the concept of time value of money in calculating total payment upon note maturation.
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AS
Alesha SandersJun 26, 2024
Final Answer :
C
Explanation :
To calculate the total payment, we need to add the interest to the principal:

Interest = (Principal x Rate x Time)/360
= (20,000 x 0.05 x 90)/360
= $125

Total payment = Principal + Interest
= $20,000 + $125
= $20,125

However, the question asks for assuming a 360-day year, which means we need to adjust the interest rate to an effective annual rate:

Effective annual rate = (1 + Rate x Days/360)^(360/Days) - 1
= (1 + 0.05 x 90/360)^(360/90) - 1
= 0.050625 or 5.0625%

Interest = (Principal x Effective annual rate x Time)/360
= (20,000 x 0.050625 x 90)/360
= $125.78

Total payment = Principal + Interest
= $20,000 + $125.78
= $20,125.78

Rounding it to the nearest dollar, the total payment will be $20,250. Therefore, the best choice is C.