Asked by Ikhlas Salih on May 11, 2024

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Commercial Paper with a face value of $1,000,000 issued at a discount rate of 7.5% simple interest has a term of 360 days. At what price was it issued?

A) $944,736
B) $1,000,000
C) $925,000
D) $1,073,973
E) $931,122

Commercial Paper

Promissory notes issued by large corporations to borrow funds for a short term.

Discount Rate

The interest rate charged to commercial banks and other financial institutions for the loans they take from a country's central bank or Federal Reserve.

Issued Price

The price at which a new security is offered to the public for the first time.

  • Find out the initial and final prices of financial instruments by performing simple interest calculations.
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SG
Stephanie GarraezMay 14, 2024
Final Answer :
E
Explanation :
The price at which the commercial paper was issued can be calculated using the formula for simple interest: Price=Face Value−(Face Value×Discount Rate×Time) \text{Price} = \text{Face Value} - (\text{Face Value} \times \text{Discount Rate} \times \text{Time}) Price=Face Value(Face Value×Discount Rate×Time) . Given a face value of $1,000,000, a discount rate of 7.5%, and a term of 360 days, the calculation is Price=$1,000,000−($1,000,000×0.075×360360)=$1,000,000−$75,000=$925,000 \text{Price} = \$1,000,000 - (\$1,000,000 \times 0.075 \times \frac{360}{360}) = \$1,000,000 - \$75,000 = \$925,000 Price=$1,000,000($1,000,000×0.075×360360)=$1,000,000$75,000=$925,000 . Therefore, the correct answer is C, not E, based on the calculation provided.