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Commercial paper. ​ Criss-Cross Manufacturers will issue commercial paper for a​ short-term cash ...

Commercial paper. ​ Criss-Cross Manufacturers will issue commercial paper for a​ short-term cash inflow. ​ Criss-Cross must raise $5,500,000​, and the paper will have a maturity of 182 days. If this paper has a maturity value of ​$50000 and is selling at an annual interest rate of 8.2%​, what are the proceeds from each​ paper; that​ is, what is the discount rate on the commercial​ paper?

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Answer #1

Annual interest rate of Commercial paper = 8.2% or 0.082

182 days rate = 0.082 * 182/365 = 0.040887671

Commercial paper maturity value or par value = $50,000

Proceeds from Commercial paper formula = Par value * 1/(1+i for time of issue)

50000 *1/(1+0.040887671)

=48,035.92

So, proceeds from commercial paper is $48,035.92

Discount = 50000-48035.92

=1964.02

Discount rate on commercial paper is $1964.02./50000 = 0.039282

So, discount rate is 3.93%

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