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Rapier Fencing requires $750,000 in financing for a 60?day period

Finance

Rapier Fencing requires $750,000 in financing for a 60?day period. Three alternatives are being considered.

 

a. Establish a line of credit with the bank at an interest rate of 6 percent payable on a discounted basis.

b. Forgo trade discounts from suppliers on terms of 1.5/10, net 70.

c. Issue commercial paper for 60 days sold at a discounted price of 98.8 percent of maturity value.

 

a. What would be the rate of interest for bank loan? (Use 365 days in a year. Do not round intermediate calculations. Round the final answer to 2 decimal places.)

 

Rate of Interest for bank loan           %

 

b. What would be the cost of forgoing the cash discount? (Use 365 days in a year. Do not round intermediate calculations. Round the final answer to 2 decimal places.)

 

Cost of forgoing the cash discount           %

 

c. What would be the cost of commercial paper? (Use 365 days in a year. Do not round intermediate calculations. Round the final answer to 2 decimal places.)

 

Discounted commercial paper           %

 

d. Which alternative should be selected?

 

 

  • Bank loan
  • Cost of forgoing discount
  • Commerical paper

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a. Computation of Rate of Interest for Bank Loan:

Financing Required = $750,000

Interest Rate = 6%

Interest on Loan = $750,000*6%*60/365 = $7,397.26

Net Loan Amount = $750,000 - $7,397.26 = $742,602.74

 

Rate of Interest for Bank Loan = (1+$7,397.26/$742,602.74)^(365/60) -1

= (1.009961)^(365/60) - 1

Rate of Interest for Bank Loan = 6.22%

 

b. Computation of Cost of Foregoing the Cash Discount:

Cost of Foregoing the Cash Discount = (1+(Discount/(1-Discount)) ^(365/(Final Date - Early Date))) - 1

= (1+(1.5%/(1-1.5%))^(365/(70-10))) - 1

= (1+(0.0152))^(365/(70-10))) - 1

= 1.0963 -1

Cost of Foregoing the Cash Discount = 9.63%

 

c. Computation of Cost of Commercial Paper:

Maturity Value = $750,000*98.8% = $741,000

Discount = $750,000 - $741,000 = $9,000

Cost of Commercial Paper = 1+($9,000/$741,000)^(365/60) - 1 = 7.62%

 

d. Bank loan should be selected because its cost is less than other alternatives.