Question

In: Finance

A company needs to borrow $10 million for its working capital needs. Its considering the following...

  1. A company needs to borrow $10 million for its working capital needs. Its considering the following three alternatives:

Forgo cash discounts granted with the credit terms of 3/10; net 30

Borrow from the bank at 15% requiring a compensating balances 12%

Issue commercial paper with 180 day maturity, at 12%. Cost of placement will $100,000.

Which alternative would be the best?

Solutions

Expert Solution

The effective annual rate of the three alternatives is to
be found out.
1] EAR = (1+3/97)^(365/20)-1 = 74.35%
2] Amount required $10m
Amount to be borrowed with compensatory balance = 10/88% = $                  11.364 million
Interest = 11.364*15% = $                    1.705 million
EAR = 1.705/100 = 17.05%
3] Required commercial paper = 10/94% $                  10.638 million
Total charges = 10.638-10+0.100 = $                    0.738 million
Interest rate for 180 days = 0.738/10 = 7.38%
EAR = 1.0738^2-1 = 15.30%
4] As the EAR of the commercial paper is the lowest, the
firm should choose it.

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