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What effective annual interest rate does the firm earn when a customer does not

ID: 2769325 • Letter: W

Question

What effective annual interest rate does the firm earn when a customer does not take the discount? (Enter your answer as a percentage rounded to 2 decimal places

What effective annual interest rate does the firm earn if the discount is changed to 3 percent? (Enter your answer as a percentage rounded to 2 decimal places

What effective annual interest rate does the firm earn if the credit period is increased to 65 days? (Enter your answer as a percentage rounded to 2 decimal places

What effective annual interest rate does the firm earn if the discount period is increased to 20 days? (Enter your answer as a percentage rounded to 2 decimal places

A firm offers terms of 2/15, net 45. (Enter your answers as directed, but do not round intermediate calculations.)

Explanation / Answer

1.What effective annual interest rate does the firm earn when a customer does not take the discount?

Effective interest rate = discount %/(100-discount %) X 360/(FT - DP)

Where:

FT = the full term allowed for payment in days

DP = the discount period allowed for payment in days

pay an invoice with terms of 2/15, net 45. Plugging into the formula:

Effective interest rate = 2/(100-2) X 360/(45-15)

= 2/98 X 360/30

= 24.49%

2.What effective annual interest rate does the firm earn if the discount is changed to 3 percent?

pay an invoice with terms of 3/15, net 45. Plugging into the formula:

Effective interest rate = 3/(100-3) X 360/(45-15)

= 3/97 X 360/30

= 37.10%

3.What effective annual interest rate does the firm earn if the credit period is increased to 65 days?

pay an invoice with terms of 2/15, net 65. Plugging into the formula:

Effective interest rate = 2/(100-2) X 360/(65-15)

= 2/98 X 360/40

= 18.36%

4.What effective annual interest rate does the firm earn if the discount period is increased to 20 days?

pay an invoice with terms of 2/20, net 45. Plugging into the formula:

Effective interest rate = 2/(100-2) X 360/(45-20)

= 2/98 X 360/25

=29.38%

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