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# Terms of sale-effective annual interest rate

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A firm offers terms of 1/10, net 30. What effective annual interest rate does the firm earn when a customer does not take the discount? Without doing any calculations, explain what will happen to this effective rate if:

a. The discount is changed to 2 percent.

b. The credit period is increased to 45 days.

c. The discount period is increased to 20 days.

d. What is the EAR for each scenario?

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#### Solution Preview

A firm offers terms of 1/10, net 30. What effective annual interest rate does the firm earn when a customer does not take the discount? Without doing any calculations, explain what will happen to this effective rate if:

a. The discount is changed to 2 percent.

b. The credit period is increased to 45 days.

c. The discount period is increased to 20 days.

d. What is the EAR for each scenario?

A firm offers terms of 1/10, net 30. What effective annual interest rate does the firm earn when a customer does not take the discount?

Terms
Dicount= 1%
Discount period= 10 days
Period after which the account becomes overdue= 30 days

Assume the payment is for \$100.00
During the first 10 days you obtain a free ride on the seller's credit
If you do not take the cash discount, in effect you are borrowing the difference between the total amount billed
\$100.and the amount of the cash discount \$1. which, of course is \$99.

Per period cost of loan
= dollar cash discount/dollar amount of loan= \$1./ \$99. = 1.01%

No of periods= 365 days/ (30days - 10days ...

#### Solution Summary

The solution calculates the effective annual interest rate that the firm earns when a customer does not take the discount.

\$2.19