Question

In: Finance

Calculate the effective cost of the following trade credit terms when payment is made on the...

Calculate the effective cost of the following trade credit terms when payment is made on the net due date. Use approximate​ cost-of-credit formula. Note​: Assume a​ 30-day month and​ 360-day year.

a. 4​/5​, net 45

b. 4​/10​, net 30

c. 3​/10​, net 60

d. 4​/10​, net 60

Solutions

Expert Solution

Sol:

APR of the credit terms = Discount% / (100 - Discount%) x 360 / (Full allowed payment days - Discount days)   

a) 4​/5​, net 45 - The credit term of [4​/5​, net 45] means that you will get a discount of 4% if you clear your account within 5 days with a maximum credit period of 45 days.

APR of the credit terms = 4% / (100 - 4%) x 360 / (45 - 5)

APR of the credit terms = (4% / 96%) x (360 / 40)

APR of the credit terms = 0.04167 x 9 = 0.375 or 37.5%

b) 4​/10​, net 30 - The credit term of [4​/10​, net 30] means that you will get a discount of 4% if you clear your account within 10 days with a maximum credit period of 30 days.

APR of the credit terms = 4% / (100 - 4%) x 360 / (30 - 10)

APR of the credit terms = (4% / 96%) x (360 / 20)

APR of the credit terms = 0.04167 x 18 = 0.75 or 75%

c) 3​/10​, net 60 - The credit term of [3​/10​, net 60] means that you will get a discount of 3% if you clear your account within 10 days with a maximum credit period of 60 days.

APR of the credit terms = 3% / (100 - 3%) x 360 / (60 - 10)

APR of the credit terms = (3% / 97%) x (360 / 50)

APR of the credit terms = 0.03093 x 7.2 = 0.2227 or 22.27%

d) 4​/10​, net 60 - The credit term of [4​/10​, net 60] means that you will get a discount of 4% if you clear your account within 10 days with a maximum credit period of 60 days.

APR of the credit terms = 4% / (100 - 4%) x 360 / (60 - 10)

APR of the credit terms = (4% / 96%) x (360 / 50)

APR of the credit terms = 0.04167 x 7.2 = 0.30 or 30%


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