A firm buys on terms of 2/8, net 45 days, it does not take discounts, and it actually pays after 63 days. What is the effective annual percentage cost of its non-free trade credit? (Use a 365-day year.)

Respuesta :

The effective annual percentage cost of its non-free trade credit is 13.08%/

Here, we are to calculate the effective annual percentage cost.

Given Information

Discount % = 2%

Discount Days = 8

Net Days = 45

Actual days = 68

Nominal % cost = Disc. %/(100 – Disc. %) × (365/(Actual days – Disc. days)

Nominal % cost = 2 /(100 - 2) * 365/(68   -8)

Nominal % cost = 2 /98 * 365/60

Nominal % cost = 0.0204081 * 6.083333

Nominal % cost = 0.1241496

Nominal % cost = 12.41%

n = 365/(63 - 8) = 6.64

Effective annual rate = (1 + Nominal % rate/n)^ n – 1

Effective annual rate = (1 + 0.1241/6.64)^6.64 - 1

Effective annual rate = 1.13083302405 - 1

Effective annual rate = 0.13083302405

Effective annual rate = 13.08%

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