Question

A store will give you a 2.25% discount on the cost of your purchase if you pay cash today. Otherwise, you will be billed the full price with payment due in 1 month. What is the implicit borrowing rate being paid by customers who choose to defer payment for the month

Answer 1

The implicit borrowing rate is 31.4%.
Given that if payment was made in cash today, the store would reduce the cost of the product by 2.5 percent. This implies that the price you must pay at that time is $195.5, for instance, if the cost of the things is perhaps $200.
If the price is still $200, you will have to pay $200 at the end of the month. A difference of $200 - $195.5 = $3.5 if we compare at the end of the month versus if you pay immediately.This results in an increase of (3.5/196) x 100% = 1.79 %. An increase to bring the price back to $200.
Considering that a year has 12 months, the implicit borrowing rate at the conclusion of that year will be;

([(200/195.5)(12)] - 1) at 100% equals 31.4%.

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