Credit terms are often stated in the following manner: 1.5/10, net 30. This means that if you pay within 10 days, you can take a 1.5 percent discount on the price, else the full amount is due in 35 days. For example, if you buy $1,000 in goods, you can pay $985 within 10 days or pay $1,000 within 35 days. What is the APR and EAR on this arrangement if you do not take advantage of the discount
The question gives at first 1.5/10 net 30, which means that | ||
payment is to be made by the 30th day if, discount is not | ||
availed of. But, after that it says payment is to be made | ||
by the 35th day. Hence, solution is given for both situations. | ||
If net is 30 days: | ||
1] | The interest rate for 20 days = 1.5/98.5 = | 1.52% |
2] | APR = (1.5/98.5)*(365/20) = | 27.79% |
3] | EAR = (1+1.5/98.5)^(365/20)-1 = | 31.76% |
If net is 35 days: | ||
1] | The interest rate for 25 days = 1.5/98.5 = | 1.52% |
2] | APR = (1.5/98.5)*(365/25) = | 22.23% |
3] | EAR = (1+1.5/98.5)^(365/25)-1 = | 24.69% |
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