 Auctions frequently utilize a buyer’s premium, which is a percentage of the final bid price, added to such to then calculate the final sales price. For example, a car selling at auction for \$15,000 with a 10% buyer’s premium would then require the buyer to tender \$15,000 + (.10*15000) = \$16,500.

There is the conventional manner in which this calculation is completed, as we noted above. Most everyone takes the final hammer price times the buyer’s premium, and then adds the final hammer price. While this method is acceptable, there is an easier way to do this calculation if one has a calculator handy.

Our quicker method involves the principle that adding a percentage to a number is the same as multiplying it by [1+that percentage]. For example, adding 10% is the same as multiplying by 1.10 where “10%” is expressed as the decimal “.10”

• \$150,000 home selling with a 15% buyer’s premium: 150,000*1.15 = 172,500
• \$1,050 wristwatch selling with a 10% buyer’s premium: 1,050*1.10 = 1,155
• \$45,000 horse selling with an 8% buyer’s premium: 45,000*1.08 = 48,600

Let’s move on to calculating what the high bid was, if we know the number which includes the buyer’s premium.

For example, someone says that a John Deere tractor recently sold at auction for \$60,500 including a 10% buyer’s premium. How would we figure what the hammer price was?

By taking the \$60,500 total price for the John Deere tractor, and dividing by 1.10 we get \$55,000, which must have been the high bid, prior to adding the buyer’s premium.

• \$253,000 price including 15% buyer’s premium: 253,000/1.15 = 220,000 bid price
• \$2,100 price including 5% buyer’s premium: 2,100/1.05 = 2,000 bid price
• \$55,000 price including 10% buyer’s premium: 55,000/1.10 = 50,000 bid price

Lastly, how is just the buyer’s premium calculated, based upon either the high bid price, or the total sales price including the buyer’s premium?

If the high bid price is known, the buyer’s premium is calculated by taking the buyer’s premium as a percentage times the high bid price. For example, a diamond ring sells for \$4,900 and a 10% buyer’s premium is charged. The buyer’s premium alone would be 4,900*.10 = \$490.