[OC] Assuming she holds opponents to 50% free throw shooting, Diar DeRozan's acoustic defense over a full season is statistically worth the supermax

The Raptors shot 18/36 (50%) from the line tonight, visibly staggering at the charity stripe as Diar DeRozan surgically picked apart the fragile defense of their vestibular systems.

Naturally, we should assume all opponents will shoot 50% from the foul line if Diar is audible.

But what, exactly, is this worth?

Using cutting edge methods adapted from John Hollinger's BORD$ system of player valuation, I have determined an objective and indisputable answer.

First, let's see how many points this is worth on a per-100-possessions basis. The average NBA team this season took 23.6 free throws per 100 at 74.9%. With Diar shrieking, they will make only 50%. Therefore, Diar's defensive presence is worth 5.87 points per 100 (23.6 * .749 - 23.6 * .5).

Now, let's compare that to replacement level. Hollinger used an unnecessarily complicated value for replacement level that was based on position. Diar is a modern player who is versatile and positionless, so let's use Basketball-Reference's estimate of replacement value at -2.0 points per 100. Thus, Diar is worth 7.87 points over replacement per 100.

Let's get to the money. Hollinger estimated that the value of each minute of performance at one point above replacement level was worth about $2511. However, that was under the 2019-20 salary cap of $109.1 million. This season, the salary cap is at $123.7 million, an increase of 13.4%. For convenience, let's just scale that $2511 figure up by 13.4% to arrive at $2847 for each minute of performance at one point above replacement level.

Diar goes all 48, and more if need be. Assuming she also doesn't load manage, she'll perform for 82 games at about 48.4 minutes per game (the average team played 48.4 minutes this season because of overtime). So our total is:

$2847 * 7.87 * 82 * 48.4 = $88,924,496

Turns out the supermax would be an egregious underpay. Pay up Reinsdorf.