00:01
The hhi will always increase as one firm gets more market share.
00:06
That's the idea behind the metric.
00:09
So if we want to see the lowest possible hhi for a certain firm concentration, we would simply spread out that as equally as we possibly can.
00:19
So here we are asked if a market with a four -firm concentration of 50%, so the top four firms control 50 % of the market, is it possible to have an hha of 600? to answer this, we need to see the lowest possible hhi for this.
00:50
The lowest possible hhi would be the one in which each of these top four firms controls exactly 12 .5 % of the market.
01:02
That would be the most spread out.
01:05
So let's calculate that hhi.
01:12
12 .5 squared is 156 .25 .25.
01:25
And we will simply repeat this four times for the four firms.
01:28
So we can just, instead of adding it together four times, we can just say we're multiplying it by four.
01:35
And 156 .255 times four is equal to 625.
01:46
So the lowest possible hhi for firms in this particular setup is 625.
01:52
So it is not possible for them to have an hhi of 600.
01:58
Next we will ask if a four -firm concentration of 50 % can have an hhi of 3 ,000...