So we saw how the Multiplier Effect works with a change in government spending. Now, let's see how the Multiplier Effect works with taxes. So it's very similar to a change in government spending. Remember, the multiplier effect, it's how an initial boost in spending leads to a much higher increase in GDP. Okay? Well, in this case, we're not really changing an initial boost of spending. What we're doing is making more money or less money available to the households. Okay? Generally, when we deal with the multiplier effect, it's a situation where we're going to increase, right? We're going to have some sort of increase. So when there's a decrease in taxes, I know I just said an increase, but a decrease in taxes leads to an increase in household income. Right? Because if you're paying less taxes, you have more disposable income available. I'll say disposable income because disposable income is what we spend on consumption and savings. So in this case, it's kind of an inverse relationship. A decrease in taxes leads to higher income. So this increase in income leads to higher household consumption, right? So this is very similar to what we saw in the government spending multiplier, right?
Now, in this case, there's no initial boost in spending like we said. Oh, the government's going to spend an additional $5,000,000,000 No. Here, they're just making more money available by lowering taxes. So this increase in household consumption, again, is going to have a chain reaction because the extra money that's being spent is being earned by someone else who's going to spend some of it. It'll be earned and that cycle will continue. So that's that multiplier effect happening again. There's that second round of spending leading to more consumption, a third round of spending. It's going to go on and on like that.
Now, there's a difference here with the government spending multiplier and the tax multiplier. The tax multiplier tends to be a little smaller in magnitude because there's not that initial boost of spending happening by the government. This is just a little extra income that the households have. So it tends to be a little smaller where the government purchases multiplier might have been, let's say 4x. Maybe this one will be 3.5x or something like that. A little smaller, in general. It just tends to be like that. And another note here is that the tax multiplier is negative. Right? Because what did we see up here? A decrease in taxes leads to an increase in income, right? So they have this inverse relationship. Lower taxes, higher income, right? A decrease in taxes leads to an increase in consumption. Okay? So they have this inverse relationship, meaning by lowering taxes, we increase consumption. Some of that extra disposable income that you get goes to savings, right? We don't spend it all and that leads to smaller chain reactions happening than in the government purchases multiplier.
However, we see a very similar thing happening on the graph. There's going to be increases to aggregate demand, right? When there's this decrease in tax, well, there's going to be this first increase and this will be, we'll say, from boost in consumption number 1. I'm making up this term here. That's not an official term. We're boosting consumption the first time and then there's that chain reaction and it'll be a little smaller the second time. So this decrease in taxes is going to eventually lead to this final line here where it all plays out. After a few times through the chain reaction, we finally reach our new aggregate demand as it keeps chain reacting through the economy, these increases in consumption.
So when we talk about the tax multiplier, we use a little bit of a different equation, because like I said, it's not as, generally not as large as the regular multiplier. So what we're going to do is we're going to see how much our GDP has changed. The change, right? This little triangle change in equilibrium GDP divided by change in taxes. So you can imagine it's going to be negative, right? Because if we have a negative, let's say, $10,000,000,000 of taxes, they decrease taxes of $10,000,000,000 in taxes leading to, you know, $30,000,000,000 dollars of extra GDP, right? The change in GDP by lowering taxes, $10,000,000,000 GDP goes up by $30,000,000,000 Well, then we've got a tax multiplier of -three here, right? And it's negative because we're lowering taxes to increase our consumption leading to increased GDP, Okay? So it's very similar in effect what happens with a decrease in taxes or an increase in government spending. Okay? So the multiplier effect works in both cases. Let's pause here and let's discuss a little bit more about taxes on the next page.