Inflation, equity buildup, and payment burden - YouTube

Channel: Marginal Revolution University

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I wanna talk about how inflation affects the borrower.
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So we're back to a spreadsheet.
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This is the spreadsheet that I used to create the guess and check
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but I've added three more columns.
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The first column is for the house price
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Which will go up with the general rate of inflation
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and the next column is the borrower's equity.
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Which is the house price minus the unpaid balance.
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And then we have the borrower's payment income ratio.
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I assume the borrower has $30,000 of income
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and that the income will go up with inflation
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So right now I have inflation that parameter set to 0.
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And as a result this isn't terribly interesting.
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The house price just stays the same
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and the payment income ratio stays just the same.
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And the equity, the borrowers equity builds up very slowly.
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Notice after 10 years the equity is only $17,000
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Ok now I'm going to change the inflation rate to 2%
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Lets watch what happens.
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Particularly the borrowers equity which was
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after 10 years was $17,000 without inflation
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is now $36,000
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so the just the 2% inflation rate
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more than doubles the equity build up for the borrower.
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So they really build up a lot of equity
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and you noticed that their payment income ratio
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If assuming that their income
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goes up with inflation steadily declines.
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So at the start it's 20% of their income
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by the 12th year it's down 15% of their income.
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So that you get a
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For the borrower
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inflation appears to be a good thing
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However, you got to be careful about that because what we've been
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assuming is that the nominal interest rate
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is constant while the inflation rate went up.
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Suppose we keep the real interest rate constant.
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That is the difference between the nominal interest rate and inflation.
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So lets start with a 2% inflation rate, 5% interest rate which is a
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3% real interest rate. Lets keep a 3% real interest rate
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but raise the inflation rate to 4%.
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So that means the nominal interest rate will go to 7
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And the inflation rate will be 4.
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Okay
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What happens there is that the borrower equity
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builds up even faster.
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So with the higher nominal interest rate
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The borrower now has 56,000 in equity.
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Whereas there were only they only had 36,000
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with 2% inflation and we had 0% inflation they only had 17,000.
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So this is a big jump in the borrower's equity
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and the payment income ratio which was 20% before to start with
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is now 24 % it still drops off dramatically
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down to 15% by year 12
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but it starts out very high
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and that's because with the higher interest rate
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the monthly payment is higher.
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And it takes awhile for the borrower's income to catch up.
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So that's something to think about the effect of inflation
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for the borrower.
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Basically the key points to remember
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are that as the nominal interest rate
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Sorry, as the inflation goes up
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keeping the nominal interest rate constant
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It's unambiguously better for the borrower.
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The borrower gets more equity and a nice drop in the
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payment income ratio.
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If when inflation goes up the real interest rate remains constant
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so that the nominal interest rate rises its not quite as good
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for a first time borrower.
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coming to buy a home because that payment income ratio
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goes up
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And I'll talk about it that more in a subsequent talk.