Topic 5: Indexing


You have learned how unanticipated inflation redistributes wealth from asset holders who own the right to receive fixed nominal amounts in the future to debtors who have the obligation to pay those fixed amounts. Where the inflation is anticipated, these borrowers and lenders will get around this problem by incorporating in the interest rate a premium equal to the expected future rate of inflation. This will compensate for the expected effect of inflation on the real value of the principal and interest over the term of the loan.

Since it is impossible to gauge with any accuracy the future rate of inflation in countries that have any variability in their inflation rates, wealth effects of deviations of the actual from the expected inflation rates in these countries are inevitable. An excess of the actual over the expected inflation rate results in a redistribution of wealth from creditors to debtors while an excess of expected over actual inflation redistributes it in the opposite direction.

It is natural that people will attempt to find ways to avoid the wealth effects of unanticipated inflation. One way is to hold one's wealth in real capital goods such as real estate, automobiles, etc., or in shares in firms that hold real capital. Since the future earnings of these assets tend to rise and fall proportionally with the general level of prices, their present values, and market prices, are insulated in large part from the effects of unanticipated inflation (and anticipated inflation as well).

Avoiding nominally fixed assets, however, has the side effect that the benefits from borrowing and lending through this type of financial instrument are also lost. Bonds, mortgages, personal loans, and other nominally fixed assets exist because people want to hold their wealth in this form. They want this partly to avoid the risks of fluctuation in market value associated with changes in common stock prices and real estate values and partly because they want liquidity---to able to convert their assets into a predetermined amount of cash at any time. Also, these types of debt instruments represent the cheapest and often the only method through which individuals and firms can borrow in certain situations---home mortgages are an example.

As unanticipated price level changes become larger and more frequent, the risks from holding nominally fixed obligations become greater and wealth holders seek ways of reducing them. One way is through the indexing of contracts.

Suppose that you are aware of the possibility of major changes in the price level but you can't predict the timing, magnitude or direction of these price level changes. You might nevertheless be willing to make a loan to someone if provisions can be incorporated into the contract to protect you against unforseen inflation. One way of doing this is to denominate the loan in real today's dollars rather than nominal dollars.

Suppose you loan out $1000 for one year at 5 percent under an agreement that the amount to be paid back will equal $1000 plus $50 interest, with both principal repaid and interest multiplied by the percentage change in the consumer price index between this year and next. If the inflation rate turns out to be 40 percent, you will receive $1470; if it turns out to be 5 percent, you will receive $1102.50; and if the price level falls by 10 percent, you will only receive $945. In each case, the amount you receive will enable you to purchase $1050 worth of the bundle of today's goods that is used in constructing the consumer price index. You are guaranteed to receive 5 percent real interest, where "real" means measured in units of today's CPI bundle.

In the case above where the loan is indexed, the person borrowing the funds would also be protected because he/she only has to pay back the real value of what is borrowed at a reasonable realized real interest rate. Potential gains from unanticipated inflation are offset by protection from the loss that would occur if inflation is less than anticipated.

This principle of indexing can be (and is) applied in a wide variety of areas---income tax rates and old age security payments are indexed in the United States, for example, and civil servants' pensions are indexed in Canada.

Markets for indexed bonds, mortgages and other securities are frequently found in countries experiencing very substantial price level variability---where inflation rates may vary, for example, between 50 and 100 percent per year. We do not observe them in countries like the United States and Canada, however, where the maximum inflation rates experienced in the Post-War period have been less than 15 percent and the average inflation rate has probably been under 5 percent. Why is this?

One reason is that there are many different possible measures of the price level, depending on the bundle of goods used in calculating the price index. A suitable measure for one person might not be suitable for another. Unanticipated changes in relative prices through time will favor some individuals at the expense of others, depending on the bundle of goods they consume. Indexing using the CPI for example may hurt a particular borrower if the CPI falls but the bundle of items that person consumes nevertheless rises in price. Lenders, of course, can lose in a similar way.

Indexing thus carries its own risk to both lenders and borrowers. Both parties must expect that their risk of loss will be reduced, on average, if indexed contracts are to be widely entered into.

If, based on past experience, the unanticipated movements in the price level are likely to be small, the risks from indexing itself may be greater than the risks from unanticipated inflation. If unanticipated price level movements are large and frequent, however, the risks of unanticipated inflation or deflation will exceed the risks associated with adopting a particular index bundle and indexing will be worthwhile. Indexing is therefore more likely to be observed in countries which tend to experience a lot of price level variability and less likely in countries whose inflation rates have tended historically to be quite stable.

Now comes a test. Before looking at the answers provided, be sure and think up ones of your own.

Question 1
Question 2
Question 3

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