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"Life Cycle" Hypothesis of Saving: Aggregate ... - Arabictrader.com

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Long-Term Financing in an Inflationary Environment 285<br />

ment in the early years and underpayment toward maturity. The initial overpayment<br />

can be quite large even with moderate inflation. To illustrate, with a real<br />

rate <strong>of</strong> 5 percent and a rate <strong>of</strong> inflation <strong>of</strong> 10 percent, the nominal rate trebles<br />

from 5 percent to 15 percent, and for a long-term mortgage (say 30 years) the<br />

initial payment nearly trebles in real terms. Of course, these high payments are<br />

made up by much lower payments toward the end <strong>of</strong> the contract, but this is no<br />

<strong>com</strong>pensation, at least for buyers who have cash constraints and can look forward<br />

to more in<strong>com</strong>e as they get older. Many such people will be frozen out <strong>of</strong> buying<br />

a house or at least one <strong>com</strong>mensurate with what they can afford in terms <strong>of</strong> life<br />

in<strong>com</strong>e.<br />

Another problem is that high (and variable) inflation leads to high and uncertain<br />

interest rates. This is especially serious when long-term mortgages are<br />

financed from short-run deposits as has been the case for the United States. The<br />

mismatch <strong>of</strong> maturities implies high risk <strong>of</strong> losses and probability <strong>of</strong> bankruptcy<br />

which is precisely what happened to the <strong>Saving</strong> and Loan industry in the U.S.—<br />

they lent very long and financed it with very short liabilities in a period <strong>of</strong> rising<br />

interest rates.<br />

To avoid this mismatch problem one must lengthen the duration <strong>of</strong> the liabilities<br />

or shorten the maturity <strong>of</strong> the assets. Lengthening the liabilities has little<br />

chance, at least in the U.S., as the S&L industry’s role has been that <strong>of</strong> <strong>of</strong>fering<br />

a liquid short-term asset. As for shortening assets, nothing can be done directly<br />

since a mortgage, by nature, requires a long maturity. However, it is possible to<br />

shorten the relevant measure <strong>of</strong> duration <strong>of</strong> the mortgage, by replacing the traditional<br />

fixed long rate with a rate floating with a short-period rate (say a one year),<br />

reset at the termination <strong>of</strong> each period (one year). From the point <strong>of</strong> view <strong>of</strong><br />

matching maturities this instrument has the same maturity as the short rate on<br />

which it is floating. Each time the interest rate is reset the periodic payment is<br />

recalculated using the new rate, the debt balance carried over, and the remaining<br />

years to maturity.<br />

This approach <strong>of</strong>fers an effective but partial solution to the maturity mismatch<br />

problem. It has been utilized fairly extensively in the U.S. under the name <strong>of</strong><br />

Adjustable Rate Mortgage (ARM), and in other countries with middling rates <strong>of</strong><br />

inflation, like the U.K. However, it suffers from two serious drawbacks. The first<br />

and most serious is that the approach does not remedy or improve the major<br />

problem <strong>of</strong> the tilting <strong>of</strong> the real repayment schedule. That problem depends on<br />

the early (real) payments rising with inflation because inflation raises nominal<br />

interest rates. With the ARM, the interest on which payments are <strong>com</strong>puted is a<br />

nominal market rate (though a short-term one) and will therefore also rise with<br />

inflation, tilting the payment schedule just as much as a conventional mortgage.<br />

Thus the ARM, though it may be <strong>of</strong> considerable help in solving the lenders

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