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Can the Fully-Indexed Rate on an Adjustable Rate Mortgage Be Biased?

Can the Fully-Indexed Rate on an Adjustable Rate Mortgage Be Biased?

June 5, 2000

�I am considering two very similar 7% adjustable rate mortgages that adjust the rate every year.  The rate on one is tied to the 11th District Cost of Funds Index (COFI) with a 3% margin. The other rate is tied to the one-year Treasury index with a 2% margin.  Although the COFI loan has a larger margin, the index plus margin is lower.   Also, the COFI index has increased less during the last 6 months than the Treasury index.  I don�t expect rates to come down anytime soon, so I am leaning toward the COFI.   Is my logic sound?�

Your logic in comparing the index plus margin, called the �fully-indexed rate�, is sound.  But it is subject to a caveat that I will explain below.

On an adjustable rate mortgage (ARM ) with an initial interest rate that holds only for a short period, the fully-indexed rate is more important than the initial rate.   The fully-indexed rate indicates what will happen to the rate at the end of the initial rate period, which in your case is one year.

On May 24, when I checked the rates, the most recent value of the COFI was 5.00% while the one-year Treasury was at 6.29%.  Adding the margins of 3% and 2%, the fully-indexed rate was 8% for the COFI and 8.29% for the one-year Treasury. 

If you took a 7% ARM on May 24 and the rate indexes did not change during the following year, the rate on the COFI ARM would rise to 8%, and the rate on the one-year Treasury would rise to 8.29%.  This is your reason for preferring the COFI.

Unfortunately, it is not that simple. 

If the Treasury index stays at 6.29% over the next year, the COFI index would rise.  That�s because as of May 24, the COFI index did not fully reflect the increase in market rates that has occurred since the beginning of this year.  The rise in COFI could easily eliminate the .29% difference in fully adjusted rates by the end of the year.

The COFI is a monthly index that lags the market.  Part of this is simply a reporting lag.  On May 24, the most recent COFI value was 5.00%, but it was for March.  Treasury indexes are available on a daily basis, and the 6.29% value available on May 24 was for May 22. 

COFI also is subject to a market adjustment lag.  It is an average of the interest rates paid by west coast savings institutions on all their fund sources� transaction accounts, savings deposits, certificates of deposit, and borrowings of various types.  When market rates change, the rates on these fund sources adjust slowly.  The rates on certificates of deposit, for example, change only as new certificates are written at higher rates while the older ones carrying lower rates mature.

The Treasury indexes, in contrast, always reflect the current market because they are affected by what investors are willing to pay at the moment when they buy or sell.   Some observers would say they are the market.

Some investment bankers have developed COFI forecasting models for investors.   The models estimate how past and projected future changes in market rates will affect future COFI values.  This type of information is not available to consumers.

Because of the reporting and market adjustment lags, the COFI index is much less volatile then Treasury indexes.  This is a reason for borrowers to prefer it, assuming other features of the ARM are the same.  But the lags that stabilize COFI also make it difficult to compare fully indexed rates of COFI ARMs with ARMs tied to Treasury and similar indexes.

For this reason, borrowers should compare fully indexed rates only among ARMs using the same or similar type of index.  You can compare one COFI ARM with another, or with a similar COSI (cost of savings index) ARM.  Treasury and LIBORindexes are also comparable.  12 MTA, which is a 12-month average of one-year Treasury securities, is a hybrid measure that is most comparable to COFI.

Copyright Jack Guttentag 2002

 

Jack Guttentag is Professor of Finance Emeritus at the Wharton School of the University of Pennsylvania. Visit the Mortgage Professor's web site for more answers to commonly asked questions.

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