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The LOAN Procedure

Analyzing Adjustable Rate Loans

In addition to specifying the basic loan parameters, you need to specify the terms of the rate adjustments for an adjustable rate loan. There are many ways of stating the rate adjustment terms, and PROC LOAN facilitates all of them. For details, see the "Rate Adjustment Terms Options" in the "ARM Statement" section later in this chapter.

Assume that you have an alternative to finance the $100,000 investment with a 15-year adjustable rate loan with an initial annual nominal interest rate of 5.5%. The rate adjustment terms specify a 0.5% annual cap, a 2.5% life cap, and a rate adjustment every 12 months. Annual cap refers to the maximum increase in interest rate per adjustment period, and life cap refers to the maximum increase over the life of the loan. The following ARM statement specifies this adjustable rate loan assuming the interest rate adjustments will always increase by the maximum allowed by the terms of the loan. These assumptions are specified by the WORSTCASE and CAPS= options, as shown in the following statements:

   proc loan start=1998:12;
      arm amount=100000 rate=5.5 life=180 worstcase
          caps=(0.5, 2.5)
          label='BANK3, Adjustable Rate';
   run;

List of Rates and Payments for Adjustable Rate Loans

The "List of Rates and Payments" in the loan summary table for the adjustable rate loans reflects the changes in the interest rates and payments, as well as the dates these changes become effective. For the adjustable rate loan described previously, Figure 13.3 shows the "List of Rates and Payments" indicating five annual rate adjustments in addition to the initial rate and payment.

The LOAN Procedure

Rates and Payments for BANK3, Adjustable Rate
Date Nominal Rate Effective Rate Payment
DEC1998 5.5000% 5.6408% 817.08
JAN2000 6.0000% 6.1678% 842.33
JAN2001 6.5000% 6.6972% 866.44
JAN2002 7.0000% 7.2290% 889.32
JAN2003 7.5000% 7.7633% 910.88
JAN2004 8.0000% 8.3000% 931.03

Figure 13.3: List of Rates and Payments for an Adjustable Rate Loan

Notice that the periodic payment of the adjustable rate loan as of January 2004 ($931.03) exceeds that of the fixed rate loan ($927.01).

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