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exp10 (3)
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    NAME
         exp2, exp10, log2, compound, annuity  -  exponential,  loga-
         rithm, financial
    
    SYNOPSIS
         cc [ flag ... ] file ...  -lsunmath -lm [ library ... ]
    
         #include <sunmath.h>
    
         double exp2(double x);
    
         double exp10(double x);
    
         double log2(double x);
    
         double compound(double r, double n);
    
         double annuity(double r, double n);
    
    DESCRIPTION
         exp2() and exp10() return 2**x and 10**x respectively.
    
         log2() returns the logarithm to base 2.
    
         compound() and annuity() are functions important  in  finan-
         cial computations of the effect of interest at periodic rate
         r over n periods.  compound(r,n) computes (1+r)**n, the com-
         pound  interest  factor.  Given an initial principal P0, its
         value after n  periods  is  just  Pn  =  P0  *compound(r,n).
         annuity(r,n)  computes  (1 - (1+r)**-n)/r, the present value
         of annuity factor.   Given  an  initial  principal  P0,  the
         equivalent  periodic  payment is just p = P0 / annuity(r,n).
         compound() and annuity()  are  computed  using  log1p()  and
         expm1()  to  avoid gratuitous inaccuracy for small-magnitude
         r.  compound() and annuity() are not defined for r <= -1.
    
         Thus a principal amount P0 placed at 5% annual interest com-
         pounded quarterly for 30 years would yield
    
              P30 = P0 * compound(.05/4, 30.0 * 4)
    
         while a conventional fixed-rate 30-year home loan of  amount
         P0 at 10% annual interest would be amortized by monthly pay-
         ments in the amount
    
              p = P0 / annuity(.10/12, 30.0 * 12).
    
    
    SEE ALSO
         exp(3M)
    
    
    


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