Function to get the interest rate

hi;
iam trying to develop a function to return te rate of a loan knowing the original ammount, monthly payment, term.
basically what i need is the same as rate function in excel but i cant find the matematical function to calculate the rate
thanks
orestes

I found this formula on http://www.fonerbooks.com/solving.htm
the guy borrowed 100,000 for the mortgage and is making monthly payments of $830.33 for 15 years
looks like to solve for the interest they take the equation
P / M = [ i(1 + i)^n ] / [ (1 + i)^n - 1]
and make a guess at the interest rate and keep incrementing until the two sides match (or are close)
anyway I did in sql starting with and interated .01% interest rate and and incrementing by .01% for
10000 iterations and I ordered by the smallest difference between the two sides of the equation
and came up with 5.75% which I believe is correct
WITH variables AS (    SELECT 100000 M,
                              830.33 P,
                              180 n,
                              LEVEL * .0001 i
                         FROM DUAL
                   CONNECT BY LEVEL <= 10000)
SELECT i * 100 || '%' interest_rate,
         P / M,
         ( (i / 12) * POWER ( (1 + (i / 12)), n))
         / (POWER ( (1 + (i / 12)), n) - 1)
    FROM variables
ORDER BY ABS (
          (P / M)
           - ( ( (i / 12) * POWER ( (1 + (i / 12)), n))
             / (POWER ( (1 + (i / 12)), n) - 1)))
INTEREST_RATE     P/M     ((I/12)*POWER((1+(I/12)),N))/(POWER((1+(I/12)),N)-1)
5.75%     0.0083033     0.00830410087019666
5.74%     0.0083033     0.00829874710327995
5.76%     0.0083033     0.00830945655888689
5.73%     0.0083033     0.00829339525864719
5.77%     0.0083033     0.00831481416883952
5.72%     0.0083033     0.00828804533680813
5.78%     0.0083033     0.00832017369954276
5.71%     0.0083033     0.00828269733827184
5.79%     0.0083033     0.00832553515048413you could probably make this better so it doesn't have to do all the iterations if you use a recursive with or the model clause
and stop when the difference between the two sides of the equation is less then some number.
Edited by: pollywog on Feb 18, 2011 3:11 PM

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The parameters taken by gettree & getoptpath are app_opt_id and app_id and both the functions return only one string i.e. the path of that particular option (app_opt_id) starting from its root and not all the descendants of that option/root node of that option.
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>
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