Help Understanding Formula -Interest Rate Calculation

MATHHELP_2010

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Sep 25, 2010
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Interest Rate Calculation:
The formula provided was as follows: R = In[1/(1-D*N/360)]/(N/365)
R = In[1/(1-.01311666666667 *35/360)] / (35/365)

D = .01311666666667
N = 35

The answer should be 0.13307329.. However when I go thru the calcuatlons I can't come up with this answer. Is the "In" mean to take the inverse or is the order in which I am computing wrong ? My answer is a value of 10.4418873 ? (1/(1-(.01311666666667*35) /360)) / (35/365) = 10.4418873 ? what do you do next ?
 
MATHHELP_2010 said:
Interest Rate Calculation:
The formula provided was as follows: R = In[1/(1-D*N/360)]/(N/365)
R = In[1/(1-.01311666666667 *35/360)] / (35/365)

D = .01311666666667
N = 35

The answer should be 0.13307329.. However when I go thru the calcuatlons I can't come up with this answer. Is the "In" mean to take the inverse or is the order in which I am computing wrong ? My answer is a value of 10.4418873 ? (1/(1-(.01311666666667*35) /360)) / (35/365) = 10.4418873 ? what do you do next ?

"ln" is short for "log natural" defined by:

If

\(\displaystyle a \ = \ ln(b)\)

then

\(\displaystyle b \ = \ e^a\)
 
Do you not have a "ln" key on your calculator?

R = In[1/(1-.01311666666667 *35/360)] / (35/365)

Go this way:
k = 1/(1-.01311666666667 *35/360)
Then:
R = ln(k) / (35/365)
 
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