
The `LOGINV` function in Excel is used to calculate the inverse of the lognormal distribution. It is useful when you want to find the value, ( x ), for a given probability, mean, and standard deviation of the logarithm of ( x ).
The syntax for the `LOGINV` function is:
LOGINV(probability, mean, standard_dev)
Where:
- probability: This is the probability corresponding to the lognormal distribution. It should be a value between 0 and 1.
- mean: This is the mean of the natural logarithm of the distribution (often referred to as the mean of ln(x)).
- standard_dev: This is the standard deviation of the natural logarithm of the distribution (the standard deviation of ln(x)).
Example
Suppose you want to use the `LOGINV` function to find a value given:
- A probability of 0.9
- A mean of 0
- A standard deviation of 1
You would enter the following formula in an Excel cell:
=LOGINV(0.9, 0, 1)
This will return the inverse value of the lognormal distribution given the specified parameters.
Important Considerations
- The `LOGINV` function assumes that the logarithm of the variable is normally distributed.
- The `LOGINV` function is available in versions of Excel up to 2010. In Excel 2010 and later, the `LOGINV` function has been replaced by the `LOGNORM.INV` function, which serves the same purpose but follows more consistent naming conventions with other statistical functions.
- It is often used in simulations and financial models where you need to estimate possible future outcomes based on past variance and returns data.
When using `LOGINV`, ensure your data is appropriate for a lognormal distribution and that your probability values are valid (0 < probability < 1).