LognormalMoments2Parameters: Computes the mean and standard deviation of a lognormal...

Description Usage Arguments Value Note Author(s) References

Description

Computes the mean and standard deviation of a lognormal distribution from its parameters, as described in A. Meucci, "Risk and Asset Allocation", Springer, 2005.

σ^{2} = \ln ≤ft( 1 + \frac{V}{E^{2}} \right) ,

μ = \ln(E) - \frac{1}{2} \ln ≤ft( 1 + \frac{V}{E^{2}} \right) .

Usage

1

Arguments

e

[scalar] expected value of the lognormal distribution

v

[scalar] variance of the lognormal distribution

Value

mu [scalar] expected value of the normal distribution

sig2 [scalar] variance of the normal distribution

Note

Inverts the formulas (1.98)-(1.99) in "Risk and Asset Allocation", Springer, 2005.

Author(s)

Xavier Valls flamejat@gmail.com

References

A. Meucci - "Exercises in Advanced Risk and Portfolio Management" http://symmys.com/node/170, "E 25 - Simulation of a lognormal random variable".

See Meucci's script for "LognormalMoments2Parameters.m"


R-Finance/Meucci documentation built on May 8, 2019, 3:52 a.m.