risk.hedge: Computes optimal hedging ratios based on risk measures

Description Usage Arguments Value Examples

Description

Determines optimal hedging ratios based on risk measures (StD, VaR, EL, ELD, ES, SDR, EVaR, DEVaR, ENT, DENT, ML) by minimization of position risk.

Usage

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risk.hedge(x, y, alpha = c(0.05), beta = 1, p = 2)

Arguments

x

a vector of observations.

y

a vector of observations of the asset used for hedging.

alpha

a vector of probabilities for significance level.

beta

a positive risk aversion parameter.

p

a positive value for the power of deviation terms.

Value

A matrix with values of optimal hedging ratios for each risk measure at all probabilities of interest.

Examples

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## computes optimal hedging ratios between AAPL and SP500.

data(returns)
s <- returns[, 3]
h <- returns[, 2]
risk.hedge(s, h, c(0.01, 0.05))


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