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Dowd (version 0.12)

BlackScholesCallESSim: ES of Black-Scholes call using Monte Carlo Simulation

Description

Estimates ES of Black-Scholes call Option using Monte Carlo simulation

Usage

BlackScholesCallESSim(amountInvested, stockPrice, strike, r, mu, sigma, maturity, numberTrials, cl, hp)

Arguments

amountInvested
Total amount paid for the Call Option and is positive (negative) if the option position is long (short)
stockPrice
Stock price of underlying stock
strike
Strike price of the option
r
Risk-free rate
mu
Expected rate of return on the underlying asset and is in annualised term
sigma
Volatility of the underlying stock and is in annualised term
maturity
The term to maturity of the option in days
numberTrials
The number of interations in the Monte Carlo simulation exercise
cl
Confidence level for which ES is computed and is scalar
hp
Holding period of the option in days and is scalar

Value

ES

References

Dowd, Kevin. Measuring Market Risk, Wiley, 2007.

Lyuu, Yuh-Dauh. Financial Engineering & Computation: Principles, Mathematics, Algorithms, Cambridge University Press, 2002.

Examples

Run this code
# Market Risk of American call with given parameters.
   BlackScholesCallESSim(0.20, 27.2, 25, .16, .2, .05, 60, 30, .95, 30)

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