arithavgpricecv {derivmkts} R Documentation

## Control variate asian call price

### Description

Calculation of arithmetic-average Asian call price using control variate Monte Carlo valuation

### Usage

arithavgpricecv(s, k, v, r, tt, d, m, numsim)


### Arguments

 s Price of underlying asset k Strike price of the option. In the case of average strike options, k/s is the multiplier for the average v Volatility of the underlygin asset price, defined as the annualized standard deviation of the continuously-compounded return r Annual continuously-compounded risk-free interest rate tt Time to maturity in years d Dividend yield, annualized, continuously-compounded m Number of prices in the average calculation numsim Number of Monte Carlo iterations

### Value

Vector of the price of an arithmetic-average Asian call, computed using a control variate Monte Carlo calculation, along with the regression beta used for adjusting the price.

Other Asian: arithasianmc(), asiangeomavg, geomasianmc()
s=40; k=40; v=0.30; r=0.08; tt=0.25; d=0; m=3; numsim=1e04