BCC {BCC1997}

Calculation of Option Prices Based on a Universal Solution

Description

This is a function to calculate the prices of European options based on the universal solution provided by Bakshi, Cao and Chen (1997) <doi:10.1111/j.1540-6261.1997.tb02749.x>. This solution takes stochastic volatility, stochastic interest and random jumps into consideration. Please cite their work if this package is used.

Usage

BCC(kappav, kappar, thetav, thetar, sigmav, sigmar, muj, sigmaj, rho, lambda,
  S0, K, V0, R0, t)

Arguments

kappav

Speed of convergence on variance

kappar

Speed of convergence on risk free rate

thetav

Long-term variance

thetar

Long-term risk free rate

sigmav

Volatility of variance

sigmar

Volatility of risk free rate

muj

Jump size

sigmaj

Volatility of jumps

rho

Correlation between underlying price and variance

lambda

Jump intensity

S0

Initial/Current underlying price

K

Strike price

V0

Initial/Current variance

R0

Initial/Current risk free rate

t

Time to maturity

Value

Call: return the price of the European call oprion

Put: return the price of the European put oprion

Note

Please notice each parameter has its "reasonable range". e.g. volatilities cannot be zero or smaller than zero, please input 0.0000001 when they are zero.

Examples

BCC(kappav=0,kappar=0,thetav=0,thetar=0,sigmav=0.0000001,sigmar=0.0000001,muj=0,
         sigmaj=0.0000001,rho=0,lambda=0,S0=100,K=100,V0=0.04,R0=0.01,t=1)
BCC(kappav=0.5,kappar=0,thetav=0.025,thetar=0,sigmav=0.09,sigmar=0.0000001,muj=0,
         sigmaj=0.0000001,rho=0.1,lambda=0,S0=100,K=100,V0=0.04,R0=0.01,t=1)