AmericanBinomCall

Purpose

Prices American call options using the binomial method.

Format

c = AmericanBinomCall(S0, K, r, div, tau, sigma, N)
Parameters:
  • S0 (Scalar) – Current price.
  • K (Mx1 vector) – Strike prices.
  • r (Scalar) – Risk free rate.
  • div (Scalar) – Continuous dividend yield.
  • tau (Scalar) – Elapsed time to exercise in annualized days of trading.
  • sigma (Scalar) – Volatility.
  • N (Scalar) – The number of time segments. A higher number of segments will increase accuracy at the cost of computation time.
Returns:

c (Mx1 vector) – Call premiums.

Examples

S0 = 718.46;
K = { 720, 725, 730 };
r = .0498;
sigma = .2493;

t0 = dtday(2001, 1, 30);
t1 = dtday(2001, 2, 16);
tau = elapsedTradingDays(t0, t1) /
    annualTradingDays(2001);

c = AmericanBinomCall(S0, K, r, 0, tau, sigma, 60);
print c;

produces the output:

17.246407
14.973715
12.745272

Remarks

The binomial method of Cox, Ross, and Rubinstein (“Option pricing: a simplified approach,” Journal of Financial Economics, 7:229:264) as described in Options, Futures, and other Derivatives by John C. Hull is the basis of this procedure.

Source

finprocs.src