Amibroker AFL code for Black Scholes Option Pricing:
Script:
//——————————————————————————
// Formula Name: Black Scholes Option Pricing
// For more scripts, visit: www.marketsecrets.in
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// Black Scholes Option Pricing returns the Fair Value of call and put options.
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StockPrice = Param(“stockPrice”,81,1,200,1); //Stock Price
Timedays = Param(“DaysToExpire”,30,1,300,1); //Time to expiry ( days to exp/365 )
StrikePrice = Param(“StrikePrice”,75,1,300,1); //strike Price of Option to evaluate
InterestRate= Param(“InterestRate”,0.06,0.01,0.11,0.001); //prevailing interest rate
VKnown =Param(“Volatility”,0.30,0.10,0.50,0.001);//You can insert Known volatility here , Implied Volatility.
time=timedays/365;// days to expire conversion formula
x = (ln(stockPrice/strikePrice) + (interestrate + Vknown*Vknown/2)*time)/(Vknown*sqrt(time));
P = 0.2316419;
bb1 = 0.31938153;
bb2 = -0.3565638;
bb3 = 1.78147794;
bb4 = -1.821256;
bb5 = 1.33027443;
pi = 3.141592654; // PI
A2 = 1/sqrt(2*pi);
A3 = exp(-(x^2)/2);
y= a2*a3;
A4 = exp(-interestrate*time);
t1 = 1/(1+ P*x);
A5=(bb1*t1)+(bb2*t1^2) +( bb3*t1^3)+(bb4*t1^4)+(bb5*t1^5);
N = 1- y *A5 ;
X1=x-Vknown*sqrt(TIME);
y1=1/sqrt(2*pi);
N0=exp(-(x1^2)/2);
T2=1/(1+ P*X1);
A6=(bb1*t2)+(bb2*t2^2) +( bb3*t2^3)+(bb4*t2^4)+(bb5*t2^5);
A7=exp(-interestrate*time);
y2=y1*n0;
N2= 1-y2 * A6;
Call = stockPrice * N – strikePrice * A4 * N2;
Put = Call – stockprice + strikeprice*A7;
Filter = 1;
SetOption(“nodefaultcolumns”,1);
AddColumn(stockPrice,”AssetP”,2.2);
AddColumn(strikeprice,”StrikeP”,1.2);
AddColumn(InterestRate*100,”InterestRate%”,1.2);
AddColumn(VKnown*100,”Volatility%”,1.2);
AddColumn(timedays,”DaysToExpire “,1);
AddColumn(Call,”Call FV”,1.2);
AddColumn(put,”Put FV”,1.2);