Investigating the Cloud Computing Business Framework (CCBF ...
Investigating the Cloud Computing Business Framework (CCBF ...
Investigating the Cloud Computing Business Framework (CCBF ...
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Appendix: An example in Black Scholes Model (BSM)<br />
%----------- Enter input Parameters -----------------------<br />
S=100; %Spot price<br />
K=100; %Strike<br />
UB=115; %upper boundary<br />
r=0.15; %risk free rate<br />
T=.5; %maturity<br />
sigma=0.2; %volatility<br />
D=0.05; %dividend yield<br />
assetsteps=150; %Explicit scheme time steps<br />
%----------------------------------------------------<br />
dt=1/(sigma*assetsteps)^2;<br />
timesteps=ceil(T/dt)+1;<br />
Su=UB;<br />
ds=Su/assetsteps;<br />
dt=T/timesteps;<br />
for k=1:timesteps,<br />
V(2:assetsteps,k+1)=Ai.*V(1:assetsteps-<br />
1,k)+(1+Bi).*V(2:assetsteps,k)+Ci.*V(3:assetsteps<br />
+1,k);<br />
%Apply lower boundary condition<br />
V(1,k+1)=0;<br />
%apply upper boundary condition<br />
V(assetsteps+1,k+1)=0;<br />
end<br />
V2=fliplr(V);<br />
OptionPriceVec=V2(:,1);<br />
option_price=interp1(Svec,OptionPriceVec,S)<br />
V=zeros(assetsteps+1,timesteps+1);<br />
Svec=0:ds:Su;<br />
Svec=Svec';<br />
V(:,1)=max((Svec-K).*(Svec