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by Shtrauss
November 3rd, 2011, 3:24 am
Forum: Technical Forum
Topic: simple question: GOP in Real World Pricing
Replies: 3
Views: 17883

simple question: GOP in Real World Pricing

worked out thanks)))
by Shtrauss
November 2nd, 2011, 12:24 am
Forum: Technical Forum
Topic: simple question: GOP in Real World Pricing
Replies: 3
Views: 17883

simple question: GOP in Real World Pricing

<t>Hi I am pricing an option using GOP as numeraire. i havevalue of the option at time t is V(t) = S*(t) E{ V(T)/S*(T) | F(t)}where: S* is the GOP, V(T) is a well-defined payoff of the option at maturity T and F(t) is filtration up to time t and expectation wrt real world probability measure P where...
by Shtrauss
August 18th, 2011, 10:21 pm
Forum: Technical Forum
Topic: VaR Optimisation
Replies: 6
Views: 19169

VaR Optimisation

<t>Thank you for the replies and for the referenced papers.I was looking at two papers primarily: the Rockafellar&Uryasev(2000) which @eh has mentioned and Deb et al (2000a,b). So, I have access to methodology, just was hoping to see if anyone knew of a package/library which was already implemen...
by Shtrauss
August 18th, 2011, 5:40 am
Forum: Technical Forum
Topic: VaR Optimisation
Replies: 6
Views: 19169

VaR Optimisation

<t>HiWondering if anyone is aware of an implemented portfolio optimisation algorithm which would deal with a VaR objective function.The purpose is to produce a Mean - Value at Risk efficient frontier for a portfolio of non-Normally distributed underlying assets (heavy kurtosis and skew so cant get a...
by Shtrauss
April 13th, 2011, 12:31 am
Forum: Technical Forum
Topic: Pricing options with default risk
Replies: 6
Views: 22872

Pricing options with default risk

<t>HIhave a look at:Simon, S. (2005) Can Interest Rate Dynamics Save Structural Models? -- for an example of a structural modeland maybe:Bernard, C., Le Courtois, O. and Quittard-Pinon, F. (2008) PricingDerivatives with Barriers in a Stochastic Interest Rate Environment Journal ofEconomic Dynamics &...
by Shtrauss
April 8th, 2011, 5:02 am
Forum: Technical Forum
Topic: Translating nonlinear to linear constraint
Replies: 2
Views: 21273

Translating nonlinear to linear constraint

Excellent, will def try to implement this!! my dimension is only small, so suits the purpose perfectlyThanks a lot!!! (btw, takes 130 milliseconds in 6 dimensions)
by Shtrauss
April 6th, 2011, 6:00 am
Forum: Technical Forum
Topic: Translating nonlinear to linear constraint
Replies: 2
Views: 21273

Translating nonlinear to linear constraint

<t>HIis it possible to represent the constraint(1) SUM{x(i)*I(x(i)>0)}<1in the form(2) SUM{a(i)*x(i)}<bwhere x(i) are variables on [-1,1], a(i) and b are real, and we are allowed to represent (1) with several equations of the type (2), and I(.) is an indicator function for event (.).if this is impos...
by Shtrauss
July 23rd, 2010, 2:51 am
Forum: Technical Forum
Topic: eigendecomposition property
Replies: 5
Views: 26744

eigendecomposition property

fixed.thanks Orbit and everyone who's looked at this..trouble was in the notation,,, so diag(max(eigen_i,0)) meanssay, in R,diag(eigen_i*(eigen_i>0))for a vector of eigenvalues eigen_i
by Shtrauss
July 23rd, 2010, 12:51 am
Forum: Technical Forum
Topic: eigendecomposition property
Replies: 5
Views: 26744

eigendecomposition property

<t>here is the paper:[link to paper]maybe i am misreading the notation?i am interpreting max(eigenvalues,0) as "the maximum of the largest eigenvalue and zero" and diag(max(eigenvalues,0)) as the diagonal matrix with *that* value on the diagonal(so say for negative maximum eigenvalue you will get a ...
by Shtrauss
July 22nd, 2010, 11:43 pm
Forum: Technical Forum
Topic: eigendecomposition property
Replies: 5
Views: 26744

eigendecomposition property

<t>hello,i am looking at a published paper which states that for a symmetric square matrix A and its spectral decomposition A = Q*D*t(Q) : D = diag(eigenvalues) and Q orthogonal,we should have "A-" = Q*diag(max(eigenvalues,0))*t(Q) and "A+" = Q*diag(min(eigenvalues,0))*t(Q)with "A-" + "A+" = Ahoweve...
by Shtrauss
June 14th, 2010, 10:43 am
Forum: Student Forum
Topic: simple q about Ito's lemma
Replies: 5
Views: 27919

simple q about Ito's lemma

<t>thank you manolom and list,@manolom : so you rkn the differential for the ito integral "Integral[0,t]{a(s)dW(s)}" is a(t)dW(t)? sorry im like a total noob in stochastic calculus..@list: thanks! im still looking for the formula, might give my librray a call tomorow for that Lazrieva and Toronjadze...
by Shtrauss
June 14th, 2010, 5:29 am
Forum: Student Forum
Topic: simple q about Ito's lemma
Replies: 5
Views: 27919

simple q about Ito's lemma

<t>hi, my question is -- if we differentiate a function of an Ito process X(t) and t with Ito's lemma, can that function involve stochastic terms? can these stochastic terms be correlated to X(t)?specifically, i want to differentiate f:f{X(t),t} = X(t) + integral[0,t]{a(t)dW} + b(t)where a(t) and b(...
by Shtrauss
June 14th, 2010, 1:45 am
Forum: Student Forum
Topic: calculate correlation
Replies: 3
Views: 28793

calculate correlation

nice thank you!!!
by Shtrauss
June 14th, 2010, 1:45 am
Forum: Student Forum
Topic: calculate correlation
Replies: 3
Views: 28793

calculate correlation

nice thank you!!!
by Shtrauss
May 14th, 2010, 1:17 am
Forum: Student Forum
Topic: calculate correlation
Replies: 3
Views: 28793

calculate correlation

hello, i have a small (general) question, -- if the brownian motions W1 and W2 have zero correlation, are the Ito integrals wrt these BM's correlated? why or why not?thanks!!
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