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by PierreG
June 7th, 2011, 3:02 pm
Forum: Numerical Methods Forum
Topic: Monte Carlo Path-Dependent Intuition
Replies: 7
Views: 25284

Monte Carlo Path-Dependent Intuition

<t>About TARNs, the "custom" is important. For simple TARNs, we can indeed augment the PDE as said in the article (which I did not know, thanks for the link). I know there is a similar trick for Asian options. But if the TARN condition and the Payoff become very bespoke (structurers like having fun)...
by PierreG
June 6th, 2011, 7:23 pm
Forum: Numerical Methods Forum
Topic: Monte Carlo Path-Dependent Intuition
Replies: 7
Views: 25284

Monte Carlo Path-Dependent Intuition

<t>Just in addition to Cuch's answer, I would say that MC is the only feasible solution for:- high dimensional problem (both for computation time and numerical convergence reasons)- general path dependent payoff (custom TARN for instance)- model explicitly designed for MCIn order to price financial ...
by PierreG
January 25th, 2011, 10:23 am
Forum: General Forum
Topic: Vladimir Piterbarg RISK Quant of the Year---Again ?
Replies: 12
Views: 31094

Vladimir Piterbarg RISK Quant of the Year---Again ?

<t>Congratulations, Vladimir! The book is indeed really interesting.FrenchX, Andreasen has co-authored several papers with Andersen and Madan has co-authored one of Carr's most famous papers (FFT). And if you are interested in Monte Carlo, Glasserman's book can be precious.I think the price started ...
by PierreG
January 6th, 2011, 9:11 pm
Forum: Student Forum
Topic: double heston
Replies: 5
Views: 25629

double heston

Sorry for seeing this thread quite late. As Antonio said, there are indeed 2 versions of the double Heston. Buehler's version is in 3D but the version we considered is in 4D. Hence we used Monte Carlo for numerical simulation.
by PierreG
November 30th, 2010, 4:51 pm
Forum: Programming and Software Forum
Topic: Boost Include directory SOLVES A FUNDAMENTAL PROBLEM
Replies: 9
Views: 22864

Boost Include directory SOLVES A FUNDAMENTAL PROBLEM

.vsprops (Property sheets) are quite useful for setting properties which are common to several projects. For my projects, I use one debug.vsprops and one release.vsprops which manage 99% of the properties. Projects may redefine the properties if needed
by PierreG
November 23rd, 2010, 1:38 pm
Forum: Technical Forum
Topic: Inference of SABR parameters
Replies: 1
Views: 23745

Inference of SABR parameters

<t>Well, the whole point of SABR is to capture the smile and beta is not the only one to be involved.Beta enables to move from lognormal to normal distributions (if you assume beta in [0,1], which is not always the case). Beta's role is actually not trivial, it controls the backbone of the smile.Sig...
by PierreG
September 26th, 2010, 7:31 pm
Forum: Programming and Software Forum
Topic: Tiny C++ brainteaser
Replies: 68
Views: 49790

Tiny C++ brainteaser

<t>Can someone explain me that one (on Polter's website):3.3: I've experimented with the code int i = 2; i = i++;on several compilers. Some gave i the value 2, some gave 3, but one gave 4. I know the behavior is undefined, but how could it give 4?Because i is 2, the loop is executed twice. << ??? wh...
by PierreG
September 26th, 2010, 5:01 pm
Forum: Programming and Software Forum
Topic: Tiny C++ brainteaser
Replies: 68
Views: 49790

Tiny C++ brainteaser

<t>Found on a perl forum. Seems that this code is unreadable for both the programmer and the compiler.=======================================In my experience, C and C++ compilers differ. Take the code:int x = 0;printf("%d %d %d\n",++x,++x,++x);A similar line in Perl (allowing for syntax differences)...
by PierreG
September 26th, 2010, 8:15 am
Forum: Programming and Software Forum
Topic: Tiny C++ brainteaser
Replies: 68
Views: 49790

Tiny C++ brainteaser

<t>There are few things involved here:- arguments are evaluated from right to left- all arguments are evaluated before calling the function- ++i increments i and passes the current value of i when the function is called (may have changed meanwhile)- i++ increments i and passes the "old" value of i (...
by PierreG
September 23rd, 2010, 2:50 pm
Forum: Technical Forum
Topic: urgent help needed please.
Replies: 19
Views: 26349

urgent help needed please.

<t>5- brute force one:there are 1000*2^10 possibilities in your universe (1000 coins * 2^10 flip sequences).2^10 + 999 are only heads and 2^10 are with the two-headed coin.So the probability is 2^10/(2^10+999).smarter one:P(A|B) = P(A and B)/P(B) where A = the random coin is the two headed coin and ...
by PierreG
August 27th, 2010, 9:31 am
Forum: Technical Forum
Topic: Basic FX Option pricing
Replies: 36
Views: 35175

Basic FX Option pricing

Almost all there is to be known on FX smile can be found in this article. Very detailed regarding the different conventions and how it affects the smile construction.
by PierreG
August 25th, 2010, 6:48 am
Forum: Technical Forum
Topic: swaption pricing using SABR
Replies: 2
Views: 29806

swaption pricing using SABR

<t>The two solutions are possible.- If F is the forward rate, you may need to look at the LMM-SABR model, as proposed here (there exist some other SABR-LMM models)- If F is the swap rate, you indeed have to build a swaption volatility matrix. This would be an interesting reference.The first approach...
by PierreG
August 5th, 2010, 11:57 am
Forum: Technical Forum
Topic: problem in SABR parameter calculation
Replies: 5
Views: 28986

problem in SABR parameter calculation

<t>Hi,Indeed the calibration depends on the interpolation method that you use to compute the slope at the money.In practice, if you have several market quotes, any reasonably smooth interpolation technique may be OK (or even linear). Remember this is only a heuristic to find an appropriate nu. You s...
by PierreG
August 2nd, 2010, 10:19 am
Forum: Numerical Methods Forum
Topic: Mandelbrot's measure of the roughness of Brownian motion
Replies: 18
Views: 32979

Mandelbrot's measure of the roughness of Brownian motion

Lung > Brain >Broccoli > Cauliflower > Brownian Motion > Norway > Wiener process > Great-Britain > Cantor setI like this ranking.
by PierreG
August 2nd, 2010, 8:27 am
Forum: Technical Forum
Topic: How could I calculate implied vol ASAP??
Replies: 2
Views: 26194

How could I calculate implied vol ASAP??

Have a look at this thread (oops not on Wilmott ...). Jackel's algo works very well. I haven't tried Axel's improvements yet. Maybe he can tell you more about it.