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by LordR
September 28th, 2007, 5:43 pm
Forum: Numerical Methods Forum
Topic: Option Pricing with FFT using Matlab
Replies: 6
Views: 72834

Option Pricing with FFT using Matlab

<t>I'm not going to debug your code but you might check some easy things:* First moment equals forward of stock from your characteristic function* Do you price back the forward via Carr-Madan (if you let the strike tend to 0 ... etc.)* Why don't you just use the integration functions of Matlab direc...
by LordR
August 16th, 2007, 11:12 am
Forum: Numerical Methods Forum
Topic: Complex analysis of the characteristic function in Affine Jump Diffusion models?
Replies: 8
Views: 70416

Complex analysis of the characteristic function in Affine Jump Diffusion models?

<t>The solution to your ODE is guaranteed to be smooth, so you have none of the branch-cut problems you'd have with closed-form characteristic functions. Only problems are that your solution may blow up (due to the non-existence of a certain moment), but that can be checked by analysing your moment-...
by LordR
August 16th, 2007, 11:09 am
Forum: Numerical Methods Forum
Topic: how to find the coefficient for Stochastic Volatility Model by numerical methods
Replies: 1
Views: 67516

how to find the coefficient for Stochastic Volatility Model by numerical methods

By calculating F1 and F2 - search through the forum, e.g. on Carr, Madan.
by LordR
July 30th, 2007, 10:40 am
Forum: Student Forum
Topic: Negative Interest rates
Replies: 10
Views: 70330

Negative Interest rates

Interest rates can be negative e.g. if there is only electronic money...
by LordR
July 30th, 2007, 10:15 am
Forum: Numerical Methods Forum
Topic: Heston Monte Carlo: Exact vs Approximate Simulation
Replies: 25
Views: 149512

Heston Monte Carlo: Exact vs Approximate Simulation

<r>tontonkum:> 4) Be careful when manipulating complex logarithms, you could get some bad surprises > (but i guess Broadie and Kaya are dealing with that)If the characteristic function is evaluated in the right way, the complex logarithm poses no problem here:<URL url="http://papers.ssrn.com/abstrac...
by LordR
July 24th, 2007, 2:25 pm
Forum: Numerical Methods Forum
Topic: acceptance/rejection methods and quasi numbers
Replies: 9
Views: 69939

acceptance/rejection methods and quasi numbers

And thank you for a reference I hadn't found yet! Looks useful...
by LordR
July 24th, 2007, 11:57 am
Forum: Numerical Methods Forum
Topic: acceptance/rejection methods and quasi numbers
Replies: 9
Views: 69939

acceptance/rejection methods and quasi numbers

Yes - don't use them 'Just' invert the cdf...
by LordR
July 23rd, 2007, 12:19 pm
Forum: Numerical Methods Forum
Topic: Numerical Methods for Pricing American Options under Heston
Replies: 5
Views: 70552

Numerical Methods for Pricing American Options under Heston

<t>Hey Tibbar,> My worry with this approach is numerical accuracy, as the FFT tends to misbehave at boundary points, plus the FFT is not that quick when you are dealing with integrals going> to infinity.If you look at the paper, the numerical accuracy of the examples considered is actually quite fin...
by LordR
July 11th, 2007, 3:29 pm
Forum: Technical Forum
Topic: barrier shifting/bending
Replies: 12
Views: 81332

barrier shifting/bending

Also, when you're running a book you're not going to be reviewing each trade whenever you hedge,so you'd like this rule-of-thumb to be applied automatically - entering a barrier shift is one way of doing this.Just overcharging upfront won't do the trick.
by LordR
June 27th, 2007, 7:28 am
Forum: Numerical Methods Forum
Topic: Drift in Monte Carlo Simulation
Replies: 6
Views: 72827

Drift in Monte Carlo Simulation

Search for Benninga on the forum... this question has come up before.
by LordR
June 25th, 2007, 5:36 pm
Forum: Technical Forum
Topic: Branch cut and complex integration in Fourier based pricing methods?
Replies: 2
Views: 70521

Branch cut and complex integration in Fourier based pricing methods?

As far as online resources go I find Chen's lecture notes pretty useful in this respect.As for papers dealing with Fourier inversion, given your previous post I'm sure you've already found one paper that could be useful.
by LordR
June 25th, 2007, 5:34 pm
Forum: Technical Forum
Topic: Where is the Lord and Kahl paper "Complex logarithmes in Heston-like models"
Replies: 1
Views: 70189

Where is the Lord and Kahl paper "Complex logarithmes in Heston-like models"

I'm sure if you ask the authors really nicely they'll send you what they have.
by LordR
June 25th, 2007, 5:33 pm
Forum: Technical Forum
Topic: Heston: Gauss's Integer Bracket in "Not-so-comlex logarithms in the Heston model" Kahl & Jackel
Replies: 1
Views: 70958

Heston: Gauss's Integer Bracket in "Not-so-comlex logarithms in the Heston model" Kahl & Jackel

<r>It should be the Gaussian integer bracket as far as I remember.Nevertheless, check e.g. <URL url="http://papers.ssrn.com/abstract_id=921335">http://papers.ssrn.com/abstract_id=921335</URL> for an alternate and easier wayto work around the problems with the complex logarithm. Formulation 2 is the ...
by LordR
June 23rd, 2007, 10:44 am
Forum: Numerical Methods Forum
Topic: Seeds and Random Numbers
Replies: 100
Views: 86355

Seeds and Random Numbers

> How about you giving it a try 1 to 2 week from now, see if you can enter a couple of results from your papers? Sounds like a good idea to me...Only problem is that it stands or falls with the no. of contributions on the same set.I've found many papers with faulty reference values...
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