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by mspadaccino
October 29th, 2009, 3:25 pm
Forum: Technical Forum
Topic: pricing quanto options: which vol for forward drift?
Replies: 2
Views: 38364

pricing quanto options: which vol for forward drift?

<t>Hihas anyone thought about which equity volatility should be used in the quanto adjustment (i.e. vol_equity x vol_fx x corr_Eq_fx) in the standard BS environment when the option is not at the money?Shall I use two different parameters (i.e. volatility taken on the strike of listed, vanilla produc...
by mspadaccino
December 29th, 2007, 8:32 pm
Forum: Numerical Methods Forum
Topic: Fractional Fast Fourier and Heston
Replies: 0
Views: 61170

Fractional Fast Fourier and Heston

<t>can anyone suggest any approach when choosing the optimal set of parameters (N, i.e. grid dimension, gamma, i.e. dumpening parameter, delta, i.e. gridsize for logstrikes) for implementing option pricing in the Heston model using fractional fft? Say I want to produce N=128 option prices with the o...
by mspadaccino
April 2nd, 2007, 7:23 am
Forum: General Forum
Topic: Structured Note on CPPI
Replies: 6
Views: 76884

Structured Note on CPPI

<t>Hi Sonyahthanks for your replyso you basically sugget the use of simulations only in order to properly select the multiplier of the strategy?Is it then correct to proceed with the pricing of the structured note in the way I specified in my previous post? (i.e. getting the theoretical bond floor v...
by mspadaccino
March 30th, 2007, 6:49 pm
Forum: General Forum
Topic: Structured Note on CPPI
Replies: 6
Views: 76884

Structured Note on CPPI

<t>Hi and thanks for your replysomething I don't get is why should I use Monte-Carlo when I don't really need to price any call on the CPPI, since the rebalancing strategy would allow me to guarantee 100 at the end (apart from crash risk). I mean, what should I do with the distribution of results of...
by mspadaccino
March 29th, 2007, 6:27 am
Forum: General Forum
Topic: Structured Note on CPPI
Replies: 6
Views: 76884

Structured Note on CPPI

<t>Say I want to price a structured bond that has a fixed coupon structure, final capital redemption, and a final coupon based on the performance of an asset defined as a CPPI: i.e. a dynamic basket, made of a risky asset (such as a fund or funds portfolio) and a riskless asset (in this case made of...
by mspadaccino
December 8th, 2006, 9:03 am
Forum: Technical Forum
Topic: appropriate number of timesteps in Heston
Replies: 14
Views: 89300

appropriate number of timesteps in Heston

Thank you for your reply Exoticathis sounds clear enough, and in line with my results
by mspadaccino
December 6th, 2006, 8:03 pm
Forum: Technical Forum
Topic: appropriate number of timesteps in Heston
Replies: 14
Views: 89300

appropriate number of timesteps in Heston

talking about standard errors of MonteCarlo, I was also wondering if the number of time steps actually affects this value or is it only influenced by the (square root of) number of paths in a set of simulations...
by mspadaccino
December 4th, 2006, 11:57 am
Forum: Technical Forum
Topic: appropriate number of timesteps in Heston
Replies: 14
Views: 89300

appropriate number of timesteps in Heston

Thanks Antonio,do you have any reference for this? I'm quite curious about this dependence on parameters.
by mspadaccino
December 3rd, 2006, 9:21 pm
Forum: Technical Forum
Topic: appropriate number of timesteps in Heston
Replies: 14
Views: 89300

appropriate number of timesteps in Heston

Say I want to simulate an Heston process using Monte-Carlo for a vanilla option.Is there an appropriate number of timesteps to be used in order to converge to the analytical result given a certain number of paths generated (i.e. a relationship between the two) ?Thank you
by mspadaccino
November 17th, 2006, 9:18 pm
Forum: Numerical Methods Forum
Topic: Implentation of Heston with jumps in Montecarlo
Replies: 7
Views: 90790

Implentation of Heston with jumps in Montecarlo

<t>Hi Athleticothanks for your kind reply!I tried following your instructions, but still cannot get a proper result from my MC. Here's the piece of the code that I use: mj = Exp(meanJ + 0.5 * deltaJ^2) - 1 r = (rate - yield - lambdaJ * mj - 0.5 * vol^2) * dt sd = vol* Sqr(dt) isJump = Rnd() < lambda...
by mspadaccino
November 17th, 2006, 4:18 pm
Forum: Numerical Methods Forum
Topic: Implentation of Heston with jumps in Montecarlo
Replies: 7
Views: 90790

Implentation of Heston with jumps in Montecarlo

<t>Thanks again rada, I tried changing also the jump term but I still get more or less the same results as before...this is interestingAthletico, I didn't include the vol diffusion part since it would be not affected by the jump process, assuming the two are independent. However, I modeled it the no...
by mspadaccino
November 17th, 2006, 2:15 pm
Forum: Numerical Methods Forum
Topic: Implentation of Heston with jumps in Montecarlo
Replies: 7
Views: 90790

Implentation of Heston with jumps in Montecarlo

Hi radathanks for your kind replyI actually rewrote the code correcting the drift to what you suggest but basically don't see any improvement in teh results.Maybe I should also rewrite the diffusion part in some way?
by mspadaccino
November 16th, 2006, 11:50 am
Forum: Numerical Methods Forum
Topic: Implentation of Heston with jumps in Montecarlo
Replies: 7
Views: 90790

Implentation of Heston with jumps in Montecarlo

<t>HelloI'm trying to implement a discretization of Heston plus jumps model (or Bates model) in a Montecarlo framework.In order to check correctness of my code, I compare the results with those coming from FFT implementation for vanilla calls.Whilst I found the Heston with no jumps code implementati...
by mspadaccino
September 11th, 2006, 8:02 pm
Forum: Programming and Software Forum
Topic: Free code for Heston
Replies: 32
Views: 224572

Free code for Heston

Thanks AVteverything is clear now, I tried your formula with these corrections for the yield and they're in line with other sources as well as with simulations.Thanks for your great help and work in this field, and for sharing it online here.M
by mspadaccino
September 10th, 2006, 6:39 pm
Forum: Programming and Software Forum
Topic: Free code for Heston
Replies: 32
Views: 224572

Free code for Heston

<t> hi AVt,could you check if in your otherwise nice and helpful formula the dividend yield is correctly included? I'm facing some problems getting similar results between closed formula in your sheet and MC simulations when using a positive yield. Indeed I find results very close when, on the other...
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