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by probably
June 25th, 2011, 1:49 pm
Forum: Numerical Methods Forum
Topic: ADE with mixed derivatives
Replies: 52
Views: 39956

ADE with mixed derivatives

<t>Hi Cuchlain/spv205QuoteCould you post how you discretised exactly mixed terms?For the ADE scheme, I have done:a) create a full matrix operator with two-sided differences (ie, matrix M)b) then virtually wrote M=U+L for two triagonal matrices... and solved the problem as proposed in the ADE scheme....
by probably
May 19th, 2011, 8:26 am
Forum: Numerical Methods Forum
Topic: ADE with mixed derivatives
Replies: 52
Views: 39956

ADE with mixed derivatives

<t>Hi CuchulainnQuoteNo dt/2 terms in ADEUps, that's a typo. Will correct it.QuoteI use Barakat and Clark (B&C) which averages the U and V schemes and is 100% explicitActually, I have implemented that, too, but it seemed to work less well (not scientific argument, just observation).[QI think I k...
by probably
May 18th, 2011, 2:56 pm
Forum: Numerical Methods Forum
Topic: ADE with mixed derivatives
Replies: 52
Views: 39956

ADE with mixed derivatives

<t>Hi CuchulainnUpdate on this - I have finished the implementation including the forward PDE for both SVLV and stochastic dividends. I have implemented ADE with parallel splitting and with step-wise splitting (first X then Y). I have compared this with ADI. Basically, I have found for my particular...
by probably
January 21st, 2011, 12:55 pm
Forum: Technical Forum
Topic: Cause of the volatility smile
Replies: 55
Views: 29400

Cause of the volatility smile

You are mixing up risk-neutral and real-life expectations.
by probably
January 21st, 2011, 8:37 am
Forum: Numerical Methods Forum
Topic: ADE with mixed derivatives
Replies: 52
Views: 39956

ADE with mixed derivatives

<r>I am looking (again <E>;-)</E>) at forward-PDE calibration of stochastic vol-local vol.The aim of the exercise is to see whether this beats the ADI scheme we have already implemented.DetailsMy PDE is a forward PDE for exp OU stochastiv vol and an equity with an additional local vol term. The func...
by probably
January 20th, 2011, 10:59 am
Forum: Technical Forum
Topic: non-automated arbitrage strategies?
Replies: 7
Views: 24001

non-automated arbitrage strategies?

I heard somebody calling that "Rumourtrage"
by probably
January 20th, 2011, 10:57 am
Forum: Numerical Methods Forum
Topic: ADE with mixed derivatives
Replies: 52
Views: 39956

ADE with mixed derivatives

Has somebody used the ADE schemes Duffy mentions for the 2F case with mixed derivatives and drift?
by probably
November 16th, 2010, 5:35 pm
Forum: Technical Forum
Topic: Closed form for forwards when dividends are stochastic
Replies: 8
Views: 63776

Closed form for forwards when dividends are stochastic

Hi DileepThis thread is ages old but in case you are still interested, here is a new paper on truly stochastic dividends (not only affine).Any comments very welcome
by probably
April 7th, 2010, 3:48 am
Forum: Economics Forum
Topic: Island Economy question- improvment in standard of living
Replies: 6
Views: 35765

Island Economy question- improvment in standard of living

<t>I think traden4alpha hit the point.QuoteThe safest conclusion is that a rapidly growing economy makes person A's SOL more volatile and puts pressure on person A to boost their productivity or to adapt to changing economic conditions (e.g., learning to weave fish-farm enclosures or saving money to...
by probably
March 9th, 2010, 9:51 pm
Forum: General Forum
Topic: Portfolio optimisation with transaction costs.
Replies: 1
Views: 30507

Portfolio optimisation with transaction costs.

<t>Most commonly used is to writew_new = w_old + w_pos - w_negie, split your transaction into positive and negative part. You constrain both of them to be positive. Then your transaction cost model isc'w_pos + c'w_neg + rav/2 var( w_old + w_pos - w_neg ) = (*) this gives you a semi-definite covarian...
by probably
March 1st, 2010, 10:57 pm
Forum: Numerical Methods Forum
Topic: option pricing model with counter party risk
Replies: 4
Views: 37327

option pricing model with counter party risk

<t>If you have no collateral agreement and you recevie no recovery upon default, then you can use:Your asset is S(t), and default of the counter party has no effect on it.r(t) = risk free rated(t) = div yieldk(t) = instantaneus credit riskThe you'll have to pricein other words you change discounting...
by probably
March 1st, 2010, 12:05 pm
Forum: Trading Forum
Topic: Options on Variance
Replies: 4
Views: 39211

Options on Variance

<t>You could try the model on pg. 36 - "Fitted Heston" which is also described here on page 48ff with some comments on practical implementation and hedging performance.The basic idea is to use a given SV model, and fit it to the prevailing variance swap prices. The resulting model has a very low num...
by probably
February 28th, 2010, 10:55 pm
Forum: Technical Forum
Topic: Instantaneous Correlation
Replies: 4
Views: 36480

Instantaneous Correlation

<t>Hi cchoongYour question is not precise enough. What do you need your correlation for?Assuming you want to hedge your European option on a basket, then the correlation which drives your PnL is the correlation between your hedging instruments. In theory, that should be the correlation of the forwar...
by probably
February 28th, 2010, 10:49 pm
Forum: Technical Forum
Topic: Implementation of a portfolio optimizer
Replies: 6
Views: 32862

Implementation of a portfolio optimizer

Which tools are you referring to?Are you saying that your PHP written constrained LSQ optimizer beats professional optimizers such as Mozek's ?
by probably
January 16th, 2010, 8:40 am
Forum: General Forum
Topic: NDF fair price
Replies: 4
Views: 36418

NDF fair price

<r>It's not the forward because NDFs are usually traded against currencies which are not freely convertible ... CNY for example.For the forward price argument to work, you need to be sure that you can exchange the two currencies in the future. Hence there is conversion risk. As a first approximation...
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