Questions tagged [models]

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28 votes
5 answers
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Is there a standard model for market impact?

Is there a standard model for market impact? I am interested in the case of high-volume equities sold in the US, during market hours, but would be interested in any pointers.
shabbychef's user avatar
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40 votes
5 answers
8k views

Why aren't econometric models used more in Quant Finance?

There is a big body of literature on econometric models like ARIMA, ARIMAX or VAR. Yet to the best of my knowledge practically nobody is making use of that in Quantitative Finance. Yes, there is a ...
vonjd's user avatar
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27 votes
6 answers
4k views

Model Validation Criteria

Let's say I have a brand new fancy model on some asset class (calibration porcedure included over a set of vanilla options) in which I truly believe I made a step forward comparing to existing ...
TheBridge's user avatar
  • 4,563
8 votes
4 answers
7k views

Typical coefficients uses in square-root model for market impact

The square-root model is widely used to model equity market impact. It assumes that volatility, traded volume, total volume, and a spread cost are the drivers of slippage. Jim Gatheral has an ...
Ram Ahluwalia's user avatar
55 votes
7 answers
7k views

Paradoxes in quantitative finance

Everyone seems to agree that the option prices predicted by the Black-Merton-Scholes model are inconsistent with what is observed in reality. Still, many people rely on the model by using "the wrong ...
34 votes
3 answers
9k views

How do we use option price models (like Black-Scholes Model) to make money in practice?

In quantitative finance, we know we have a lot of option price models such as geometric Brownian motion model (Black-Scholes models), stochastic volatility model (Heston), jump diffusion models and so ...
nkhuyu's user avatar
  • 605
8 votes
1 answer
606 views

What are the empirical limitations to testing market efficiency?

I have encountered a rather elegant argument about the limitations of empirically testing for market efficiency, involving the central point that we do not know whether a result is due to the "true ...
Constantin's user avatar
8 votes
1 answer
2k views

Multi Fractals Models

From a quant point of view, how would you explain Multi Fractals Models in few words ? I have the level to take these courses, but won't be able to do it next year, so I want to know what I am missing....
Lucas Morin's user avatar
24 votes
2 answers
2k views

Why isn't the Nelson-Siegel model arbitrage-free?

Assume $X_t$ is a multivariate Ornstein-Uhlenbeck process, i.e. $$dX_t=\sigma dB_t-AX_tdt$$ and the spot interest rate evolves by the following equation: $$r_t=a+b\cdot X_t.$$ After solving for $X_t$ ...
Tom Artiom Fiodorov's user avatar
23 votes
2 answers
4k views

Which interest rate model for which product

Given the multitude of existing interest rate models (ranging from simple to very complex) it would be interesting to know when the additional complexity actually makes sense. The models I have in ...
Probilitator's user avatar
  • 3,377
15 votes
4 answers
3k views

Implementing a Fast Fourier Transform for Option Pricing

So, I'm in need of some tips regarding a small project I'm doing. My goal is an implementation of a Fast Fourier Transform algorithm (FFT) which can be applied to the pricing of options. First ...
Cindy88's user avatar
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10 votes
2 answers
2k views

Risk Model Validation

I have such a general question regarding risk model validation. Which tools are most often used for validation and how does the process work? Could you recommend any books that focus on this topic?
Mr.Price's user avatar
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8 votes
2 answers
745 views

Confusion with volatility smiles implied by different models

I am reading a book "The concepts and practice of mathematical finance" by Mark Joshi. In Chapter 18 he discusses the shapes and dynamics of smiles under different models. I do not understand what is ...
tuko's user avatar
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6 votes
1 answer
538 views

Relation between price changes and trading volume (market impact)

It is quite a well-know phenomenon that trading volume has an impact on a stock price: the more you buy the higher is a price because of demand increment. I'm wondering about models that can describe ...
Hasek's user avatar
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6 votes
2 answers
771 views

Architecture of a global pricing library with immutable payoffs

By global pricing library I mean a library handling equity, rate etc, hybrid products having several models (BS, LV, SV, LSV) having several numerical methods (analytic formula, MC, PDE FD/FE) I ...
Olórin's user avatar
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6 votes
0 answers
409 views

How are quants able to verify whether their calculated prices are any good

This question is related to the discussion on Model Validation Criteria However it appeard to be very high level to me and I would like to go more into detail. Not working at a pricing desk the ...
Probilitator's user avatar
  • 3,377
5 votes
2 answers
1k views

Ideas about Stochastic volatility models

I am currently working on comparing different models for modelling the volatility and then pricing vanilla options (I use option prices on real stocks in order to calibrate my models and then I ...
Matt59's user avatar
  • 71
3 votes
1 answer
378 views

Non-constant Volatility of the Volatility in Stochastic Volatility Models

In pricing financial derivatives, we often first assume that the volatility of the stock price is constant. $$\mathrm{d}S(t) = \alpha S(t) \mathrm{d}t + \sigma S(t) \mathrm{d}W(t)\text{.}$$ The ...
user54908's user avatar
  • 437
2 votes
1 answer
223 views

Is it always better to use the entire distribution of a financial returns series, not just $\mu$ and $\sigma$?

In finance models that use historical returns for inputs, including option pricing models, forecasting and portfolio optimization, only the statistical moments of the returns distribution, $\mu$ and $\...
develarist's user avatar
  • 3,000
1 vote
1 answer
951 views

What is market standard model in equity, FX and interest rates exotics?

Is there any industry consensus about the model to use for pricing exotics in equity, FX and interest rates? I assume that for vanilla options they all use Black model, but how about exotics? Also, ...
opt's user avatar
  • 559
1 vote
1 answer
101 views

How to set up data for understanding drivers of prepayments

I would like to understand the drivers of prepayment of a certain sector of MBS. I have some explanatory variables that I think would explain the actual CPR's and want to model the prepayments through ...
Jojo's user avatar
  • 895
1 vote
1 answer
183 views

Loan level model to understand drivers of mortgage prepayments

I am following up from my question here. As described there, I'm trying to assess the drivers of CPRs for a type of MBS. However, I want to understand, how a loan-level model of such a relationship ...
Jojo's user avatar
  • 895