Questions tagged [modeling]

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49 views

Linear model for intraday stock prices [closed]

I am trying to design a liear system for modeling intraday stock price movement (with sampling time = 3sec), I am going to involve following terms: trading volumes every 3 sec; trading directions; a ...
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1answer
84 views

Out of Sample Results Decay Rapidly With Prediction Window or Embargo

So I am beginning to dabble my toe into quantitative finance and am trying to validate some model results and am having difficulty thinking about what they tell me. Here's my situation: I'm trying to ...
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3answers
2k views

Accrual in Default Derivation of Credit CDS Curve

In Trading Credit Curves Part I by JP Morgan we have that each point on a credit (CDS) curve represents: $$PV(\text{Fee Leg}) = PV(\text{Contingent Leg})$$ which is $$S_n \sum_{i=1}^{n}\Delta_i ...
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61 views

LIBOR Rate in Short-Rate Models

Hey I have problem with understanding the relation between short rate $r$ and LIBOR rates (which we need to calculate payoff from FRA, Caps, Swaption etc.). We know that Zero-Coupon Bond price is $$P(...
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35 views

Hull-White model for yield curve prediction

I am using the Hull-White model (extended version of Vasicek) to predict Canadian zero-coupon bond yield curves. Most of the time the model does a pretty good job of fitting the real curve in terms of ...
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1answer
180 views

Understanding out-of-sample performance metrics for Realized Volatility

I fitted several models on a realized volatility process and then proceeded to obtain out-of-sample results. I'm struggling to interpret these results apart from to tell model A seems better than ...
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0answers
42 views

Ideal daily leverage assuming Laplace distribution

Assumption; Laplace distribution is a reasonable representation of an index daily change. Starting out with index historical annualized CAGR and standard deviation. I find the Laplace distribution ...
11
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1answer
2k views

Market Making Strategies Found by Hamilton-Jacobi-Bellman Equation

Im working my way through the book "Algorithmic and High-Frequency Trading" (AHFT) by Cartea, Jaimungal and Penalva and i'm curious to see how the market making model with an exponential utility ...
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56 views

Does anyone have all of Paul Wilmott's "Spreadsheets and VBA" files?

I couldn't find it on his website and the only ones I have are the files contained in the Introduction to Quantitative Finance's CD.
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1answer
711 views

Can an IRS have a different payment calendar by leg?

I have to model IRS in an IT system and I have a question related to this modeling. Can an IRS have a different payment calendar by leg ? Thanks and regards
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0answers
29 views

How to estimate lambda from NAGARCH submodel in R

I am trying to estimate the model="fGARCH", submodel="NAGARCH" from the rugarch package in R. However, when I am estimating the parameters, only omega, alpha, beta and gamma are ...
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2answers
234 views

Is it a problem that there are so few stocks in the generalized Black Scholes market? [duplicate]

In the standard Black Scholes market there is only one stock. In the generealized market there can be a finite amount, but my impression is that there are few stocks in the market. The real world ...
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1answer
56 views

Non-fixed stationary "conversion"

Dear users of StackExchange, I was wondering why the log returns of a fixed period of time is such a common use in "transforming" a time series into a more stationary one? I thought that ...
4
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1answer
118 views

Reconciling Two Claims About Volatility Under Fat Tails

I have read the Wikipedia article on volatility, and Nassim N. Taleb's Incerto, and found two statements attributed to Mandelbrot's views, which appear to be in contradiction. Taleb (who was mentored ...
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1answer
130 views

Backtesting model results, but backtesting output sampled at different frequency than model output

So, I'm trying to backtest a model that computes P&L. This model pulls sensitivities on a weekly basis and applies market shocks to these sensitivities to project quarterly P&L. I want to ...
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1answer
108 views

Smoothing of Implied Volatilty

I'm using ATM 30D implied volatility in a model I'm building, but need to smooth out the data. Is the best way just to use exponential smoothing or are there any better alternatives?
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1answer
70 views

Generalized Linear Mixed Model (GLMM) for the probability of default of corporates

I work in the financial industry and we want to implement an internal rating model for our clients (think corporates large or mid , banks etc. some listed on an exchange some others not). We want to ...
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4answers
4k views

From Fourier Transforms to Option Values

I am trying to understand how Fourier transforms & Characteristics functions can be used to calculate option values. However, I am having difficulty following the process that is used in several ...
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0answers
50 views

Do we model stock prices using non-Markovian processes in continuous setting?

In a continuous setting, is it common to model stock prices using non-Markovian processes ? If so, do you have some examples of models ? Or is Markovianity something "embedded" in the ...
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0answers
44 views

How do I deal with nonexistant data in a time series with an irregular frequency?

I am trying to do some time series analysis on the margin resulting from three specific commodity futures contracts and ultimately forecast the margin. The margin is calculated as M = F1 + F2 - F3. I ...
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101 views

In Lopez de Prado's Advances in Financial Machine Learning, what is meant by "unnecessary labels"?

In Lopez de Prado's Advances in Financial Machine Learning, Chapter 3, Prof. Lopez de Padro talks about dropping rare labels: ...
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0answers
46 views

Kalman Filtering theory and application in Finance models under asymmetric or incomplete information

Why do we need Kalman Filtering theory in dynamic models in finance when we consider an environment of asymmetric or incomplete information? I understand that this has to do with the update of the ...
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5answers
870 views

Physical commodity trading quantitative risk return model

I am very new to commodities, I was previously in portfolio management/optimization (Black Litterman Markowitz etc). I am now a Buy-Sell analyst for Petrochemicals, and need to understand the basic ...
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0answers
46 views

Which exact interest rate should I use for valuing equity index futures (ie. SPX, MXEA)?

I'm trying to build a model that values futures for equity indicies like SPX. For example, this product link here. I know that the model is simple (please correct me if I'm wrong): $$ S_{T} =S_{0}e^{(...
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0answers
147 views

Other statistical financial modeling textbooks like Risk and asset allocation by Attilio Meucci

I recently read about the book (Risk and asset allocation) written by Attilio Meucci and I found those statistical modeling and inference methods quite robust in my point of view, although there are ...
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1answer
67 views

Should stock return series be modeled with a parametric distribution, or an autoregressive function? [closed]

If I have prior knowledg that a stock return series follows a parametric distribution, such as a Student t-distribution with 4 degrees of freedom, without actively looking for prior knowledge of ...
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0answers
29 views

Creating a single data set using daily trades

I try to model the price change of a stock using the daily trades. I have 3-months of daily trades data of an exchange. I want to create a single data set using this data by combining each days' data. ...
4
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1answer
374 views

Mean Reverting Heston Model?

Is there a name for a variation on the Heston Stochastic Process Model where not only the underlying volatility but the asset price itself is mean-reverting? I'm looking to model long term equity ...
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2answers
487 views

Using OpenCL video cards to offload Quant Finance calculations, what features should I look for?

I'm benchmarking some software and am looking for cards that are better at parallel multiplication vs parallel addition. Is there any prior work that may have this information? What GPU features ...
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0answers
21 views

What are different types of response variable we can consider while developing quant model

I was trying to understand the response variables used in the quantitative trading/investing model development. This question may not look good but I searched on google and could not find results. ...
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1answer
250 views

Why do we not use copula for forward starting options?

Why do we use copulas for spread options but do not use them to correlate random variables across time, such as in the forward starting option?
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1answer
148 views

PnL due to model recalibration and its relationship with hedging error

Consider the case where at t=0, I calibrate my model to the market, but at t=1 my model is no longer able to recover the price in the market, so it needs recalibration. Say I have delta hedged my ...
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47 views

Quantifying Mortgage Refinance Incentive: Why define the Refi Incentive as the log of Mortgage Rate/Market Rate

I'm reading this research article, where they are using survival analysis to study mortgage prepayments. In this article they define the mortgage holder's incentive to refinance as: $Refi = log(Mr_t$ $...
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1answer
44 views

In your experience, when trying to predict something that occurs, do you model with a fixed time period?

Let's say you are building a simple model (like the classroom examples) of trying to predict, given past information, if the stock goes up or down in the future. One could, like in classroom examples, ...
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1answer
2k views

Is it more common to hedge a mortgage bond portfolio with other bonds as opposed to Interest Rate Swaps? [closed]

Is it possible to get interest rate swaps on mortgages? If not, why not? Are there models that describe this? Any direction would be great.
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0answers
453 views

Examples for the option model validation

When implementing a code for the new model, even if it provides sensible price, it is still a good idea to compare it against some benchmarks, even in the special case of constant volatility Black-...
2
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1answer
138 views

Do different prices under different models admit arbitrage?

There are many models for interest rate. If two people use two different models to price the same interest rate derivative, and come to two different prices, doesn't that admit an arbitrage? How ...
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0answers
157 views

How are Autocallables modelled?

What models are used to price autocallables ? Should we talk about Heston/SABR models which talking about this topic ? Any reference link is welcome.
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7answers
4k views

Are the sin, cos, tan functions used in some financial calculations?

I ask because those functions are on the TI BA II Plus financial calculator. I saw some interesting answers but I don't think a calculator would be practical in their environment.
2
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2answers
562 views

Pros and cons of mean equation equal to zero in a GARCH model

I fitted a standard GARCH model. The mean equation has no AR or MA terms. All the coefficients in the variance equation are significant at 5%. However the mean equation has a constant term equal to ...
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0answers
88 views

Is there a good book/blog on applying statistical methods in finance? [closed]

I am learning a lot of tools in statistics, but I am having a hard time figuring out where I could apply these methods in finance, especially in relation to investment and trading. Is there a good ...
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0answers
61 views

Searching for two papers of H.Leland with regards to capital structure

I am searching for two papers of H. Leland which I assume previously were online, as many published papers have cited them. The first work (Lecture notes) extends the Leland(1994a) model by ...
1
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1answer
73 views

Calibrate a model parameter with an error function

Suppose I want to find the implied volatility using an option model from market prices. Surely I can find the implied volatility for each strike price ($k$ different strike prices) for a given ...
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3answers
1k views

Modelling and forecasting mixed frequency financial data

I was wondering if someone could provide some guidance to me. I would like to Combine various financial data of mixed frequencies (some daily, weekly, some quarterly) to a composite index. I have ...
5
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2answers
2k views

Black-Litterman, how to choose the uncertainty in the views $\Omega$ for smooth transitions from prior to posterior

In Black-Litterman we get a new vector of expected returns of the form: \begin{align} \Pi_{BL} = \Pi + \underbrace{\tau \Sigma P^T[P\tau\Sigma P^T+\Omega]^{-1}}_{\text{correction}}[Q-P\Pi] \end{align} ...
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5answers
8k views

Predicting Price Movements on a Betting Exchange

On a betting exchange the price (the odds that an event will happen expressed as a decimal, 1/(percentage chance event occurring) of a runner can experience a great deal of volatility before the event ...
3
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2answers
272 views

Is there an efficient method or technique to find an arbitrage between two FX dealers?

I was able to solve the following problem and find the arbitrage but only after spending a long time on it and trying out different possibilites. Is there a method or technique that can help me find ...
2
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0answers
75 views

tick/book data vs bar data, worth the infrastructure investment?

For reference, I am talking on behalf of a small group of math/stats graduate students as well as software engineers (we are 6 total), we know each other for years and decided to make a small (private)...
2
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0answers
78 views

modelling known regime shifts

I wish to model a price time series with a known regime shift: electricity price before during and after the introduction of a carbon price. The time series looks like this: you can see the jump in ...
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3answers
205 views

Insight on how factor models achieve dimensionality-reduction?

Going through the literature on factor models, I keep seeing the phrase "dimensionality reduction" and how factor models allow for the modelling of assets in high-dimensional cases, and I would ...

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