5
votes
1answer
546 views

PDF Calculation by Fourier Inversion of Characteristic Function for Affine Intensity Process in Matlab

I'm trying to use the Fourier inversion formula to plot the PDF of an Affine Stochastic Intensity Reduced Form Credit Model, given its characteristic function. The characteristic function of an ...
1
vote
2answers
1k views

calculate gamma value using finite difference method

I try to use the finite difference method to get the approximately gamma value, but there is an issue I can't solve. First, I set $h$ to 1 basis point of underlying asset value, but the result is not ...
6
votes
1answer
161 views

Estimating the Hurst exponent in short terms in developed markets

In the Proceedings of the Estonian Academy of Sciences, Physics and Mathematics (2003), I saw the following sentence: Surprisingly, in the case of developed markets, short-term $H$ results showed ...
0
votes
1answer
894 views

Directional/Non-Directional Risk

Can someone explain to me what is direction/non-directional risk? Went through few sites but couldn't understand much.
7
votes
2answers
5k views

Is there a step-by-step guide for calculating portfolio VaR using monte carlo simulations

I am trying to determine a step-by-step algorithm for calculating a portfolio's VaR using monte carlo simulations. It seems to me that the literature for this is extraordinarily opaque for something ...
2
votes
1answer
202 views

Boundary condition for Asian Option under Black-Scholes model

I am looking at Kemna and Vorst's paper: A PRICING METHOD FOR OPTIONS BASED ON AVERAGE ASSET VALUES. see http://www.javaquant.net/papers/Kemna-Vorst.pdf Let $\text{d}S_t = S_tr\text{d}t + S_t\sigma\...
1
vote
1answer
155 views

regarding Basel II III model

I may have to get involved in some projects using Basel II, III model for risk modeling, to which I have no background. Are there any good book/tutorials to recommend? What are the underlying ...
1
vote
1answer
191 views

Market-Maker existence impact to short-term informed directional trading

How existence of market-maker affects short-term directional trading? Normally when playing short-term directional we play against market marker that will cover losses from uninformed traders. But ...
4
votes
3answers
203 views

What is the correct / expected behavior for a market order sent to an empty book?

Should it stick around until liquidity shows up? (GTC) Should it cancel any size for which there is no liquidity? (IOC) Is there such a thing as Market GTC or Market Orders must always be IOC?
1
vote
0answers
117 views

Variable Selection with Kalman Filter

I'm trying to estimate factor loadings on portfolios over time for portfolios that are traded pretty frequently. I have a sense that several portfolios are loading on the Fama-French HML factor ...
4
votes
1answer
829 views

Why parameterize the Black Scholes implied volatility surface?

I know that SVI volatility surfaces are very popular among financial practitioners. I understand that this is not really a model for some underlying asset (such as Black Scholes, Heston etc.) but ...
2
votes
2answers
593 views

How to use the stock as a numeraire to price a derivative with payoff of the form $(S_T f(S_T))^+$?

I have $\frac{dS_t}{S_t} = rdt + \sigma dW_t$ as usual under the money-market numéraire and I need to price options with payoffs $$(S_T f(S_T))^+$$ How do I express the stock dynamics using the ...
5
votes
1answer
276 views

Quant teams predicting the World Cup

It is a good tradition of the quant teams of the major banks to predict the World Cup. As an example see this new paper from Goldman Sachs: The World Cup and Economics 2014 (Brazil will win by the ...
1
vote
1answer
214 views

Girsanov theorem in CMS convexity derivation

I am going through the derivation of CMS convexity from the notes of Lesniewski There is a transformation from $T_p$ forward measure to annuity measure $Q$ as $$ P(0,T_p)E^{Q_{T_p}}\left[S(T_0,T)\...
9
votes
4answers
1k views

Why shrink the covariance matrix?

I'm trying to understand why it's useful to shrink the covariance matrix for portfolio construction or in fact general. Think I missing something. I know if you have 5,000 stocks it's a lot of ...
15
votes
4answers
5k views

Why is the VIX futures market usually in a state of contango?

I'm a VIX newbie and I'm trying to understand why the VIX futures market is usually in a state of contango. All I can figure is that the sellers of VIX futures contracts demand high "prices" (because ...
2
votes
1answer
133 views

Do people hedge with leveraged ETFs intraday? How?

Seems that the answer to the first part should be yes, but haven't seen any references or examples. E.g. suppose I want to hedge XLF position with FAZ. Do people use close to current returns, or just ...
0
votes
1answer
591 views

Price change of a bond towards yield and YTM

I have been trying to get a good picture of PV01 and DV01(PVBP). I was going through below link. This measure is the absolute value of the change in price of a bond for a one basis point change in ...
1
vote
3answers
199 views

Obtaining Expense Ratio Data

I have a list of tickers (~11,500) in a .txt/.csv file and accompanying fund data from yahoo finance. I'm wondering if there is a reasonably easy/accessible way to use this list to obtain expense ...
1
vote
2answers
122 views

Standard Deviation as listed in Rebonato's Volatility and Correlation: Binomial Replication 2.3.4 Worked-Out Example

I am reading Rebonato's Volatility and Correlation (2nd Edition) and I think it's a great book. I'm having difficulty trying to derive a formula he used that he described as the expression for ...
4
votes
3answers
315 views

Determining optimal trading signals (buy/sell) from past data

Let's say we have a stock which our only actions are buy, sell and hold (with or without shorting). If we have sufficient past data of the stock, how can you determine the optimal trading action ...
3
votes
2answers
988 views

IMM Swaps vs. Forward Swaps

Could we think of IMM dated swaps as forward swaps (since they trade only on specified dates and they might not be the current date)? For example, today is June 2nd, the next IMM swap is June 14 (not ...
0
votes
1answer
1k views

How do I do a mean variance optimization with constraints?

I am using python and the cvxopt library to calculate an efficient frontier, per the docs: http://cvxopt.org/examples/book/portfolio.html However, I cannot figure out how to add a constraint so that ...
1
vote
0answers
234 views

trading strategy outperforms passive strategy in absolute terms, but in returns vice versa. how could this be?

Background: I want to compare two trading strategies in term of profitability. The red one is an active trading strategy, which involves many entry and exit to a specific market. The blue one is a ...
3
votes
2answers
267 views

Modelling driftless stock price with geometric Brownian motion

I wish to understand some basic fact about the (primitive) simulation of stock prices with geometric Brownian motion. If $S(t)$ is the stock price at time $t$, and the stock price follows geometric ...
4
votes
1answer
188 views

Simulating state space model with AR(1) dynamics

I asked a question similar to this previously: https://dsp.stackexchange.com/questions/16341/simulating-a-state-space-model However I think I have a better handle on it now and want to re-ask it: I ...
0
votes
1answer
102 views

Sample size and historical correlation matrices

I was wondering whether any literatures existed on how to properly estimate correlation matrices from historical data. Obviously the entire procedures allows a lot of leeway. The frequency of the ...
3
votes
1answer
88 views

Properties of a Symmetric Copula

I am working with the following copula, and have a few questions about it: $C(x,y) = xy + \theta (1-x)(1-y)xy$ Here $\theta \in [-1,1]$ and $x,y \in [0,1]$ First, I am trying to show this copula is ...
2
votes
1answer
79 views

Regression of TAQ half-hourly stock volume data against news volume

I am planning to run regression of half-hourly stock volume against the half-hourly news volume for that particular stock. I am looking at 2 years of data for my analysis. However, I am stuck thinking ...
2
votes
3answers
242 views

Hedge fund database with daily data

I am looking for a hedge fund database that provides returns daily. Is there any data provider that gives daily data?
1
vote
1answer
489 views

What is the Rho of an option on a futures contract priced using the Black 76 model?

I wanted to quickly confirm some simple calculations for the Black 76 greeks and was making use of the formulas on this website: http://riskencyclopedia.com/articles/black_1976/ I have an issue with ...
3
votes
1answer
178 views

meaning of discount term in FRA value

Consider a forward rate agreement on LIBOR (say), which starts 2 months from now, expires after 3 months and has strike $K$, and is based on $3M$ LIBOR -- $FRA_{2\times 5}$. Now the present value of ...
0
votes
1answer
101 views

Best performing stocks in given year

Is there a function in Bloomberg that allows the user to search the best performing stocks for a given year, say 2011, in any given stock exchange? For example, I want to see the best performing ...
1
vote
3answers
1k views

CDS Spreads and Equity Volatility

Why does CDS spreads track the implied volatility on equities? What is the fundamental relationship that would keep the two inline from deviating too far from each other? My speculation: Could it be ...
2
votes
0answers
67 views

Tick Data Poisson Process

I am trying to generate a custom tick index using two indices (Let's say australian index ASX 200 and Japenese Index NKY). Japan index ticks every 10 seconds...and australia ticks every 30/35 seconds. ...
5
votes
0answers
200 views

Calculating volatility of inhomogeneous time series

I am reading an article by Zumbach and Müller whose name is Operators on Inhomogeneous Time Series. This is interesting in general, but my main goal is to learn a good and efficient method to ...
1
vote
0answers
49 views

What is the main point in the Forward contracts definition?

In Islamic Finance there is a contract called "Salaf" or "Salam" which is similar to Forwards except in time of payment which happens in the entering contract day (exactly unlike the Forwards). Some ...
0
votes
1answer
275 views

What does it mean if $\beta$ is insignificant in the CAPM model?

What can we say about an asset which $\beta$ calculated using the CAPM model (regressing the excess returns of the stock vs excess returns of the market) is insignificant?
2
votes
2answers
393 views

Why do some stock options have expiration dates for a given month, while others don't?

Take two stocks, WWE and XPO, both traded on NYSE. Today, May 28, 2014, XPO has options expiring August 2014... ...while WWE doesn't: Why is that? From my experience, the missing expiration ...
4
votes
2answers
702 views

Successfull applications of Chaos Theory in Quant Finance

Do successful applications of chaos theory to quant finance exist ? While still in the university I remember some people mentioning how chaos theory and fractals could be applied in a finance context....
2
votes
4answers
244 views

Is there any other way to measure option pricing model performance than proximity to market prices?

Short version Why do we take market prices as the prices to be estimated and predicted? The common answer is efficient markets hypothesis as in "Market agents do their best effort given their ...
3
votes
1answer
1k views

Documentation of the ISDA CDS standard model

I have to validate the use of the ISDA CDS standard model. Don't understand me wrong - I am sure that the ISDA model is "good" I just need to know what it is in detail. I can download an Excel-...
1
vote
1answer
122 views

Volatility of Option

I hope I'm asking this at the right place. This pertains to actuarial exam MFE/3F on Financial Economics. If $\sigma$ is "volatility" and $\Omega$ the elasticity of the stock, one formula that is ...
2
votes
1answer
109 views

Introducing credit risk to an already implemented interest rate model

Do any standard/generic approaches exist on how to extend an interest rate model to incorporate credit risk? The first thing that comes to mind would be to just model the credit spread separately - ...
1
vote
1answer
380 views

Interpolation of volatility curve for Swaption

I have found volatility in the black model for swaption for different maturity (1-2-3-6-9M, 1Y, 18M, 2-10Y, 15-20-25-30Y) and Tenor (1-10Y, 15-20-25-30Y). Now I need another values (Maturity: 2, Tenor:...
0
votes
1answer
52 views

GNP/GDP and modelling [closed]

Is GNP a continuous, static or a dynamic model ? What about GDP ? What I do know is that it has yearly discrete values. However, when it is modeled, it becomes a continuous graph. So what exactly is ...
0
votes
3answers
98 views

Why is it enough to know the expected present value of cash flow in risk-neutral framework to price derivatives?

Wilmott book states that its enough to know the expected present value of all cash flow in risk-neutral framework to price derivatives. As I know, to obtain arbitrage-free market we need our ...
3
votes
4answers
1k views

Bloomberg alternatives for fixed income data

I am looking for a (hopefully significantly cheaper) alternative to bloomberg - primarily for fixed income data. Perhaps some survice that has a more modular fee structure (so that I only have to pay ...
3
votes
1answer
377 views

Monte Carlo for MultiFactor Ornstein Uhlenbeck

I'm following loosely the exposition given in "Monte Carlo Methods in Financial Engineering by Glasserman. For a multifactor OU process: $dX(t)=C(b-X(t))dt+DdW(t)$ Where C and D are d*d matrices ...
1
vote
1answer
33 views

How to define the median for bivariate function?

I know if we define a function f(x) and its cdf is F(x). The inverse function of cdf is inverseF. I can define its median as follows: median = inverseF(0.5). But if I want to get the median for a ...

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