# All Questions

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### How can the Wiener process be nowhere differentiable but still continuous?

Taking a class in financial derivatives (book we use is Tomas Bjork´s Arbitrage theory in continuous time) but can´t understand the exact meaning of how the Wiener process is defined. In the book one ...
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In many books and derivations of the Black-Scholes PDE one sees that $$\Pi=V-\Delta F \Rightarrow d\Pi=dV-\Delta dF$$ which implicitly assumes that $d\Delta=0$. Somewhere down the road one then ...
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### How do you calibrate a poisson arrival rate process?

Many papers in the microstructure literature assume an order arrival rate of the form $\lambda^a(\delta) = \lambda^b(\delta) = Ae^{-k\delta}$ That is, an order that's placed $\delta$ away from the ...
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### Divergent or Convergent Strategies? Which is the way to go?

Consider first the simple convergent strategy to invest some amount $X$ in a game, if you win you simply take the winnings and keep playing a subsequent game. In the case of a loss, you believe in ...
156 views

### Simple question about expected value of brownian motion

I would appreciate some help with the math in this paper : High Frequency Trading in a Limit Order Book Specifically, I would like to understand how the authors calculated the expected value of price ...
101 views

### Derivation of a ML estimator

I have the following likelihood function: I'm given this information about the $\Omega$ matrix ($\boldsymbol{1}$ is a $T \times 1$ vector of ones): I would like to be able to show that the ...
243 views

### Different range price data on one chart

I'd like to evaluate 3-4 instruments on one price chart. For example: Stock A: 90,05 90,15 90,25 90,09 Stock B: 0,0045 0,0049 0,0039 0,0040 Stock C: 1998,1 1998,7 1998,8 1997 I try to use: Ln(...
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### How do i test the significance of Sharpe ratio of a strategy using bootstrap

How do i test the significance of Sharpe ratio of a strategy whether it is any different from another strategy ?? How do i get a p-value out of it ? What should be the H0 in the hypothesis testing ? ...
105 views

### When do trades actually execute on an exchange?

Obviously, when ownership of some security is transferred from party A to party B, both parties' balances must be updated and recorded in an atomic transaction. Call this "an execution". So in an ...
581 views

By using http://finance.yahoo.com/d/quotes.csv?s=STOCKNAME&f=I am able to download a CSV file, does anyone know what the symbol for beta is? It should go after <...
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### What quant-related functionalities is R lacking compared to commercial software like Mathematica and Matlab?

R that originated as a purely statistical tool has meanwhile blossomed into a comprehensive workbench for different tasks. I am familiar with Mathematica and don't like how it forces a license on you....
102 views

### Efficient numerical approaches for pricing American Options with multiple sources of noise

I am looking for efficient numerical approaches for pricing American options when two or more sources of noise are involved (the simplest case coming to mind would be the Heston Model) Eventhough I ...
143 views

### Why systematic divergence between ^VIX and VXX?

Why is there systematic negative divergence between the VIX index and the VXX ETF meant to track it? http://finance.yahoo.com/q/bc?s=%5EVIX&t=5y&l=on&z=l&q=l&c=vxx
357 views

### How to compare different volatility measures?

I read the Euan Sinclair's book (Volatility trading) in which he suggests different volatility estimators (Close-to-close, Parkinson, Garman-Klass, ...). I am inquiring about what is the best stock ...
332 views

### S&P500 components at specific date [duplicate]

I am trying to reproduce a method presented in a scientific paper. They used the following dataset: daily closing prices of S&P500 stocks (the first 100, alphabetically by ticker, with a full ...
168 views

### Weighted average implied optionlet/swaptions volatility

Let an implied volatility curve/surface is made up by optionlets or swaptions Black's implied volatility. If you wanted to price, say, a FRN with cap and/or floor, a CMS et cetera you would input the ...
302 views

### PDE pricing of barrier options in BS

Path-dependent options in BS framework is intuitive to price with monte-carlo under risk-neutral measure, however it appears that several kinds can be priced with PDEs. I understand how does the story ...
92 views

### what is the vol in the BS formula?

I need to compute the delta of an option for which I know a) the time to maturity, b) the price of the option, c) the price of the underlying asset. what is the formula to get this delta It seems ...
411 views

### Why use implied volatility

First I'll describe the way I understood things so far from the literature, feel free to correct me here, and then I formulate some questions. I'd search through QSE, but haven't found so far similar ...
429 views

### Pricing an american style option on a bond future

what is the good way to pricing american option on bond future? From bonk fixed income securities 3rd by Tuckman, I understand how to pricing European option on bond future, but I still have no clue ...
210 views

### Overview of robust/regularized portfolio selection

I am looking for either a review paper or individual papers on portfolio selection using robust statistics or regularization (e.g. LASSO, Ridge, etc.) I.e. a review on methods along the lines of: M ...
409 views

### Value at Risk from Delta of a single asset portfolio

I am trying to figure out the following, for me unfamiliar type of question: Given is a single asset portfolio: the Delta of the portfolio is 15, the value of the asset is 10 and the daily volatility ...
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### Incorporating a stochastic correlation structure into a multi-factor model

I am considering extending a multi-factor fixed income stochastic model (e.g. LIBOR-Market) to use stochastic correlation matrices instead of determinstic ones. For pricing instruments with short ...
952 views

### What are the merits of pseudo random numbers over quasi random numbers in monte-carlo simulation?

I understand that quasi-random numbers have much better convergence, but are there any reasons for me to use pseudo-random numbers instead?
114 views

### FTAP a-la Harrison, Kreps and Pliska

I was reading the papers co-authored by Harrison, Kreps and Pliska, that initiated the formal research on the connection between pricing, martingale measures, arbitrage and completeness. I have some ...
314 views

### How to hedge a derivative that pays the reciprocal of the stock price?

1) Suppose S is the stock price, how to hedge a derivative that pays $1/S_t$ at time $t$? 2) Suppose there will be a dividend of amount $d$ between $t$ and $T$, how to hedge a derivative that pays \$...
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### On the interface between Quant finance and actuarial-science/insurance-math

Actuaries (at least in Europe) are frequently severily lacking in quant finance topics. At best they are familiar with B&S model. People going into quant finane or striving to become a quant on ...
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### Why is that a risk averse consumer buys the optimum insurance when there is actuarially fair insurance?

I think I understand the fact that when marginal utilities of the same function are equal (a consequence of the actuarially fair insurance), the independent variables in it must be equal -- right? But ...
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### Are PX_BID and PX_ASK on Bloomberg closing bid/ask? or are they daily averaged?

Bloomberg provides PX_BID and PX_ASK on a daily basis, but it's not clear exactly where these numbers come from. Are they closing bid and ask prices, or are they averaged over the entire day? For ...