# All Questions

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### Intuition behind American Option pricing

The price of an American option is given by $$V_n = \max\left(G_n,\frac{pV_{n +1}H^d + qV_{n + 1}H^u}{1 + r}\right)$$ where p, q are the risk neutral probabilities. I have two questions: How can ...
57 views

### What do “Exposure Bounds” mean in Portfolio Optimization?

I've just started reading up on Portfolio Optimization models and have come across the use of exposure bounds to mitigate the sensitivity of the optimized model solution, owing to parameter estimation ...
113 views

### Constructing Volatility Smile from Implied Volatility & Delta

I have implied volatility data for call and put options (expiring in 1 month from any given date) for a particular stock. In addition, I have the delta for the options. However, I have no information ...
588 views

### What software should I use for forex arbitrage?

These are my requirements: Speed of lookup & update Speed of crunching large numbers and combinations The exchanges I want to connect to will mostly provide json feeds to their orderbooks & ...
67 views

### Yahoo OHLC data reflects nonexistant stock split

Can anyone explain why the OHLC data I'm getting from yahoo appears to reflect stock splits during times when no significant corporate actions have occurred? For example, I'm looking at ABT and yahoo ...
69 views

### Fixed volatility portfolio with max returns creates skewed results

I am trying to create a portfolio of only four components using the mean-variance optimization (MVO). I am setting up my problem such that I want to maximize the expected returns with a fixed vol ...
96 views

### State Space models with Short Time Series

My problem is that I have a state space model that I estimate using the Berndt–Hall–Hall–Hausman (BHHH) algorithm. The state space model is relatively simple in that the hidden part follows a pure ...
409 views

### Algorithm to detect the aggressor side of a trade

Most of the exchanges provide aggressor side property of trades (e.g. Tag=5797 AggressorSide on CME) in their raw data. But many data providers do not provide this information via their datafeed ...
113 views

### Explicit solution SDE

I have the following SDE: $$dY_{t}=A\left(\frac{W_{t}^{1}}{\sqrt{t}},\frac{Y_{t}}{\sqrt{t}}\right)dW_{t}^{1}+B\left(\frac{W_{t}^{1}}{\sqrt{t}},\frac{Y_{t}}{\sqrt{t}}\right)dW_{t}^{2}$$ where ...
243 views

### Which is the better risk sensitive measure?

Consider the two following optimization problem 1) $$\min_{\theta} \ln E_{\theta}[ e^{X}]$$ 2) $$\min_{\theta} E_{\theta}[ X]$$ with the constraint $$Var_{\theta}[X] <c$$ Is it true that ...
59 views

### Contribute to Finance related projects [closed]

I am currently a student and in the future would like to work as a software developer for a financial institution such as Bloomberg, Factset etc. I was looking to contribute to some open source or ...
103 views

### Nested volatility

The introduction VIX options makes the concept of "volatility of volatility" a real life concept. The idea of "nested volatility" seems interesting, and I am wondering if there are any academic ...
88 views

### Art market specificities

I am looking for some reference on the art market in light of quantitative finance. I am interested in some things: The market in general, how is it compared to financial market ? What about common ...
82 views

### CVA/CDVA - Worsened Credit Quality implies profit?

In the book Counterparty Credit Risk, Collateral and Funding by Brigo et al I found the following: credit quality of investor WORSENS $\Rightarrow$ books POSITIVE MARK TO MKT credit quality of ...
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### How does this follow from the separating hyperplane theorem?

This is from Pliskas book in mathematical finance. I do not know what was best to write the question so I included the pages from the book. He has not written what form of the separating hyperplane ...