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Quantitative Finance Weekly Newsletter - Thursday, November 24, 2016

Quantitative Finance newsletter

Top new questions this week:

How to calculate the distortion function for CVaR?

Can anyone give me some hints as to how to prove that $$g(x) = \begin{cases} \frac{x}{1-\alpha}, &0 \leq x \leq 1-\alpha\\ 1 , &1-\alpha \leq x \leq 1 \end{cases}$$ ...

risk risk-management coherent-risk-measure cvar  
asked by Reuben Schlotter 6 votes
answered by Reuben Schlotter 2 votes

Problem on Characteristic function in Heston model

I know the Heston model .In this model, we have $$f(\Phi,x_t,v_t)=\exp(C_j(\tau,\Phi)+D_j(\tau,\Phi)+i * \Phi * x_t)$$ How can we extract the Characteristic function as follows ...

finance-mathematics heston  
asked by finance 6 votes
answered by Behrouz Maleki 7 votes

Is Value At Risk additive?

I have computed the value at risk of 2 different commodities. Assuming they have not correlated, can I just sum the two standalone VaR to get my overall portfolio's VaR ?

option-pricing var  
asked by RyanB 3 votes
answered by SRKX 6 votes

Is this process of Brownian motion?

Background Information: The process $W = (W_t:t\geq 0)$ is a $\mathbb{P}$-Brownian motion if and only if i) $W_t$ is continuous, and $W_0 = 0$ ii) the value of $W_t$ is distributed, under ...

stochastic-processes stochastic-calculus wienerprocess  
asked by Wolfy 3 votes
answered by Behrouz Maleki 7 votes

Annualization of coskewness and cokurtosis

I am constructing a mean-variance-skewness-kurtosis portfolio based on monthly data with a holding period of one year. Meucci describes how to annualize higher order moments in general, but not how to ...

modern-portfolio-theory portfolio-optimization skewness kurtosis annualized  
asked by Jensc 3 votes

Is forward price trendless under the real-world measure?

I recently went through some commodities forward curve modeling documentations, where a diffusion model for the forward price $F(t,T)$ was modeled as a driftless diffusion process (as a function of t ...

risk-neutral-measure commodities risk-premium  
asked by user138668 2 votes
answered by Quantuple 2 votes

Which models do Bloomberg/Reuters use to derive implied volatility for interest rate derivatives with negative forward rates?

can anybody tell me which models Bloomberg and Reuters ares using to derive implied volatility for interest derivatives with negative forward rates? I know that Black-76 is the standard model, and ...

implied-volatility derivatives bloomberg negative black76  
asked by Philipp 2 votes

Greatest hits from previous weeks:

Is there any thing out there as a substitute for KDB?

thanks a lot for your discussions on the original post. following your suggestions, let me re-phrase a bit : kdb is known for its efficiency, and such efficiency comes at a terrible price. However, ...

programming database  
asked by Peter Peter 26 votes
answered by mollmerx 14 votes

Why are GARCH models used to forecast volatility if residuals are often correlated?

The answers to this question on forecast assessment suggest that if the sequence of residuals from the forecast are not properly independent, then the model is missing something and further changes ...

volatility time-series forecasting best-practices  
asked by kaybenleroll 17 votes
answered by Richard Herron 12 votes

Can you answer these?

Annualize a covariance matrix?

I am attempting to find the annualized covariance between assets in a portfolio but I only have daily data. So how do I annualize the covariance matrix between these assets?

covariance-matrix  
asked by Nikolas Garcia 1 vote

Proving we have a $\mathbb{Q}$-Brownian motion

Background Information: This question comes from the book Financial Calculus by Baxter and Rennie. WE start with looking at the marginal of $W_T$ under $\mathbb{Q}$. We need to find the likelihood ...

brownian-motion mathematics finance-mathematics financial-engineering  
asked by Wolfy 1 vote
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