The identification, assessment, and prioritization of risks, followed by coordinated and economical application of resources to minimize, monitor, and control the probability and/or impact of unfortunate events or to maximize the realization of opportunities.

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70 views

Controlling portfolio concentration

I'm working with a heterogenous basket of instruments (in volatility terms). Risk parity allocation seems to be useful for the portfolio( * 1/Volatility). However, there are times when the ...
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1answer
49 views

Ex-Ante tracking error how to determine the look back period

I am looking to compare the ex-ante predictions against the post values. I am using a look back period of ranges from 1 year to 5 years to construct my covariance matrix that I am using for my ex-ante ...
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0answers
26 views

Minimum PD under Basel II retail asset?

I have been told that under Basel II the minimum PD that one can assign to any portfolio/segment classified under the retail asset class is 0.33%. But Google searches return nothing and I can't seem ...
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0answers
50 views

regarding Basel III IRB method for credit risk

Would the exposures between standard method and internal rating based method for credit risk under Basel III remain same?I could not find any documents for IRB approach under Basel III. Is it still ...
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3answers
159 views

Is it wrong to use 'real world' probabilities for option valuation?

Is it wrong to use 'real world' probabilities for option valuation, even when the market is not liquid enough to delta hedge the option? My instinct is that it is wrong, because the time value of ...
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1answer
79 views

Interest Rate Swaps on Mortgages [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.
5
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1answer
253 views

Is there any open-source library, implementing “exchange” to be used for algorithms running on the same computer?

Question: Is there any open-source project/library, which can act as a "local exchange" for agents (algorithms), running on the same computer? Clarification: by "local exchange" I mean, that the ...
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0answers
21 views

any introduction on beta adjustment for basis risk?

On beta adjustment for basis risk, I could only find an online definition: Gap reports modified to mollify the errors caused by basis risk. The essential concept of beta-adjusted gap is that all ...
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1answer
116 views

What are the math topics involved in FRM 1

Is there a way to get the math curriculum for FRM level 1 without purchasing the Exam? I wish to take a look at the math topics and see if I have any chance of cracking it. But I could not find an ...
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1answer
142 views

When did volatilities start to smile in capital markets?

Glimpsing through literature, I read that volatilities in the equity market started to display a smile after the crash in 1987. But when did volatilities start to smile in capital markets?
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2answers
247 views

Large (5K-10K) non positive definite (particularly near singular) covariance matrices and treatments for Cholesky decomposition

I have a very large covariance matrix (around 10000x10000) of returns, which is constructed using a sample size of 1000 for 10000 variables. My goal is to perform a (good-looking) Cholesky ...
1
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1answer
173 views

Portfolio risk decreased by increasing share of riskiest asset?

In Parker's The Economics of Entrepreneurship he explains how certain theoretical models predict seemingly bizzare things (e.g. people becoming more risk-averse resulting in them taking riskier jobs) ...
3
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1answer
190 views

Risk and Reward in practice

My question is a bit philosophical. As a risk manager I often have to tell portfolio managers to reduce risk (e.g. due to VaR limits or exposure limits). Then usually the discussion arises that if ...
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0answers
377 views

What is the best alternative of Quantlib library

We need to build a Fixed Income Portfolio Risk Analytics solution. Somehow due to administrative reason we can't use Quantlib which is written in C++, even call it through SWIG via JNI. We have tried ...
5
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0answers
266 views

Examples of Spectral Risk Measures

Let's take the usual definition of a spectral risk measure. If we look at the integral we see that spectral risk measures have the property that the risk measure of a random variable $X$ can be ...
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1answer
219 views

Additive portfolio risk decomposition

In his paper Budgeting and Monitoring the Risk of Defined Benefit Pension Funds, Bill Sharpe writes: [...] the sum of the weighted marginal risks of the portfolio components will equal twice the ...
0
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1answer
92 views

Asynchronous Data Across Time Zones - RiskMetrics

I'm currently involved with a project to integrate RiskMetrics into our business and one issue we've identified is the treatment of market data timing across time zones. This can have the effect of ...
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0answers
77 views

How to show that the risk contribution function is or is not injective?

Assume a portoflio $w \in \mathbb{R}^n$, you can get the total risk contribution $\psi_i$ of asset $i$ by doing: $$\psi_i = w_i \frac{\partial \sigma(w)}{\partial w_i}= \frac{1}{\sigma(w)} \left[ ...
3
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1answer
204 views

Liquidity diversification

The liquidity diversification can be measured by the liquidity score, defined here as the ratio between the pure market P&L CVaR and the market+liquidity P&L CVaR. I have tried to reproduce ...
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2answers
139 views

Risk theory is a part of financial mathematics

In my program on Financial mathematics we studied such topics as pricing, portfolio management, risk theory (probability of ruin of an insurance company) etc. However, now I often see a line between ...
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1answer
121 views

What is the analytic value of an asset's risk contribution, if $n=2$?

The marginal risk contribution of asset $i$ is defined by Roncalli in his paper on ERC as follows: $$\frac{\partial \sigma(x)}{\partial x_i} = \frac{1}{\sigma(x)} \left( w_i \sigma_i^2 + ...
1
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1answer
161 views

why banks shall keep short term gap position low?

I'm reading "Insights for Bank Directors" (http://www.stlouisfed.org/col/director/reference_view.htm), a good introduction to commercial banks, based on a virtual bank "Insight". It talks about Gap ...
2
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0answers
104 views

Quantitative risk management strategy for a large participant in an illiquid market

Are there any practical quantitative risk management strategies for a large participant in an illiquid market with a few dominant players? By a large partcipant I mean someone who has significant ...
5
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3answers
919 views

Papers about risk managment in algorithmic trading systems?

I am currently doing my research for my master thesis, which will clearly focus on the question of risk managment in algorithmic trading systems. I have done research about this topic and found some ...
6
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2answers
986 views

Is Unexpected Loss ever used in Basel II?

In Basel II, EL is useful. It's calculated as $$EL = PD \cdot EAD \cdot LGD $$ in advance IRB (internal rate-based approach), Correlation $$R = 0.12 \frac{1 – e^{-50 \cdot PD}}{1 – e^{-50}} + 0.24 ...
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0answers
140 views

Market Exposure and Hedging

Normally the Market exposure associated with your stock/portfolio is your delta for that stock/ portfolio. Basic idea of hedging involved here is buying/selling respective futures depending upon ...
4
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1answer
376 views

Stability of correlations and volatility

I had a discussion recently about the stability of volatilities and correlations. If we take for example stocks and bonds (think of DAX and Bund) then I have seen changing volatilities (something like ...
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0answers
146 views

Regression in liquidity risk model of Jarrow/Protter

In the paper "Liquidity Risk and Risk Measure Computation" authors describe a linear supply curve model for liquidity risks in presence of market impact, i.e. impact-affected asset price $S(t,x)$ is ...
0
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1answer
140 views

how to quantify non-fundamental risk if variance is 100% discounted?

If there's better vocabulary, forgive me. If you were required to ignore variance as risk, how would you quantify non-fundamental risk? Many thanks in advance!
4
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1answer
219 views

Quantitative risk model for an open real estate mutual fund in Europe

How useful are quantitative techniques for the risk analysis/management of a open real estate fund? I am thinking about an approach for Europe (US and other markets are probably quite different - ...
7
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1answer
212 views

Consistency of economic scenarios in nested stochastics simulation

I am interested in references on research regarding the consistency of economic scenarios in nested stochastics for risk measurement. Background: Pricing by Monte-Carlo: For pricing complex ...
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2answers
117 views

Liquidity in a market risk model based on historical simulation

I would like to model liquidity effects in my risk model which is based on historical simulation. I would like to develop a practical solution that still captures liquidity effects. Most probably I ...
10
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1answer
285 views

A non parametric study of VaR with kernel density

I'm working in order to compare the calculation of the VaR between the methodology of copulas and kernel density, all this by using the software r. The process that I follow is: Obtain a sample ...
2
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2answers
762 views

Determining portfolio risk return in R given historical data for individual holdings?

Currently we compute portfolio risk and return via our own C# program. Historical data is stored in a SQL database. We want to compute the risk and return parameters - given a portfolio (i.e. not ...
4
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2answers
240 views

How to reactivate a risk mangement rule in an automated process

If some conditions are met (stop loss, trailing stop, take profit...) we will close ours positions (sell/buy) to avoid having more loss or to ensure profit. In an automatic trading system, it is easy ...
5
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0answers
181 views

How to build an electricity portfolio for an electricity production company?

I am referring to an electricity production company. Company is located in AsiaPac. The power is generated using Natural Gas fired combined-cycle power plants. Then this electricity is distributed to ...
4
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1answer
226 views

Applying interest rate shocks under Solvency II

I'm trying to figure out how one would apply the stress scenarios defined under the interest rate risk sub module of Solvency II. I understand that all future cash flows of an interest rate sensitive ...
2
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1answer
159 views

Risk management insurance (Solvency II / MaRisk)

I have a few different questions on topics involving an doing risk management in life insurance. If someone could shed some light on these issues, I would be very thankful. a) How does an actuary do ...
3
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1answer
276 views

Calculating portfolio VaR for (custom) leveraged products

I have been searching online for a few days regarding how to calculate portfolio VaR for a portfolio consisting of leveraged products - but so far, I have not been able to come up with anything ...
2
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1answer
637 views

Modelling VIX Futures for risk management

I would like to model VIX futures. The aim is not pricing but risk management. Thus I want to get risk measures like volatility right and be able to accurately calculate correlations when the VIX ...
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2answers
614 views

Multi asset option portfolio risk management (greeks and FX exposure)

I am running an options book containing listed options across multiple products. I trade mostly equity and index related options - with a preference for European expiration products. I trade products ...
11
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1answer
758 views

Modelling with negative interest rates

For a project, I am interested to model the impact of recently negative interest bonds on the portfolio. The literature on modelling negative interest rates is limited, and the only theory I could ...
6
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1answer
358 views

What distribution should I apply to estimate the likelihood of extreme returns?

Say I have a limited sample, a month of daily returns, and I want to estimate the 99.5th percentile of the distribution of absolute daily returns. Because the estimate will require extrapolation, I ...
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1answer
1k views

Calculating portfolio allocation beta with different asset classes?

I'd like to calculate portfolio allocation beta on a portfolio that has different asset classes. The portfolio may be made up of: ...
2
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1answer
207 views

Risk Decomposition of Index linked Bonds

Do you know how to decompose the risk of index linked bonds? To value a inflation linked bond, one plugs the real zero curve into the bond PV calculation, the real interest rate is as the fisher ...
2
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2answers
665 views

Usefulness of simultaneously buying triangular and multiple arbitrages on the Forex

I have a limited financial background but I'm trying to figure out the usefulness of buying size-n arbitrages (n > 3), and I wonder the kind of risks - if any - associated with such a strategy. Say ...
4
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1answer
234 views

What's the best way to test/validate an interest rate lattice model

I have some implementations of interest rate lattice models. I would like to verify their performance. What would be the best approaches? Currently I compare pricings of some interest rate dependent ...
4
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1answer
187 views

Are there any well known methods of testing through-the-cycle rating systems?

Rating systems, as defined by the Basel II Accord, can be classified into two broad types - through-the-cycle (TTC) or point-in-time (PIT) - and the probability of default predicted by such a system ...
5
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2answers
205 views

How many data points are required to perform a fitting of GPD?

A friend of mine told me that their firm is using Extreme Value Theory (EVT) to compute value of the Expected Shortfall 99% of a portfolio for their asset allocation process. To do so, they try to fit ...
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1answer
2k views

Risk Parity portfolio construction

If I would like to construct a fully invested long only portfolio with two asset classes (Bonds $B$ and Stocks $S$) based on the concept of 'risk parity' the weights $W$ of my portfolio would be the ...