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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1answer
135 views

What's the disadvantage of ARMA-GARCH model?

I want to ask why ARMA-GARCH is more and more popolar, and what's the advantage of this model.
1
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2answers
101 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 ...
0
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0answers
61 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 ...
1
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0answers
166 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 ...
11
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1answer
3k views

Which approach to estimating fundamental factor models is better, cross-sectional (unobservable) factors or time-series (observable) factors?

There are many approaches to estimating fundamental factor equity models. I would like to focus on two traditional methods: The time-series regression approach of Fama and French. Factors are ...
1
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2answers
281 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 ...
-2
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1answer
284 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.
4
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1answer
390 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 ...
11
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3answers
1k views

Value-at-Risk of the sum of two dependent lognormal random variables

Hy I posted this question first at mathflow.net they suggested me this page, which I was not aware of. Question: Let $(X_1,X_2)$ be a multivariate normal random vector ($X_1$ and $X_2$ need not be ...
1
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1answer
417 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 ...
6
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1answer
157 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?
1
vote
1answer
200 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
votes
1answer
217 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 ...
6
votes
0answers
466 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 ...
2
votes
0answers
752 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 ...
1
vote
1answer
342 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
votes
1answer
123 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 ...
1
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0answers
88 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
votes
1answer
499 views

Basel II modelling vs Solvency II modelling?

How do the two modelling frameworks compare? I spent some time developing PD LGD and EAD models for banking portfolios... But I never did insurance modelling project which I suspect is based on ...
10
votes
1answer
359 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 ...
5
votes
3answers
1k 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 ...
2
votes
2answers
161 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 ...
4
votes
1answer
136 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
vote
1answer
346 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
votes
0answers
118 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 ...
6
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2answers
2k 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 ...
1
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0answers
162 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
votes
2answers
254 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 ...
4
votes
1answer
521 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 ...
7
votes
0answers
194 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 ...
2
votes
1answer
909 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 ...
0
votes
1answer
141 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
votes
1answer
340 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 - ...
4
votes
1answer
238 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 ...
4
votes
1answer
385 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 ...
1
vote
2answers
154 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 ...
7
votes
4answers
24k views

What are some examples of non-financial risks and contingency plans?

There are many online sources about common risk factors in investing and trading e.g. market risk, credit risk, interest rate risk. There are various factor models (Fama-French, Carhart) and risk ...
2
votes
2answers
1k 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 ...
2
votes
1answer
184 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 ...
4
votes
1answer
398 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 ...
1
vote
2answers
921 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 ...
6
votes
1answer
378 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 ...
1
vote
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
votes
2answers
938 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 ...
2
votes
1answer
248 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 ...
4
votes
1answer
272 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 ...
5
votes
2answers
211 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 ...
16
votes
4answers
2k views

How are risk management practices applied to ML/AI-based automated trading systems

A potential issue with automated trading systems, that are based on Machine Learning (ML) and/or Artificial Intelligence (AI), is the difficulty of assessing the risk of a trade. An ML/AI algorithm ...
9
votes
1answer
402 views

copula-marginal algorithm

has there been any interesting work or advances on the copula-marginal algorithm (CMA) as proposed by Attilio Meucci. I am unable to find anything on the web other then the original article, here is ...
7
votes
1answer
432 views

What is the optimal strategy when there is an equal chance for gain or loss but the size of the potential gain is larger?

I'm investigating a situation where the chance for gain or loss is the same, but the amount gained is greater than the amount that is lost. For example, the gain would be about 30% of the trade ...