# Tagged Questions

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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### Overestimating or underestimating risk?

This question might be silly, but I want to be sure of myself. If one has Value-at-Risk forecasts and there are zero VaR breaches (i.e. no return value is smaller than or equal to the VaR value) then ...
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### How to perform risk budgeting for non-linear portfolios?

I am using this question to compute optimal weights following a risk budgeting approach. The problem is I am using non-linear portfolios (options,equity,fixed income,fx). What I am looking for is ...
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### How to fit a skew normal/t copula to data

I want to use either the skew normal copula or the skew t copula with a time-varying correlation matrix. But so far I haven't found any way to implement this either in R or Matlab. Would anyone be ...
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### Reference for risk conributions of fund-of-funds relative to blended benchmarks

I am looking for a reference for the attribution of relative risk of a fund-of-fund compared to a blended benchmark. I am aware of decomposition into asset allocation decisions and stock selection ...
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### ES not elicitable

Expected Shortfall is not elicitable as some papers have pointed out. That simply means that there is no scoring function that elicits ES. My question is, does this imply that Expected Shortfall ...
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### How do you quantify credit risk?

I am trying to figure out how to quantify the change in price on a bond for a change in credit risk. I'm not even sure how to quantify a change in credit risk, but I'm thinking possibly something ...
146 views

### Currency risk USD>EUR>EGP

Seeking input on hedging risk on USD to Euro with a 3rd component of payroll issued in Egyptian Pounds. We are a US corp invoicing a Germany entity in Euro with massive payroll being paid in Egyptian ...
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### Difference between Risk Transfer and Risk Sharing

There seems to be a thin line between risk transfer and risk sharing. Can someone explain with example how can this be differentiated?
124 views

### CDS spread scenarios from historical market data

I'm searching for information on the best way to generate scenarios to be used in VaR or ES calculations, for CDS spreads. Given that we need significant historical data in order to achieve a decent ...
244 views

### Hedge Fund risk management on a daily basis

Since Hedge Funds/Fund of Funds report on a monthly basis usually within 10 days after the month end, monitoring and managing (hedging) potential risks is quite a difficult task. Having done some ...
61k views

### How to calculate unsystematic risk?

We know that there are 2 types of risk which are systematic and unsystematic risk. Systematic risk can be estimate through the calculation of β in CAPM formula. But how can we estimate the ...
221 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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### help with p&L vectors historical simulation

My question is about the calculation of the Value at Risk based on historical simulation. I have a table which contains the P&L-vectors of each day of one year. But I don't know what is contained ...
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### How is possible to relate volatility with risk?

I read that equallying voliatility with risk is one of the hardest critics on Quantitative Finance and that this is -indeed- the fundamental base of Quant. This question is analogous considering that ...
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### Do you know fast to compute, yet plausible risk attribution measures?

I am looking for a fast to compute, yet plausible risk attribution measure based on the risk measure used to compute overall risk. To be more specific, assume that my risk measure is the VaR of a ...
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### (Reproducible example) Conditional returns in GARCH-EVT-Copula context (with R)

I'm estimating a time-varying correlation matrix for the normal copula using the rmgarch package from R. I've found this code in the rmgarch.tests folder. I use the ...
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### Liquidity horizons of risk factors categories

I'm reading the consultative document of the BCBS on the Fundamental Review of the Trading Book: http://www.bis.org/publ/bcbs265.pdf Table 2 on page 16 shows the liquidity horizons for 5 broad risk ...
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### Optimal portfolio construction questions [closed]

I am working on a paper that tries to build an optimal portfolio to hedge various risks (mainly interest rate risk). I have never done this before. Which software program should I use to create an ...
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### Estimate Option Price Given X% Move N Days in the Future

I was wondering if someone could recommend a method to estimate the price of an option N days from now given an X% move in the underlying. I have fitted a volatility surface but where I am running ...
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### 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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It is known that the VaR (Value at risk) doesn't fulfill subadditivity, i.e. $VaR(X)+VaR(Y) \le VaR(X+Y)$ But for elliptical distributions subadditivity is true. Questions: (1) Which ...
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### Coherent Risk Measures and VaR

I am working on a problem that is worded exactly as follows: Consider the functions $\rho_{1}$ and $\rho_{2}$, defined on the space of random variables with finite expected value in the following way ...
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### What are “df”, “t”, and “p” in these sharpe ratio related estimates?

I am looking at some sharpe ratio related estimates and have not seen Sharpe stats broken down this way before. I don't know what is meant by df, t, and p. Can someone explain that to me? Thank you!...
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### Backesting VaR on overlapping intervals to year's end

Let us assume that each month of the year (up to November) we calculate a VaR (say 99%) with holding period to the end of the year. Thus the holding period starts with 12 months and goes down to 1 ...
128 views

### Trouble verifying roll rate model

I found this paper on roll rate analysis via a google search. I would post a link, but every page is stamped with "CONFIDENTIAL" at the bottom (humorous since it is easily found). In a nut-shell, ...
22 views

### Methodologies behind shocking a composite index instrument, what assumption distinguishes these?

Suppose I have a composite index (rebalancing or non-rebalancing) that at present time has some base value $B_{\text{base}}$ in some base economy. I am in the process of shocking the economy on which ...
47 views

### Greeks across different underlying

To monitor risk of a client portfolio, does it make sense to accumulate Greeks across different underlying? If yes, how can Greeks be normalized across different underlying?
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### Leverage and Drawdown

What are the risks of deleveraging a leveraged long/short equity portfolio when going into a drawdown at certain drawdown stops, like deleveraging by 30% when breaching a -5% drawdown, deleveraging a ...
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### Bayesian analysis in R: Probability of default, low default portfolios

I want to apply the knowledge of this paper (Bayesian estimation of probabilities of default for low default portfolios, by Dirk Tasche) in R, but I can't find the right bayesian package and functions ...
886 views

### What to use as portfolio diversification measure?

Suppose that we have a portfolio of $n$ assets. A perfectly diversified portfolio is one in which each asset has equal weights, i.e. each asset has weight $\frac{1}{n}$. Of course this is usually not ...
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### Why use Moody's KMV EDF for one year

If I were to use Moody's KMV proprietary database with expected default frequqncies(EDF) for sectors and countries, along with aggregations for financials and non-financials, significant banks etc: ...
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### In May of 2005, several large hedge funds had speculative positions in CDO tranches

These hedge funds were forced into bankruptcy. This was due to: the correct answer is: Long Mezzanine and Short Equity Tranche position when correlation of Mezzanine tranche decreased. Can anyone ...
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### How to attribute the PL dollar impact of change in basis for cross currency basis swaps

I have a portfolio of foreign bonds that were hedged using fixed to floating interest rate swaps and then converted back to domestic currency via cross currency basis swaps. How do I calculate the P&...
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### Vol surface changes as underlying moves

We market make in highly liquid, near term options markets. I want to build a risk report that tells us how our portfolio's greeks will change as the underlying moves. This is for risk management in ...
237 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 ...
587 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 ...
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### Large deviations theory and extreme value theory

I'll enter into details of both, sooner or later, but for the moment I'm concerned about the differences (and relationships, if any) between these two theories. Can someone give me a brief, but still ...
32 views

### Portfolio Analytic Metrics for Portfolios with Serially Correlated Returns

I just read Andrew Lo's paper from 2002 "The Statistics of Sharpe Ratios" and am wondering if anyone knows of any other papers/docs/resources that explore the impact of serially correlated returns on ...
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### Does anyone know where I can find a free efficient frontier tool, or an informative and legitamate/academic graph of the efficient frontier?

I'd like to build a portfolio based upon modern portfolio theory and I'd like to find a tool I can use to calculate the proper mix of asset classes. Can anyone help with this? I think a good chart/...
2k 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 ...
314 views

### Difference between Risk avoidance and Risk transfer

I was hoping some could explain the two terms namely, risk avoidance and risk transfer. Also, can a risk be avoided by transferring it?