The possibility that a negative event (such as a loss) will happen.

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2answers
130 views

Where to find good notations to teach investment portfolio maths?

I don't know whether this question is in order here. I do a bit of teaching and I am preparing my own notes but I thought that his should not be necessary. In which book/pdf on the web can we find a ...
0
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1answer
32 views

How to determine portion of portfolio's risks from components?

Say I have a portfolio of 3 stocks $A,B,C$ with $\mu_A = 5%$, $\mu_B = 10%$, $\mu_C = 15%$ and volatility $\sigma_A = 10%$, $\sigma_B = 15%$, and $\sigma_C = 25%$. Let us also say that correlations ...
0
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0answers
15 views

Adding negative EV position to portfolio for diversification?

Say I have a portfolio of expected return $10%$ and volatility $20%%. If I have another asset that is either: Negatively correlated Positively correlated Uncorrelated With negative expected return ...
0
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1answer
17 views

Why is the Risk Free Rate 1 over Contingent Claim Prices?

Reading Asset Pricing by John Cochrane (2005), in his second chapter he defines the risk free rate as: Rf = 1 / sum [pc(s)] Where pc(s) are state contingent claims, where s is the state of nature ...
1
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1answer
193 views

how can we know the residual return will be uncorrelated with the market return

I was reading that if we know a portfolios beta we can break the excess return on that portfolio into a market component and a residual component. ...
1
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0answers
31 views

calculating long short portfolios currency exposure

I have calculated the currency exposures of a long short portfolio simply by summing the weights of each stock. However I was told that I need to incorporate the dollar borrowing (short dollars), I ...
3
votes
3answers
61 views

Are smart beta and risk parity the same?

So from what I have been reading online, smart beta ETFs aim to use a different type of weighting (instead of by market cap as traditional ETFs like SPY do to track an index) to achieve positive ...
1
vote
1answer
39 views

given someone's past investing history, is there a way to calculate his risk aversion?

given someone's past investing history, is there a way to calculate his risk aversion? Say, we know this client's investment history for example his past return, is there a way to calculate his risk ...
1
vote
1answer
61 views

What are the some good measures of risk for options?

I've seen a number of measures of risk in my reading: Sharpe, Sortino, Calmar, etc. In CAPM there is Beta, and I've seen papers discussing how to modify CAPM for asymmetry. There is Value at Risk and ...
1
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0answers
34 views

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 ...
5
votes
4answers
619 views

Could we have prevented the World Economic Crisis in 2008?

There is an expression - "Too big to fall." - which means that if a bank or a financial institution manages a sufficient part of the financial assets than the state can't afford that this bank or ...
0
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1answer
43 views

Bilateral Counterparty risk

Why do counterparty risk pricing adjustments need be considered in a bilateral counterparty risk perspective? Thanks
0
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3answers
101 views

What assets other than bonds are risk free?

I saw a question the other day that said Assume you have only two assets to build a portfolio. Name and explain three scenarios under which a completely risk-free portfolio can be formed? I ...
1
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1answer
72 views

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 ...
1
vote
1answer
33 views

Calculate total risk [closed]

I have a question regarding how the risk is calculated, if I have only the returns. I think the risk premium (rp) is just the average of the returns and the sharpe ratio is the risk premium divided ...
4
votes
3answers
169 views

Why are investors risk-averse?

In CAPM, we assume people are risk-averse and people get compensated for the systematic risk they suffer. The assumption that most people are risk-averse makes sense, but why are the rational ...
1
vote
1answer
41 views

Non-contractual accounts behavioural study

I need to carry a non-contractual accounts behavoiural study for a bank. The objective is to estimate core/non core ratios and then bucket and ftp them. Any recipe where to start? I have 3yrs of ...
3
votes
0answers
90 views

Non-parametric estimator - CVAR / Expected shortfall

Is the estimation of the CVAR using known non-parametric methods (histogram , kernels) is different than the estimation of any other R.V.? If the answer is yes, then I am interested to know whether ...
0
votes
0answers
11 views

Standardized and Advanced IRB together

Is it possible to use Standardized approach and AIRB together for the same asset class? For example sovereigns see a risk weight of 0% if AAA, but in AIRB they might not be seeing 0 weight. Is it ok ...
3
votes
2answers
155 views

Dollar-Neutral Strategy

Here is an excerpt from E. Chan's book Quantitative Trading, However, if the strategy is a long-short dollar-neutral strategy (i.e., the portfolio holds long and short positions with equal ...
1
vote
3answers
125 views

Appropriate measure of risk if return are not normally distributed

Normally standard deviation of an assets is used as an proxy for the risk in the financial market. In reality distribution of return is more peaked at the center and higher mass in the tail as ...
3
votes
1answer
105 views

Spectral and distortion risk measures

Is there any difference between the spectral and distortion risk measure? Or is it just a different name for the same kind of risk measure?
3
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2answers
100 views

Mathematical definitioln of Potential Future Exposure

I have come across a risk measure called "Potential Future Exposure" and I have not really understood the meaning of it. Knowing that this has to do with counterparty credit risk, I read different ...
0
votes
1answer
55 views

What are “risk” or “risk numbers?”

I work in finance but do not have any formal education in the subject (I do have a PhD, but not in finance). I've picked up a lot of the jargon but there's one thing that I haven't figured out, and it ...
0
votes
1answer
83 views

Is Value-at-Risk translation invariant?

Let: $X=V_1-V_0R_0$ where $R_0$ is the interest rate. Then, is it so that this risk measure is Translation Invariant as: ...
2
votes
1answer
74 views

Option analysis

Assume zero dividend and that the strike price for a European call option on a stock at a fixed maturity T and strike price K is given by C(K).Suppose that $C(K)=e^{-k}$ for all $K\geq 0$ ,then, I ...
1
vote
1answer
86 views

Calculate VaR for a liabilty taking a exponential distribution?

An insurance company faces the liability loss off $L = \begin{cases} 0, & \mbox{with probability } 0.75 \\ Z, & \mbox{with probability } 0.25\end{cases}$ where $Z\sim Exp(\mu)$. I want to ...
0
votes
1answer
39 views

Convex risk measure and a coherent risk measure?

A coherent risk measure is: $\rho(\lambda X_1+(1-\lambda X_2))$ How can it be shown that everey convex risk measure is indeed a coherent risk measure? I assume that it is enough to show that a ...
0
votes
2answers
49 views

What risks is an exchange exposed to?

Putting aside operational/reputational/business risks for a minute, a financial institution is concerned with the risk of losing money on their positions. What about an exchange ? I can only think of ...
2
votes
1answer
35 views

efficient portfolio with given risk

Is there a formula to derive an efficient portfolio to maximise the return, x'mu, for a given risk, x'S x (where x are the portfolio coefficients, mu is the mean return for each asset and S is the ...
1
vote
1answer
68 views

CVA using difference between 2 counterparty's spreads

The approximation to calculate CVA as a spread is $CVA = Spread * Expected$ $Exposure$. I assume this means the counterparty's spread over a proxy for the risk free rate such as LIBOR or OIS. Is this ...
2
votes
1answer
144 views

Is marginal probability of default the same as conditional probability of default?

I'm thrown off by the term marginal probability of default. I've seen it defined by some authors as synonymous term for conditional probability of default conditional probability of default: ...
0
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0answers
26 views

Credit risk terms differences:

What are the differences between these terms: Contingent Credit Exposure Exposure profiles, Settlement Exposure, Negotiable Paper Exposure. Many thanks!
1
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1answer
626 views

Cumulative vs marginal probability of default

I understood the cumulative (aka unconditional) probability of default to be the probability of defaulting in a given period eg: between years 1 and 5. Further $\pi_{cumulative} = 1-e^{-\lambda*t}$ ...
2
votes
1answer
54 views

Calculating probability of default with no recovery

Given two methods to calculate the 1 year conditional probability of default of a zero coupon bond, I've come up with slightly different but close results. From my approaches below, is it reasonable ...
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0answers
34 views

Lambda in RiskMetrics for fixed income

What is the default lambda proposed in RiskMetrics for fixed income?
0
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1answer
109 views

Calculating expected shortfall

I'm trying to calculate the expected shortfall for the below scenario. I don't understand why the 1.04% probability of 0 bonds defaulting is used as a weight when calculating ES, since the binomial ...
2
votes
0answers
28 views

How does risk attitude influence trading? (Bibliography seeking)

I wonder how risk-averse or risk-seeking investors behave in a stock market. Is there any bibliography that deals with that? For example, suppose that we have a risk-averse investor that buys a ...
2
votes
1answer
211 views

What are the pros and cons of historial and Gaussian approaches to VaR?

What is the difference between historical and Gaussian method of VaR estimation? I know how they are calculated, but what are the pros and cons of each?
0
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0answers
52 views

How to fit a copula to empirical data?

There are numerous types of Copulas one can choose to fit empirical data. My question is wow to select the 'best' copula to fit the data. More specifically, let's assume empirical data ...
2
votes
2answers
71 views

Meaning of conservative in risk management?

I believe this question is best asked here, as it pertains to risk, rather than English SE. What is the meaning of conservative in the context of risk management? In general, conservative would mean ...
2
votes
4answers
176 views

Bond portfolio hedging against currency risk

How do I hedge a bond portfolio against currency risk? Ideally I'm looking for books or other references on this topic.
3
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0answers
97 views

What is the difference between gross and net enterprise wide risk?

Reading a Basel paper on recommendations on internal economic capital models. One of the recommendations says members of the bank's board should be able to demonstrate understanding of the difference ...
4
votes
1answer
78 views

How does RAROC identify capital requirements?

I've read that RAROC is used to set economic capital requirements for different products, projects, business lines etc. Is it just a matter of solving for the required economic capital level to ...
1
vote
4answers
127 views

What is wrong with this argument?

Futures trading in stock index gives leverage. Leverage cuts both ways. It can give you huge pct gains or wipe you out. Typically stock index futures for the major markets have limited daily pct ...
-1
votes
1answer
117 views

Where can I find data source for structural models?

I am starting a project to implement the Black-Merton-Scholes model from this book in R. However, I am looking for, ideally free, data sources. Still I have access to a Bloomberg terminal. Can you ...
1
vote
2answers
133 views

How are we underestimating liquidity risk?

Malz explains that marking to model can underestimate liquidity risk. From his example, I don't see it. I can see us underestimating market risk because we are using an incorrect price. Why does a ...
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0answers
38 views

Using a hybrid approach to calculate operational risk capital

I've read that a hybrid approach combing scenario analysis and loss distribution analysis can be used to calculate operational risk capital under the advanced models approach. I've read a couple ways ...
3
votes
1answer
38 views

What is the date of reserve (operational risk)

One of the BCBS papers on operational risk says the following: Consistent with other operational risk losses, a bank should use a date no later than the date of reserve for including legal ...
3
votes
2answers
60 views

Can Economic Capital cover Regulatory Capital?

If economic capital is set by the institution to cover unexpected loss (given a confidence level) and regulatory capital is set by the regulator, can one "absorb" the other? For example, if I ...