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

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14 views

How to reduce the variability of investment returns by increasing average expected return? [on hold]

I will illustrate my question with a simple example: Say a stock called ABC is currently trading at 100.00, with an average expected return of 0% per year, and has a 50% probability of touching 90.00 ...
1
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0answers
63 views

Financial risk and Matlab

What toolbox are more suitable for a risk analyst. I found this: Optimization toolbox Global optimization toolbox Econometrics toolbox Financial toolbox Statistics toolbox And also I have as a ...
1
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0answers
46 views

Risk measures, Risk Management and Financial Risk Area

I'm currently searching material about market risk and I learned about coherent risk measures, VaR, CVaR (or expected shortfall), volatility. All that because I have to make a Financial Risk Area for ...
0
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0answers
22 views

Solvency Problem for Financial Institutions

According to my finance lecture, the motivation for risk measures is grounded in the solvency problem: Risk measures are used to determine the amount of capital to avoid insolvency of the financial ...
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0answers
33 views

volatility grouping

I was working on risk levels of a combined portolfio (includes options,futures as well as stock). While using greeks we can asses some value of a portolio, but when one needs to assess some kind of ...
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1answer
62 views

Factoring risk premium in to Forward Rate calculation

This is a self study question. I'm calculating a forward rate. Specifically, I have that in a country X, the Spot Rate is 5X/1US. I also have that the 1 year interest rate is 13% in country X and ...
2
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1answer
41 views

Variability in the Expected Shortfall estimator

Are there any results for calculating the variability in the Expected Shortfall measure. I am looking for Large sample confidence intervals under Normality for Expected Shortfall or calculation of ...
3
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2answers
95 views

Where can I find a list of VaR and CVaR formulas for continuous distributions?

Where can I find more VaR and CVaR formulas for continuous distributions? I collected a list here:
2
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1answer
48 views

What are the properties of the Expected Shortall measure when split in multiple time periods?

Suppose I have a single time series of losses $L$ that consists of two sub-parts $L_1$ and $L_2$. Is there a relationship that relates the expected shortfall of $L$ to the expected shortfall of $L_1, ...
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4answers
360 views

Is there anyone still using Markowitz modern portfolio theory?

I was reading about the MPT (Use standard deviation as risk measure) on "Mathematics for Finance by Marek Capinski". I was just wondering is there anyone actually applying this theory to their ...
0
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1answer
75 views

CAPM (SML) Problem

I got 1.3636 for beta for the problem below(165/121). But I became so unsure about the answer when I solved (c) because then the market risk becomes larger than the variance of Stock A. ...
3
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9answers
350 views

Why would there be a positive risk-free rate?

Most financial models include a risk-free rate or risk-free asset. Why should there be such thing as a positive risk-free rate? I dont see why an asset would provide a positive (real) return if it ...
1
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1answer
43 views

Hedging using relative values

Consider I have two stocks $A$ and $B$, $A$ is trading at $\$40$ and $B$ at $\$30$. The standard deviation of its returns are $\sigma_A=25\%$ and $\sigma_B = 30\%$. Correlation between the returns is ...
2
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0answers
63 views

Beta distribution - Holding period

Let's say I have a risk factor that is defined between [0,1], such as recovery rates. Assuming I have daily data, I can estimate the "daily VaR", i.e. the tails over 1 day period, since the data is ...
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0answers
40 views

how to find CVaR/AVaR for triangular fuzzy no

While going through different methods of risk measure i came across AVaR/CVaR, while i was calculating AVaR/CVaR in credibilistic environment using VaR, i got stuck in the calculations eg. For ...
1
vote
1answer
133 views

Which is the better risk sensitive measure?

Consider the two following optimization problem 1) $$ \min_{\theta} \ln E_{\theta}[ e^{X}]$$ 2) $$ \min_{\theta} E_{\theta}[ X]$$ with the constraint $$ Var_{\theta}[X] <c$$ Is it true that ...
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3answers
225 views

How to create a model or formula for evaluating trade opportunities

I want to build a formula to produce a score for a potential trade based on 4 variables, time, return, liquidity of security, and probability of failure. For a set of potential trades I first ...
1
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0answers
32 views

Doubt on risk cost criterion

I want to minimize some kind of risk sensitive cost. But, I am confused what cost criterion should I use. I am aware of only expected exponential utility. I want to know what are the other such ...
2
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0answers
35 views

Formal Proof of Immunization Techniqu

Please correct me if I am wrong in understanding the Immunisation Technique behind bond interest rate risk management. It says that any change in interest rate can be neutralised by reinvesting the ...
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0answers
42 views

proper choice of risk aversion parameter in the risk-sensitive cost-criterion

Suppose I want to minimize certain risk sensitive cost. Is it a valid question to ask what is the proper (also in which sense) choice of risk aversion parameter in the risk-sensitive cost-criterion ? ...
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0answers
134 views

Difference between “basic risk” and “basis risk”

Returning to Futures contracts, basic risk refers to the risk remaining after the hedge has been put in place and essentially represents the difference between the Futures price – should the ...
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1answer
56 views

Math basics of Equally-weighted Risk contributions

i'm writing my BA Thesis about "Equally-weighted Risk contributions". Can anyone recommend math books for further understanding of Risk contributions?
2
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4answers
317 views

Implementing A 50/50 Prediction Model Strategy

Reworded the question for clarity (see edits for original post): How can one knowingly foresee where a 50/50 prediction model will be profitable? For previous posts: I understand that if I have a ...
1
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2answers
79 views

is there an accepted method for quantifying risk of inaccuracy of nascent trm systems?

Have a somewhat meta question here. I am part of a trading risk management implementation project. I also manage day to day risk reporting to management and the trading desks. Our implementation was ...
4
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1answer
120 views

questions on VAR manipulation

The book of Financial Risk forecasting by Danielsson gives the following example about VAR manipulation. I have two questions: 1) If $0> VAR_1 > VAR_0$ , why the following figure plots it as ...
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2answers
92 views

Basis Risk for Futures/Options

I am just reading about basis risk. It is being described as risk of the price of the hedging instrument not fluctuating the same as the instrument itself. I was just wondering, if we bought a ...
0
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1answer
276 views

Directional/Non-Directional Risk

Can someone explain to me what is direction/non-directional risk? Went through few sites but couldn't understand much.
1
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1answer
86 views

regarding Basel II III model

I may have to get involved in some projects using Basel II, III model for risk modeling, to which I have no background. Are there any good book/tutorials to recommend? What are the underlying ...
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0answers
52 views

volume augmented garch(1,1) model in matlab

Actually I want to add volume traded of a stock in my Garch(1,1) model to forecast the volatility.In Matlab I can specify the model as garch(1,1) and then use estimate and forecast commands.But I am ...
4
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3answers
267 views

Why are factor models so popular for risk analysis of portfolios?

As titled, my question consists on asking for why in the most of academic papers one almost always finds that when you try to model asset returns, one needs to adjust for risk factors before analyzing ...
1
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1answer
180 views

ex ante tracking error correlation between funds

I have two portfolio's called Comb & Global. They both have the same investable universe lets says 3000 stocks & are measured against the same benchmark. So it is possible that both funds hold ...
3
votes
1answer
212 views

quantiative risk measure how they are implemented in R and their use

So far I have just theoretical knowledge of risk measure and never used them in application. Therefore I have some basic question how risk measures are used in reality and how they are implemented in ...
2
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1answer
229 views

Divergent or Convergent Strategies? Which is the way to go?

Consider first the simple convergent strategy to invest some amount $X$ in a game, if you win you simply take the winnings and keep playing a subsequent game. In the case of a loss, you believe in ...
1
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2answers
229 views

Why is that a risk averse consumer buys the optimum insurance when there is actuarially fair insurance?

I think I understand the fact that when marginal utilities of the same function are equal (a consequence of the actuarially fair insurance), the independent variables in it must be equal -- right? But ...
2
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1answer
112 views

Is the volatility of a trader's wealth equal to the volatility of the underlying assets traded?

Assume that a trader trades in several stocks with different volatilities. The return of the trader's portfolio would be the weighted average of returns and the risk would be a function of the the ...
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1answer
307 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 ...
0
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0answers
49 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 ...
0
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2answers
133 views

Sharpe Ratio and time spent in loss

Is it possible to express, given an annualized Sharpe Ratio value, what is an expected maximum/average time spent in a draw-down or something in this manner? E.g. with SR of 10, you'd expect to spend ...
1
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0answers
141 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 ...
1
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1answer
242 views

Pre-trade evaluation and risk assessment of option trading strategies (in market practice)

When a trader gets conclusion of the volatility is being underestimated (via volatility cone or some other technology), actually there are multiple ways for his trading. (Let's assume the underlying ...
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2answers
216 views

Risk management of options

Your client would like to buy a digital call option. the digital call option pays the buyer in one years time (i.e at maturity ) N=1m SGD, if the SGD USD spot rate at maturity is above a prescribed ...
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votes
2answers
84 views

What is the most amount of money the consumer would be willing to pay to play take this gamble?

Suppose a consumer has log-utility over wealth, defined by $u(W) = \ln(W)$. Suppose this consumer has $100$, and is considering taking a gamble in which the consumer flips a coin, and gets $20$ she ...
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1answer
202 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.
2
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1answer
61 views

Finding Credit Risk Population Data

Are there any free or relatively cheap sources of aggregate data on credit risk for specific geographic regions, ages, and so on?
1
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1answer
156 views

Downside deviation

have any practitioners here worked with the downside deviation metric? I've looked a little into its concepts but wish to know its utility in practice (if any). Does it bring any value to risk ...
0
votes
1answer
121 views

What is the realized volatility's estimation error?

Given an estimation procedure and real data, how would one compute the mean squared error? What value represents the "true" realized volatility in the case of calculating the Mean Squared Error in ...
2
votes
1answer
175 views

How did we get $W_g=W_b$ from $\dfrac{U'(W_g)}{U'(W_b)}=1$?

My question is from Nicholson-Snyder's text , E-book here. My question is here, from page 217 of the book. (I can't post image as my reputation is not enough.) How did we get $W_g=W_b$ from ...
6
votes
4answers
349 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 ...
2
votes
1answer
239 views

Which measure to determine Risk?

Say I hold an equity and I want to calculate the Value-at-Risk over some period. Would one calculate the Value-at-Risk of the equity under a risk-neutral (as in martingale) measure or under the ...
3
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1answer
127 views

Optimal Choice of exceeding time

Suppose you hold a share from company $Z$ whose vaue at time $t$ is $S_0+\sigma B_t$ where $B_t$ is Brownian Motion and $\sigma$ denotes some volatility. Now lets assume that company $Z$ may go ...