Questions tagged [risk]

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

Filter by
Sorted by
Tagged with
1
vote
1answer
101 views

Monte Carlo simulations of correlated stocks by Geometric Brownian motion

I am trying to simulate using a Geometric Brownian Motion process three autocorrelated stocks. In particular, I need to simulate three different matrices with 1000 scenarios each using a Monte Carlo ...
2
votes
2answers
155 views

Sharpe ratio with CVaR for denominator and different investor utility functions

I would like to model different type of investors, hence I need to find some kind of utility functions to optimize. Apart from very abstract exponential utility function, I couldn't find any proper ...
1
vote
0answers
71 views

Show that portfolio's percentage contribution to loss (PCL) equals PCR (risk)

I came across this question during self study on a quantitative book (Question 3.6 on Page 75 of Quantitative Equity Portfolio Management: Modern Techniques and Applications By Edward E. Qian, Ronald ...
0
votes
0answers
30 views

Is there no fix to improving portfolio risk estimation under small sample size?

When asked if copula are needed to calculate portfolio Value-at-Risk, it is said that "You can use historical method if you have sufficiently enough data". But actually copula are also ...
1
vote
1answer
42 views

Risk-Neutrality: Discount factors of the $P$ world according to risk preferences?

I am coming to terms with the connections between the so-called $P$ world and the $Q$ world. In my understanding, the risk-neutral measure $Q$ induces a probability space under which investors are ...
1
vote
2answers
56 views

Industry or academic standard frequency to report the return, standard deviation, and Sharpe ratio?

Everyone (funds, banks, academics, financial information sites etc.) reports the annualized return, standard deviation, and Sharpe ratio. Yet we never get to know what the basis of their computation ...
1
vote
1answer
33 views

Why is standard error used to show diversification effect for unsystematic risk?

quite long text incoming, sorry for that: While reading a corporate finance textbook, i came across a section describing the effect of diversification as well as the systematic and unsystematic risk. ...
4
votes
1answer
214 views

What are the advantages of $EVaR$ over $CVaR$?

$CVaR$, which is short for Conditional Value-at-Risk, has long been accepted by both academe and practice as a good coherent risk measure. Entropic value-at-risk ($EVaR$) is a comparative new coherent ...
3
votes
1answer
132 views

Are momentum returns negatively skewed?

In the academic literature, I found that momentum returns are negatively skewed (e.g. Daniel and Moskowitz, 2002). As far as I understand, this usually happens when the "past losers" rebound ...
1
vote
2answers
175 views

Approximating Sharpe and Sortino ratios from Exponential moving averages

So I've been studying the paper "Learning To Trade via Direct Reinforcement" Moody and Saffell (2001) which describes in detail how to use exponential moving estimates (EMAs) of returns at ...
1
vote
1answer
73 views

Portfolio vs individual security Sharpe and Sortino ratios

For an individual security calculating it's Sharpe and Sortino ratios is straightforward. What I'm curious about is the following: Let's say I have a portfolio of several securities, which is a ...
2
votes
1answer
676 views

Calculating Expected Shortfall of combined portfolios

So I am reading lecture notes here: https://courses.edx.org/c4x/DelftX/TW3421x/asset/Week3_var_3_slides.pdf The example is this: We have two independent portfolios of bonds. They both have a ...
0
votes
0answers
37 views

Multi-period Basel/Vasicek formula

I need to apply Basel/Vasicek formula to a 20-years horizon, both from a 20-years cumulative perspective and year-on-year basis. Please find below the formula of the Basel Capital (ie. unexpected loss)...
1
vote
1answer
94 views

Backtesting model results, but backtesting output sampled at different frequency than model output

So, I'm trying to backtest a model that computes P&L. This model pulls sensitivities on a weekly basis and applies market shocks to these sensitivities to project quarterly P&L. I want to ...
0
votes
2answers
144 views

Why is portfolio optimization a convex problem if variance is concave?

Variance is concave, so portfolio risk must be too. The mean-variance model employs quadratic programming to optimize (minimize) portfolio risk. My understanding is that quadratic programming requires ...
6
votes
1answer
211 views

Optimizing a portfolio whose risk is target expected shortfall

I want to maximize the return of a $n$-asset portfolio under known risk: $$\max_{\{w \in \mathbb{R}^{n}|w_{1}+...+w_{n}=1\}} \; \mathbb{E}\left[\sum_{i=1}^{n}w_{i}R_{i}\right]$$ under the constraint $$...
-1
votes
1answer
54 views

Good ways to select best decision among N decisions, each with a profit/loss distribution? [closed]

I'm working on a problem where an asset owner (e.g., owner of a factory, power plant, etc.) can take a number of possible decisions (say 10). Each of those 10 decisions entails certain actions, but ...
6
votes
1answer
224 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 ...
4
votes
1answer
195 views

Whats the big deal between volatility and the risk free rate?

I am trying to understand asset price volatility. Many of the news articles I read link how stock market volatility is linked to asset price volatility? To give an example, in Mike Mackenzie's (...
2
votes
2answers
225 views

Cashflow Risk vs Discount Risk

Studying asset pricing, I often hear the terms cashflow risk and discount risk but I'm not sure what they mean? The Campbell/Shiller (1988) decomposition includes cashflows (future dividends) and ...
2
votes
3answers
281 views

Backtesting of Risk models

I am wondering if there is any difference between 2 terms call model backtesting and model validation from the perspective of <...
0
votes
0answers
25 views

lot size formula for cfd and forex based on risk percentage

I have a question regarding the calculation of the lot size for cfd and forex instruments when we have a risk amount as a percentage of the balance. So how to compute the lot size to trade knowing the ...
0
votes
1answer
50 views

Ratios or combinations of risk measures

In finance, alternative risk measures such as value-at-risk (VaR) and GARCH are introduced as replacements to standard deviation volatility. Is there any application or value where several risk ...
-1
votes
2answers
79 views

Is there a way to formulate a Martingale series that will never explode?

Martingale's betting method can be seen here:https://www.investopedia.com/articles/forex/06/martingale.asp My question is if there is a way to put a non-exploding martingale, [There is one attempt to ...
0
votes
1answer
42 views

Textbook about methodologies for computing margins (TIMS and SPAN)

I'm reading and trying to understand TIMS and SPAN methodologies for margin calculations. In the internet I found these 2 great resources and that's what I'm using to get familiar with things: TIMS ...
3
votes
0answers
36 views

ESG risk factors

In the context of EU action on sustainable finance, the European Commission has initiated a series of regulations in order to achieve the goals of Paris Agreement on sustainability. One of those ...
5
votes
3answers
1k views

Which is riskier: a call option or the underlying?

From Joshi's Quant Interview Questions and Answers: What is riskier: a call option or the underlying? (Consider a one day time horizon and compute which has bigger Delta as a fraction of value). I ...
2
votes
1answer
176 views

PCA on a portfolio of spot and forward contracts

I have a portfolio of spot and FX forwards on various currencies all based to AUD. I need to able to quantify how the changes in amount, tilt and curvature of the AUD curve would impact my p/l. ...
-2
votes
1answer
1k views

Is it more common to hedge a mortgage bond portfolio with other bonds as opposed to Interest Rate Swaps? [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
votes
1answer
63 views

liquidity of a portfolio of options

In the asset management industry, many reports contain liquidity metrics such as the no. of days to liquidate 95% of a position, based on a certain participation rate. If that position is a stock or a ...
4
votes
0answers
28 views

Is there a clear mathematical statement of what problem Hierarchical Risk Parity is solving?

Prado's paper is really just an algorithm for solving some inverse problem. Has anyone seen a clear statement of that inverse problem? Or do you know how to write it simply? The first step is just a ...
8
votes
1answer
3k views

cvxpy portfolio optimization with risk budgeting

I'm trying to do some portfolio construction in cvxpy in Python: ...
1
vote
1answer
61 views

Risk-Weighted assets and Risk Weight

I am not really sure I understand the meaning of Risk weight defined as RW = RWA/EAD, where EAD = Exposure at Default RWA = Risk-Weighted assets From a bank's perspective: If I have two portfolios, ...
1
vote
0answers
50 views

Why is Calmar ratio considered not to satisfy monotonicity?

We have the following definitions $\text{Gain-loss ratio} = \frac{E[X^+]}{|E[X^-]|}=\frac{E[X^+]}{-E[X^-]}=\frac{E[X]}{-E[X^-]}+1$; where $X$ are the returns, $E[X^+]$ is the expected gain, i.e. $E[X|...
0
votes
0answers
7 views

Valuating risky annuities. (Default & Recovery)

As the topic says, I want to price a risky annuity. There are 2 things that I'm uncertain of. Whether the probability of default is correctly defined. Value of payments in the event of default. In ...
0
votes
0answers
17 views

scenario-specific covariance matrices for minimum regret portolio allocation

I am trying to follow the paper here https://www.wiwi.uni-siegen.de/banken/dokumente/2._szenariobasierte_aa_englisch.pdf and implement the minimum regret approach. In particular, the decision under ...
2
votes
2answers
87 views

Definition of drawdown

Say I am considering the entire time horizon, is max drawdown what I've drawn in blue, or what's in purple? Likewise, how about the current drawdown for the period in black (in practice, I am asked ...
0
votes
1answer
54 views

how to relate risk aversion and sharpe ratio in optimisation

I am trying to optimise the following: U(w)=w′μ−λ/2w′Σw which is the typical risk aversion problem. I would like to set lambda in order to have the max sharpe but I cannot find in literature what is ...
1
vote
1answer
638 views

Market Risk - Trading and Banking book in light of Basel III

I can not understand whether Basel III (in the part of market risk) applies both to Trading Book and Banking book or just to the first one. I have read that for what concerns Banking book you only ...
0
votes
2answers
49 views

Binomial model and delta hedging

I've got a question about theory which is probably a one line answer. I use to understand it but I'm stuck right now. In the Binomial model, we define the progression of the price as: $$ S_k = S_{k-...
-1
votes
5answers
208 views

Why worry about fat tails, if you can use stoploss?

Sorry this might sound a silly question, but -humbly- I don't understand why models assume that returns range from [-∞,+∞] instead of [-stoplimit, +takeprofit]. A common objection to most models is "...
0
votes
0answers
46 views

Sign of DV01 for FRA and IR Swap and Their Relationship

I'm confused with the sign notion (positive or negative) of DV01 for FRA and IRS. Say if I short FRA and also long IRS (pay fixed receive Float) with same underlying, does that mean both dv01 of these ...
0
votes
0answers
20 views

Results of Fama french three factors model and Fama MacBeth cross sectional regression

I am doing research work on “Idiosyncratic volatility and stock return”. I have calculated Idiosyncratic volatility with the help of Fama french three factor model. IV is defined as the standard ...
2
votes
1answer
33 views

Properties of risk aversion

What are some common properties for risk aversion? I know the basic definition of the risk premium, absolute risk adversion, relative absolute risk adversion. Besides the basic definition, what are ...
4
votes
1answer
64 views

CRRA Ultility, simple question

for CRRA, does increasing gamma leads to increase in risk-aversion? Looking at the curve, I think increasing gamma leads to less in risk-aversion (since the risk preimum is less). But in terms of ...
1
vote
0answers
51 views

Results of Fama MacBeth regression

I have run Fama MacBeth cross section regression of of Excess Return of stocks on Idiosyncratic volatility, the log of market capitalization, book to equity ratio and Beta. I'm getting all significant ...
1
vote
0answers
34 views

Currency of CDS and adjustment of interest rated for country risk

I have question concered currency of the CDS spreads. In the analysis I am conducting, I perform adjustment of interest rates for country risk (CDS could be a reference to reflect a country risk). ...
0
votes
1answer
63 views

The ratio of upside deviation to downside deviation in portfolio weighting

I've been calling this ratio "acceleration" in my head, so I'll do the same in this post. The question is, is this relationship used anywhere and if so, how? My thought process is as follows. Risk ...
-1
votes
1answer
83 views

Risk Neutral Pricing, a quick question [closed]

I am a newbie. The risk neutral pricing has the following formulation: $$P=\frac{\hat{E(d)}}{R}$$, But the discounted expected value has the formulation of: $$P=\frac{E(d)}{R}$$. The text book ...
0
votes
1answer
122 views

Computing covariance matrix with historical data

I have been reading Active Portfolio Management by Grinold and Khan. In the chapter about risk, they mention, "The third elementary model relies on historical variances and covariances. This ...

1
2 3 4 5
10