Questions tagged [risk]

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20 views

Certainty equivalent and risk premium

I'd like some guidance on the below practice question on uncertainty in consumer theory. I think I am confused on the certainty equivalent & risk premium or I'm not understanding the question. ...
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1answer
19 views

Is there some definition about risk sharing?

I was searching for a definition of risk sharing and I have found the following: $\underline{Definition:}$ Risk Sharing — also known as "risk distribution," risk sharing means that the premiums and ...
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1answer
159 views

Why is the risk premium always positive for risk averse individuals?

I think this has to do with the definition of concavity and the fact that a risk averse person has a concave utility function, but I'm not sure how that helps.
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How to calculate CRRA bounds from Holt and Laury (2002) type lottery?

Lottery is between: Option A: a certain choice of £5 Option B: £10 with probability 0.1 and £1 with probability 0.9 The probability of receiving £10 increases in each subsequent choice. How do I ...
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1answer
45 views

Why charge higher interest rates to poorer customers?

Consumer loans/credit charge different rates depending on the individual's risk. In particular, it charges more to poorer individuals. Whilst this seems to make sense from a risk perspective, there ...
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Estimate Markov process for incomplete market model

Let's say I have an economy in which the agent's budget constraint is: $c_t + k_{t+1} = (1+r-\delta)k_t+w_t\varepsilon_t$ Where $\varepsilon$ follows a Markov process with 2 states. I now want to ...
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Does Medicaid or Medicare represent a higher risk to the Federal Government Solvency and Debt going forward?

I'm trying to understand not only which program is expected to be larger in terms of costs, but which one has the least capacity to adjust (reduce benefits if revenues for the program fall).
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How is the utility function with constant relative risk-aversion obtained?

In this slide, it says that constant relative risk-Aversion utility function have this form. $u(x) = \frac{1}{1-b} x^{1-b}$ for $b≠1$ $u(x) = In(x)$ for $b=1$ When I tried to derive the utility ...
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Transformation of random variables and second order stochastic dominance

Suppose $X$ and $Y$ are two random variables where $X$ has SOSD (second order stochastic dominance) over $Y$. Let $g(\cdot)$ be a monotonic function and $X' = g(X)$ and $Y' = g(Y)$. Under what ...
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Corporate finance - capm beta estimation

I want to solve the following problem as an exercise to test my understanding of the capm material: Assume that CAPM is valid. The market portfolio consists of 3 stocks such that $i = A, B, C$ with ...
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58 views

Assessing risk in a decision problem with repeated toss

The problem starts at time t0. At each time step, the participant can choose to opt out and claim a loser's reward Rl. At each time step, the participant has a probability p to win a winner's reward ...
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Risks Quantification (soft question)

Can anyone please recommend literature (books, papers, whatever) on the topic of risk quantification? By risk quantification I mean financial assessment of e.g. credit or market risk. Free sources ...
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Proof: Risk averse; Certainty Equivalent smaller than expected value

I would like to show for a randomly distributed variable $x$ with CDF $F(\cdot)$ , given a Bernoulli utility function $u(x)$ the following property holds: The certainty equivalent, $CE(\cdot)$, is ...
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Why might firms be averse to idiosyncratic risk?

Under the CAPM and other theories, a widely held corporation should be averse only to systematic risk, correlated with other investments in the economy, not idiosyncratic risk like a CEO dying or a ...
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10 views

How to interpret the (expected) exposure and CVA of an option or a single share

I have a quick (hopefully simple) question regarding the interpretation of the expected exposure of a call option and a single share. I've done some computations on the formula for the expected ...
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How to calculate indentical cash flows?

So i have this question: Homemade leverage Companies A and B differ only in their capital structure. A is financed 30% debt and 70% equity; B is financed 10% debt and 90% equity. The debt of both ...
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3answers
525 views

What is the average economic value of a human life?

What is the economic value of a human life? If there are multiple methods to use in calculating, what are they, which method is preferred, and why? Considerations/sub-questions on methods A. Is the ...
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1answer
109 views

Why do riskier investments pay more?

I'm talking about bonds, stocks, and the sort. I understand that an individual investor that's planning to invest, say, 50% of his savings, may require a higher expected gain to go for a riskier ...
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Why does it seem like the average cost threshold protocol has a possible gain but no chance of loss?

So, the average cost threshold protocol is a theoretical protocol for crowd funding club goods (it can also be used to crowd fund public goods, but I'll only focus on club goods in this post). It is ...
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Can I recreate an experiment on Allais paradox using student grades as payoffs?

For a project in experimental economics, I thought of doing something related to expected utility theory/prospect theory, but using grades instead of money. Is this reformulation of the Allais ...
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Can aggregate risk to the economy be insured, and how?

There has been a lot of discussion for a while now over how the short market on Tesla is quite crowded. This got me thinking of what possible benefits the short market bestows upon the economy as a ...
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3answers
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Mean vs. variance - which is dominant?

I am currently trying to gain some basic understanding of the mean-variance tradeoff. However, since I do not have an economic education background, I am struggling with some issues. Currently I am ...
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1answer
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Construct utility function for a risk-averse agent

I am trying to construct utility function for an agent who can be risk-seeking or risk-averse. We have an agent $i$ who has an ideal point $x$ in a policy space $X = [0,1]$. There is a policy (option) ...
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2answers
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When does gambling reduce risk?

Suppose that you face risk. It is obvious that taking gambles whose outcomes are negatively correlated with the outcomes of your other gambles can reduce your overall risk ('hedging'). My question, ...
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5answers
258 views

Why is everyone suggested to specialize their education?

Why is so common to suggest university students to specialize in order to get a better paid job? This goes completely against the principle of diversification of investments, in order to decrease ...
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References for particular definitions of risk and uncertainty

I have some doubts about risk vs. uncertainty. I have read the thread "What is the difference between risk, uncertainty and ambiguity" and have skimmed through Knight's "Risk, Uncertainty, and Profit" ...
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Value of Statistical Life and Risk

I have been reading a paper by Bove & Elia (2011), where they quote a definition of the value of statistical life from Bellavance, Dionne & Lebeau (2009). I have tried making my peace with the ...
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1answer
54 views

How to estimate market risk using only publicly available data?

How can I calculate market risk for the US Stock Market (NYSE or NASDAQ) using only freely accessible data? I'm only interested in the market risk of the whole economy not of different industries, ...
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What were the liquidity requirements prior to Basel III?

I am investigating the impact of enforcing the Basel III liquidity requirements with a focus on the LCR. I have found some information about regulations in fore prior to Basel III in Sweden and ...
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2answers
254 views

Will high computing power substitute the certainty-equivalence assumption?

Bloom in a recent JEP paper considers that "the increase in computing power has made it possible to include uncertainty shocks directly in a wide range of models, allowing economists to abandon ...
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1answer
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Why does Mascolell define second-order stochastic dominance as such?

Is not Mascolell's definition in his microeconomic theory of the second-order stochastic dominance narrower? He defines for distribution functions with the same mean only. Although he gives some ...
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6answers
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What are alternative measures of risk?

In finance, the variance of the returns of a security are used as a proxy for the associated risk of the security. I've seen some books include sentences like "if you take variance as a measure of ...
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Relative risk aversion and lotteries exercise

Given a consumer with a utility function, $u(w)$, and a wealth of $w>1000$. Assuming that the consumers relative risk aversion is constant and equal to 1, that is $R_r(w)=1$ for $w>0$, the ...
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832 views

Negative expected value; risk neutral choice

Suppose there are two options: (1) take a gamble with 50% chance you win \$100 and 50% chance you lose \$110 or (2) don't take the gamble at all and win/lose nothing. Would the risk-neutral take the ...
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Sanity of lending out made-up money

Background I've done some research to get an understanding into the issue I want to ask about. Regrettably, I found out general descriptions of the mechanism and/or evidently biased explanations, ...
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1answer
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Swaps and systemic risk

I understand the systemic risk that can be associated with the trading of credit default swaps, but is it the same with interest rate swaps? What was the "default rate" on interest rate swaps during ...
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2answers
256 views

Are risk-costs a form of external costs?

An example to make to question more clear: With the use of nuclear power plants come several risk-costs (the risk of a nuclear disaster). These costs aren't included in the energy price and there is ...
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1answer
74 views

Consequentialist View of Risk

In MWG, the authors introduce the consequentialist view of risk by assuming for any risky alternative, only the reduced lottery over final outcome matters to decision maker. From philosophical view, ...
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1answer
273 views

Inc Linear Transformation of Bernoulli Utility

According to MWG Proposition 6.B.2, it illustrates that the expected utility form is preserved only by increasing linear transformation. What is the significance of this proposition? The part I ...
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230 views

How a utility function which is both DARA and CRRA can be explained?

I'm studying risk aversion and I cannot make a intuitive explain about the utility function which is DARA and CRRA. for instance, let's say, $\ln W$, where $W$ stands for one's wealth. by the ...
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Do stock markets price in existential risk (i.e. global nuclear war)?

Question Moved from Money StackExchange: https://money.stackexchange.com/questions/74002/do-stock-markets-price-in-existential-risk-i-e-global-nuclear-war Q: Do stock markets price in existential ...
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VaR and rating for commercial banks

I would like to know if there exist a database where Value at risk of commercial banks are. Beyond that if there is a connection between the rating from agency (as S&P, Fitch etc..) and the VaR ...
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What metrics would indicate a house bubble rather than genuine market values?

There are concerns that Auckland, New Zealand, is currently experiencing a housing bubble. Auckland is one of the top 10 cities in the world on a housing unaffordability index. The question is - ...
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Certainty Equivalents and Risk Premiums in Expected Utility Theory for Asymmetric Distributions

I want to calculte risk-premiums in order to assess how much risk-averse customers would be willing to pay for an insurance against an uncertain loss modeled by a random variable $X$. How would a risk-...
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569 views

How to have same utility function for two persons?

I have a question regarding utility functions: Utility can be defined as follows: $U=1+e^{\frac{x}{RT}}$ U:Utility x: What we want to find the utility for (Certain equivalent) RT: Risk tolerance ...
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1answer
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Is there a good mechanism to incentivize leveraged firms to take less risks?

It seems that there are some circumstances, say when the government foresees a financial crisis, where it would like firms to hedge, take less riesk etc. However, leveraged agents benefit from risk, ...
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Why don't firms and individuals do much more risk management? Couldn't they all hedge all kinds of risks financially?

There are many risks in the economy that agents could hedge. For example, house prices can go up or down, healthcare costs canchange, gas prices constantly change in fact, food prices,etc. They all ...
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Intuition behind risk premium

In Lecture 20 of MIT's Microeconomics course, a situation is proposed where a 50/50 bet will either result in losing \$100 or gaining \$125 with a starting wealth of \$100. It is stated that a person ...
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Is DARA utility implying CRRA most of the time?

The Wikipedia page on risk aversion states that a "Constant Relative Risk Aversion implies a Decreasing Absolute Risk Aversion, but the reverse is not always true". Let me decompose this statement in ...