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Hyperbolic absolute risk aversion

Index Hyperbolic absolute risk aversion

In finance, economics, and decision theory, hyperbolic absolute risk aversion (HARA) (Chapter I of his Ph.D. dissertation; Chapter 5 in his Continuous-Time Finance). [1]

23 relations: Autocorrelation, Capital asset pricing model, Decision theory, Economic equilibrium, Economics, Expected value, Exponential utility, Finance, Independent and identically distributed random variables, Isoelastic utility, Journal of Economic Theory, L'Hôpital's rule, Modern portfolio theory, Multiplicative inverse, Mutual fund separation theorem, Random variable, Risk aversion, Risk neutral preferences, Risk-free interest rate, Special case, State prices, Von Neumann–Morgenstern utility theorem, Wiener process.

Autocorrelation

Autocorrelation, also known as serial correlation, is the correlation of a signal with a delayed copy of itself as a function of delay.

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Capital asset pricing model

In finance, the capital asset pricing model (CAPM) is a model used to determine a theoretically appropriate required rate of return of an asset, to make decisions about adding assets to a well-diversified portfolio.

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Decision theory

Decision theory (or the theory of choice) is the study of the reasoning underlying an agent's choices.

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Economic equilibrium

In economics, economic equilibrium is a state where economic forces such as supply and demand are balanced and in the absence of external influences the (equilibrium) values of economic variables will not change.

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Economics

Economics is the social science that studies the production, distribution, and consumption of goods and services.

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Expected value

In probability theory, the expected value of a random variable, intuitively, is the long-run average value of repetitions of the experiment it represents.

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Exponential utility

In economics and finance, exponential utility refers to a specific form of the utility function, used in some contexts because of its convenience when risk (sometimes referred to as uncertainty) is present, in which case expected utility is maximized.

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Finance

Finance is a field that is concerned with the allocation (investment) of assets and liabilities (known as elements of the balance statement) over space and time, often under conditions of risk or uncertainty.

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Independent and identically distributed random variables

In probability theory and statistics, a sequence or other collection of random variables is independent and identically distributed (i.i.d. or iid or IID) if each random variable has the same probability distribution as the others and all are mutually independent.

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Isoelastic utility

In economics, the isoelastic function for utility, also known as the isoelastic utility function, or power utility function is used to express utility in terms of consumption or some other economic variable that a decision-maker is concerned with.

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Journal of Economic Theory

The Journal of Economic Theory, often referred to as JET, is an important scholarly journal in the field of economics.

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L'Hôpital's rule

In mathematics, and more specifically in calculus, L'Hôpital's rule or L'Hospital's rule uses derivatives to help evaluate limits involving indeterminate forms.

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Modern portfolio theory

Modern portfolio theory (MPT), or mean-variance analysis, is a mathematical framework for assembling a portfolio of assets such that the expected return is maximized for a given level of risk.

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Multiplicative inverse

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x−1, is a number which when multiplied by x yields the multiplicative identity, 1.

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Mutual fund separation theorem

In portfolio theory, a mutual fund separation theorem, mutual fund theorem, or separation theorem is a theorem stating that, under certain conditions, any investor's optimal portfolio can be constructed by holding each of certain mutual funds in appropriate ratios, where the number of mutual funds is smaller than the number of individual assets in the portfolio.

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Random variable

In probability and statistics, a random variable, random quantity, aleatory variable, or stochastic variable is a variable whose possible values are outcomes of a random phenomenon.

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Risk aversion

In economics and finance, risk aversion is the behavior of humans (especially consumers and investors), when exposed to uncertainty, in attempting to lower that uncertainty.

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Risk neutral preferences

In economics and finance, risk neutral preferences are preferences that are neither risk averse nor risk seeking.

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Risk-free interest rate

The risk-free interest rate is the rate of return of a hypothetical investment with no risk of financial loss, over a given period of time.

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Special case

In logic, especially as applied in mathematics, concept is a special case or specialization of concept precisely if every instance of is also an instance of but not vice versa, or equivalently, if is a generalization of.

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State prices

In financial economics, a state-price security, also called an Arrow-Debreu security (from its origins in the Arrow-Debreu model), a pure security, or a primitive security is a contract that agrees to pay one unit of a numeraire (a currency or a commodity) if a particular state occurs at a particular time in the future and pays zero numeraire in all the other states.

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Von Neumann–Morgenstern utility theorem

In decision theory, the von Neumann-Morgenstern utility theorem shows that, under certain axioms of rational behavior, a decision-maker faced with risky (probabilistic) outcomes of different choices will behave as if he or she is maximizing the expected value of some function defined over the potential outcomes at some specified point in the future.

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Wiener process

In mathematics, the Wiener process is a continuous-time stochastic process named in honor of Norbert Wiener.

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HARA (finance), HARA utility function.

References

[1] https://en.wikipedia.org/wiki/Hyperbolic_absolute_risk_aversion

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