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Constant Relative Risk Aversion (constant + relative_risk_aversion)

Distribution by Scientific Domains
Business, Economics, Finance and Accounting75%

Selected Abstracts

Financial Intermediaries and Interest Rate Risk: II

FINANCIAL MARKETS, INSTITUTIONS & INSTRUMENTS, Issue 5 2006
Sotiris K. Staikouras
The current work extends and updates the previous survey (Staikouras, 2003) by looking at other aspects of the financial institutions' yield sensitivity. The study starts with an extensive discussion of the origins of asset-liability management and the subsequent work to identify effective ways of measuring and managing interest rate risk. The discussion implicates both regulatory and market-based approaches along with any issues surrounding their applicability. The literature is enriched by recognizing that structural and regulatory shifts affect financial institutions in different ways depending on the size and nature of their activities. It is also noted that such shifts could change the bank's riskiness, and force banks to adjust their balance sheet size by altering their maturity intermediation function. Besides yield changes, market cycles are also held responsible for asymmetric effects on corporate values. Furthermore, nonstandard investigations are considered, where embedded options and basis risk are significant above and beyond the intermediary's rate sensitivity, while shocks to the slope of the yield curve is identified as a new variable. When the discount privilege is modeled as an option, it is shown that its value is incorporated in the equities of qualifying banks. Finally, volatility clustering is further established while constant relative risk aversion is not present in the U.S. market. Although some empirical findings may be quite mixed, there is a general consensus that all forms of systematic risk, risk premia, and the risk-return trade-off do exhibit some form of variability, not only over time but also across corporate sizes and segments. [source]

Explaining the characteristics of the power (CRRA) utility family

HEALTH ECONOMICS, Issue 12 2008
Peter P. WakkerArticle first published online: 22 JAN 200
Abstract The power family, also known as the family of constant relative risk aversion (CRRA), is the most widely used parametric family for fitting utility functions to data. Its characteristics have, however, been little understood, and have led to numerous misunderstandings. This paper explains these characteristics in a manner accessible to a wide audience. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Estimating risk aversion from ascending and sealed-bid auctions: the case of timber auction data

JOURNAL OF APPLIED ECONOMETRICS, Issue 7 2008
Jingfeng Lu
Estimating bidders' risk aversion in auctions is a challenging problem because of identification issues. This paper takes advantage of bidding data from two auction designs to identify nonparametrically the bidders' utility function within a private value framework. In particular, ascending auction data allow one to recover the latent distribution of private values, while first-price sealed-bid auction data allow one to recover the bidders' utility function. This leads to a nonparametric estimator. An application to the US Forest Service timber auctions is proposed. Estimated utility functions display concavity, which can be partly captured by constant relative risk aversion. Copyright © 2008 John Wiley & Sons, Ltd. [source]

Portfolio Choice and Life Insurance: The CRRA Case

JOURNAL OF RISK AND INSURANCE, Issue 4 2008
Huaxiong Huang
We solve a portfolio choice problem that includes life insurance and labor income under constant relative risk aversion (CRRA) preferences. We focus on the correlation between the dynamics of human capital and financial capital and model the utility of the family as opposed to separating consumption and bequest. We simplify the underlying Hamilton,Jacobi,Bellman equation using a similarity reduction technique that leads to an efficient numerical solution. Households for whom shocks to human capital are negatively correlated with shocks to financial capital should own more life insurance with greater equity/stock exposure. Life insurance hedges human capital and is insensitive to the family's risk aversion, consistent with practitioner guidance. [source]

Bounds on Derivative Prices in an Intertemporal Setting with Proportional Transaction Costs and Multiple Securities

MATHEMATICAL FINANCE, Issue 3 2001
George M. Constantinides
The observed discrepancies of derivative prices from their theoretical, arbitrage-free values are examined in the presence of transaction costs. Analytic upper and lower bounds on the reservation write and purchase prices, respectively, are obtained when an investor's preferences exhibit constant relative risk aversion between zero and one. The economy consists of multiple primary securities with stationary returns, a constant rate of interest, and any number of American or European derivatives with, possibly, path-dependent arbitrary payoffs. [source]

High-Water Marks: High Risk Appetites?

THE JOURNAL OF FINANCE, Issue 1 2009
Convex Compensation, Long Horizons, Portfolio Choice
ABSTRACT We study the portfolio choice of hedge fund managers who are compensated by high-water mark contracts. We find that even risk-neutral managers do not place unbounded weights on risky assets, despite option-like contracts. Instead, they place a constant fraction of funds in a mean-variance efficient portfolio and the rest in the riskless asset, acting as would constant relative risk aversion (CRRA) investors. This result is a direct consequence of the in(de)finite horizon of the contract. We show that the risk-seeking incentives of option-like contracts rely on combining finite horizons and convex compensation schemes rather than on convexity alone. [source]

Valuation of housing index derivatives

THE JOURNAL OF FUTURES MARKETS, Issue 7 2010
Melanie Cao
This study analyzes the valuation of housing index derivatives traded on the Chicago Mercantile Exchange (CME). Specifically, to circumvent the nontradability of housing indices, we propose and implement an equilibrium valuation framework. Assuming a mean-reverting aggregate dividend process and a utility function characterized by constant relative risk aversion, we show that the value of a housing index derivative depends only on parameters characterizing the underlying housing index, the endogenized interest rate and their correlation. We also analytically and numerically examine risk premiums for the CME futures and options and obtain three important findings. First, risk premiums are significant for all contracts with maturities longer than one year. Second, the expected growth rate of the underlying index is the key determinant for risk premiums. Third, risk premiums can be positive or negative, depending on whether the expected growth rate of the underlying index is higher or lower than the risk-free yield-to-maturity. © 2009 Wiley Periodicals, Inc. Jrl Fut Mark 30:660,688, 2010 [source]

An optimal investment and consumption model with stochastic returns

APPLIED STOCHASTIC MODELS IN BUSINESS AND INDUSTRY, Issue 1 2009
Xikui Wang
Abstract We consider a financial market consisting of a risky asset and a riskless one, with a constant or random investment horizon. The interest rate from the riskless asset is constant, but the relative return rate from the risky asset is stochastic with an unknown parameter in its distribution. Following the Bayesian approach, the optimal investment and consumption problem is formulated as a Markov decision process. We incorporate the concept of risk aversion into the model and characterize the optimal strategies for both the power and logarithmic utility functions with a constant relative risk aversion (CRRA). Numerical examples are provided that support the intuition that a higher proportion of investment should be allocated to the risky asset if the mean return rate on the risky asset is higher or the risky asset return rate is less volatile. Copyright © 2008 John Wiley & Sons, Ltd. [source]