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2017 | OriginalPaper | Buchkapitel

3. Portfolio, Insurance and Saving Decisions

verfasst von : Emilio Barucci, Claudio Fontana

Erschienen in: Financial Markets Theory

Verlag: Springer London

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Abstract

In this chapter, in the context of a simple two-period economy, we study the optimal portfolio problem of a risk averse agent, first in the case of a single risky asset and then in the more general case of multiple risky assets. We present several comparative statics results as well as closed-form solutions. We then derive the mean-variance portfolio frontier and present its most important properties, also including a risk free asset. The chapter closes by considering optimal insurance problems and optimal consumption-saving problems in a two-period economy.

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Fußnoten
1
In general terms, the substitution effect is related to changes in the relative prices of goods, while the income effect is due to changes in purchasing power. Technically, the substitution effect consists in a price change that alters the slope of the budget constraint but leaves the consumer on the same indifference curve, while the income effect represents the change in purchasing power due to price movements (a parallel shift of the budget constraint).
 
2
The coefficient of absolute prudence provides an approximation of the precautionary premium \(\psi _{u}(\tilde{x})\) for the random variable \(\tilde{x}\), defined as follows: \(u^{{\prime}}\left (\mathbb{E}[\tilde{x}] -\psi _{u}(\tilde{x})\right ) = \mathbb{E}[u^{{\prime}}(\tilde{x})]\). See also Eeckhoudt & Gollier [630] and the following section for more results on the coefficient of absolute prudence.
 
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Metadaten
Titel
Portfolio, Insurance and Saving Decisions
verfasst von
Emilio Barucci
Claudio Fontana
Copyright-Jahr
2017
Verlag
Springer London
DOI
https://doi.org/10.1007/978-1-4471-7322-9_3