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Essays in Consumption and Portfolio Choice

Essays in Consumption and Portfolio Choice
Author: Jorge Federico Rodriguez
Publisher:
Total Pages: 161
Release: 2003
Genre:
ISBN:

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(Cont.) I solve analytically the consumption and portfolio choice problem for an investor learning about the current value of time-varying expected returns. When prices are the only observables, the investor optimally estimates the current expected returns using the realized returns. Because of this, the market is observationally complete for an imperfectly informed investor. The observational completeness of the market allows me to find analytical, closed-form solutions to the investor's consumption and portfolio choice problem. I show how learning affects both the covariance and the consumption smoothing component of the hedging portfolio. Applying the model to monthly return data, I show a significant reduction in hedging demands due to imperfect information. In contrast to portfolio choice assuming expected returns are observed, in some cases the reduction implies the agent will optimally hold a negative hedging portfolio. I solve in closed-form for the model implied R2 for the return forecast regression, in other words the predictable fraction of return variance, and discuss the relationship between the reduction in hedging demands and the reduction in the model implied R2 for the return forecast regression. Little work has been done in regards to the role of labor income when investment opportunities are stochastic. Chapter 3 considers the consumption and portfolio choice problem of an investor when interest rates are time-varying and labor income growth might be sensitive to changes in interest rates. We obtain closed-form solutions to the consumption and portfolio choice for an investor with both inelastic and elastic labor supply ...


Consumption and Portfolio Choice Under Internal Multiplicative Habit Formation

Consumption and Portfolio Choice Under Internal Multiplicative Habit Formation
Author: Servaas van Bilsen
Publisher:
Total Pages: 51
Release: 2018
Genre:
ISBN:

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This paper explores the optimal consumption and investment behavior of an individual who derives utility from the ratio between his consumption and an endogenous habit. We obtain closed-form policies under general utility functionals and stochastic investment opportunities, by developing a non-trivial linearization to the budget constraint. This enables us to explicitly characterize how habit formation a ffects the marginal propensity to consume and optimal stock-bond investments. We also show that in a setting which combines habit formation with Epstein-Zin utility, consumption no longer grows at unrealistically high rates at high ages and investments in risky assets decrease.


Essays in Asset Pricing and Portfolio Choice

Essays in Asset Pricing and Portfolio Choice
Author: Philipp Karl Illeditsch
Publisher:
Total Pages:
Release: 2010
Genre:
ISBN:

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In the Ơ̐1rst essay, I decompose inƠ̐2ation risk into (i) a part that is correlated with real returns on the market portfolio and factors that determine investor0́9s preferences and investment opportunities and (ii) a residual part. I show that only the Ơ̐1rst part earns a risk premium. All nominal Treasury bonds, including the nominal money-market account, are equally exposed to the residual part except inƠ̐2ation-protected Treasury bonds, which provide a means to hedge it. Every investor should put 100% of his wealth in the market portfolio and inƠ̐2ation-protected Treasury bonds and hold a zero-investment portfolio of nominal Treasury bonds and the nominal money market account. In the second essay, I solve the dynamic asset allocation problem of Ơ̐1nite lived, constant relative risk averse investors who face inƠ̐2ation risk and can invest in cash, nominal bonds, equity, and inƠ̐2ation-protected bonds when the investment opportunityset is determined by the expected inƠ̐2ation rate. I estimate the model with nominal bond, inƠ̐2ation, and stock market data and show that if expected inƠ̐2ation increases, then investors should substitute inƠ̐2ation-protected bonds for stocks and they should borrow cash to buy long-term nominal bonds. In the lastessay, I discuss how heterogeneity in preferences among investors withexternal non-addictive habit forming preferences aƠ̐0ects the equilibrium nominal term structure of interest rates in a pure continuous time exchange economy and complete securities markets. Aggregate real consumption growth and inƠ̐2ation are exogenously speciƠ̐1ed and contain stochastic components thataƠ̐0ect their means andvolatilities. There are two classes of investors who have external habit forming preferences and diƠ̐0erent localcurvatures oftheir utility functions. The eƠ̐0ects of time varying risk aversion and diƠ̐0erent inƠ̐2ation regimes on the nominal short rate and the nominal market price of risk are explored, and simple formulas for nominal bonds, real bonds, and inƠ̐2ation risk premia that can be numerically evaluated using Monte Carlo simulation techniques are provided.