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Essays on Optimal Portfolio Choice

Essays on Optimal Portfolio Choice
Author: Francisco João Ferreira Gomes
Publisher:
Total Pages: 558
Release: 2000
Genre: Investments
ISBN:

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Essays on Optimal Portfolio Choice and Unemployment Insurance

Essays on Optimal Portfolio Choice and Unemployment Insurance
Author: Jia Luo
Publisher:
Total Pages: 156
Release: 2007
Genre: Investments
ISBN: 9780549317852

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This dissertation consists of two essays exploring optimal portfolio choice over the life cycle and optimal unemployment insurance program.


Essays on Pricing and Portfolio Choice in Incomplete Markets

Essays on Pricing and Portfolio Choice in Incomplete Markets
Author: Ti Zhou
Publisher:
Total Pages: 282
Release: 2008
Genre: Portfolio management
ISBN:

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This dissertation is a contribution to the pricing and portfolio choice theory in incomplete markets. It consists of three self-contained but interlinked essays. In the first essay, we present a utility-based methodology for the valuation and the risk management of mortgage-backed securities subject to totally unpredictable prepayment risk. Incompleteness stems from its embedded pre-payment option which affects the security's cash flow pattern. The prepayment time is constructed via deterministic or stochastic hazard rate. The relevant indifference price consists of a linear term, corresponding to the remaining outstanding balance, and a nonlinear one that incorporates the investor's risk aversion and the interest payments generated by the mortgage contract. The indifference valuation approach is also extended to the case of homogeneous mortgage pools. In the second essay, using forward optimality criteria, we analyze a portfolio choice problem when the local risk tolerance is time-dependent and asymptotically linear in wealth. This class corresponds to a dynamic extension of the traditional (static) risk tolerances associated with the power, logarithmic and exponential utilities. We provide explicit solutions for the optimal investment strategies and wealth processes in an incomplete non-Markovian market with asset prices modelled as Ito processes. The methodology allows for measuring the investment performance in terms of a benchmark and alter-native market views. In the last essay, we extend the forward investment performance approach to study the optimal portfolio choice problem in an incomplete market driven by jump processes. The asset price is modelled by a one-dimensional Lévy-Itô process. We prove the existence of a forward performance process by restricting the local risk tolerance functions to be time-independent and linear in wealth. This yields only three types of performance measurement criteria, namely, exponential, power and logarithmic. The optimal portfolios are constructed via stochastic feedback controls under these criteria.


Essays on Uncertainty, Beliefs Updating and Portfolio Choice

Essays on Uncertainty, Beliefs Updating and Portfolio Choice
Author: Kouamé Marius Sossou
Publisher:
Total Pages: 109
Release: 2019
Genre:
ISBN:

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This Thesis, consisting of three chapters, studies the effects of uncertainty on decision-making with portfolio choice applications. Chapter 1 studies how experimental subjects report subjective probability distributions in the presence of ambiguity characterized by uncertainty over a fixed set of possible probability distributions generating future outcomes. The level of distribution uncertainty varies according to the observed outcomes and the rules used by the subjects to update the distribution uncertainty. This chapter introduces several reporting and updating rules and our empirical analysis focuses on estimating the sample distribution of these rules. Two dominant reporting rules emerge from our analysis: we find that 65% of subjects report distributions by properly weighting the possible distributions using their expressed uncertainty, while 22% of subjects report distributions close to the distribution they perceive as most likely. Further, we find significant heterogeneity in how subjects update their expressed uncertainty. On average, subjects tend to overweight the importance of their prior uncertainty relative to new information, leading to ambiguity that is substantially more persistent than would be predicted using Bayes' rule. Counterfactual simulations suggest that this persistence will likely hold in settings not covered by our experiment. Uncertainty in financial markets is a natural consequence of investors being unaware of objective probabilities of asset returns. Chapter 2 highlights that ambiguity and loss aversion have opposite effects on financial markets and can coexist in the presence of uncertainty. This chapter addresses the normative question of the optimal portfolio evaluation frequency for an investor in order to minimize the effect of myopia, but to learn about the investment opportunities in the market. Towards this end, we present a new experimental design in which investors are asked to make repeated portfolio choices facing initial ambiguity concerning the distribution of returns of one of the available assets. We exploit exogenous variations in evaluation frequency along with time variation of probabilistic beliefs over the possible return distributions to jointly identify ambiguity, loss, and risk aversion along with rules investors use to update their ambiguity. Estimates from a structural model suggest seven different classes of investors. Investor class membership depends on loss aversion, ambiguity aversion as well as risk aversion preferences. Further, we find that at the aggregated level, investors are loss averse, ambiguity averse and they display risk aversion over gains and risk seeking over losses. We conclude our analysis by using our model estimates to predict the distribution of optimal evaluation periods for our sample. Our predictions suggest that approximatively 70% of investors prefer the highest possible evaluation period frequency. Finally, Chapter 3 investigates whether or not the discount factor of the elderly affects their portfolio choices. We estimate time preferences using inter-temporal choice data from a hypothetical experiment in a representative sample of American elders and a structural model of decision-making accounting for lifetime uncertainty. Our results indicate considerable heterogeneity in the elderly population. Moreover, we find that older people who display a higher discount factor are more likely to own retirement accounts and risky assets. These older people also tend to decrease the share of financial wealth held in safe assets and increase the share of financial wealth held in risky assets. These findings suggest that time preferences affect investment choices from safe assets toward other financial assets, all else being equal.


Portfolio Theory, 25 Years After

Portfolio Theory, 25 Years After
Author: Harry Markowitz
Publisher: North-Holland
Total Pages: 282
Release: 1979
Genre: Business & Economics
ISBN:

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Essays on Optimal Portfolio Decisions for Long-term Investors

Essays on Optimal Portfolio Decisions for Long-term Investors
Author: Hui-Ju Tsai
Publisher:
Total Pages: 116
Release: 2010
Genre: Asset allocation
ISBN:

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This dissertation contains two essays on the optimal portfolio decision for long-term investors. The first essay studies the optimal asset allocation for long-horizon investors with non-tradable labor income when multiple risky asset returns are predictable. It finds that more risk-averse investors hold a higher bond/stock ratio in their risky portfolios when labor income is positively correlated with stock return or independent of risky asset returns, but the reverse is true when labor income is positively correlated with bond return. The allocation to stock inherits the inverted U-shaped pattern of labor income growth with respect to expected time until retirement. These results suggest that popular recommendations of investment advisors that more conservative investors should hold a higher bond/stock ratio and that the portfolio allocation to stock should equal 100 minus age may both lack theoretical justification. In the out-of-sample performance test, the dynamic portfolio shows the highest mean returns and Sharpe ratio than two benchmark portfolios, justifying the economic significance of incorporating the time-variation of investment opportunities and nontradable labor income into investors' portfolio choice. The second essay studies employees' optimal portfolio in their defined contribution pension plans. Assuming a discrete time model with predictable risky asset returns, the essay finds that the employees' optimal portfolio decision can be greatly affected by the employees' time to retirement, risk preference, contribution rate as well as the correlation between labor income and asset returns. Performance test shows that the gains from adopting the dynamic portfolio strategy relative to several benchmark strategies, including the 1/n rule, the optimal static strategy with and without the consideration of asset return predictability, all stock strategy, and all company stock strategy, are economically significant and the economic gain increases with employees' risk aversion. The empirical evidence that employees invest significantly in their company stock in pension plans is difficult to be justified, even after the consideration of short-sale constraints, higher expected company stock return, employees' familiarity with their company, and employers' exclusive match policy. Over allocation to company stock can be very costly, especially to conservative employees.


Essays on Bank Optimal Portfolio Choice Under Liquidity Constraint

Essays on Bank Optimal Portfolio Choice Under Liquidity Constraint
Author: Eul Jin Kim
Publisher:
Total Pages:
Release: 2012
Genre:
ISBN:

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Long term asset creates more revenue, however it is riskier in a liquidity sense. Our question is: How does a liquidity constrained bank make decisions between profitability and liquidity? We present a computable DSGE model of banks optimal portfolio choices under liquidity constraints. Our theory predicts that liquidation plays an important role in a bank's portfolio model. Even though liquidation is an off-equilibrium phenomenon, banks can have rich loan portfolios due to the possibility of liquidation. Liquidity condition is a key factor in banks portfolio. In a moderate liquidity situation, a bank can lend more profitable longer term loans, however, if a shock in liquidity is expected, then the bank lends more loans in short term. According to the liquidity conditions, the bank can have medium term loans which are different from other previous literature. In addition, we extend our model to the bank's securities business where the bank's debts are largely short term deposit. Our theory predicts that the bank securities business produces a chasm between a real liquidity of economy and market liquidity. Banks can have more liquidity by selling their securitized loans, and as our model already pointed out, a good liquidity condition makes the bank have more profitable but less liquid long term loans. As a consequence, long term loans are accumulated with this securitization, simply because a long term loan gives higher revenue. Any market turbulence can invoke a problem in economy wide liquidity.