Stochastic optimization applied to self-financing portfolio: does bequest matter?

The article studies stochastic optimization of an intertemporal consumption model to allocate financial assets between risky and risk-free assets. We use a stochastic optimization technique, in which utility is maximized subject to a self-financing portfolio constraint. The papers in literature have estimated the errors of Euler equations using data from financial markets. It has been shown that it is sufficient to test the first order Euler equation implied by the model. However, they all assume a constant consumption–wealth ratio that constrains the boundary conditions, hence influencing the coefficient of the risk premium. The main contribution of our article is that we drop the assumption of a constant consumption–wealth ratio. We have an analytical solution using a utility maximization model with a stochastic self-financing portfolio. We introduce a terminal condition of wealth with and without bequests. We also simulate the stochastic optimization with a self-financing portfolio, distinguishing risk neutral investors (γ-low) from high risk averse investors (γ-high). We show that the model with bequest has a higher level of wealth and a smoother decline of consumption over time than the model with no bequest at the end of the period. The model with no bequest has the same level of consumption and a sharp fall at the end of the period. Risk averse agents with high return assets have a higher amount of wealth than risk-neutral agents with lower return assets.     

Precautionary savings of agents with heterogeneous risk aversion

This article focuses on the estimation of the importance of the precautionary motive in the wealth accumulation decision. We use the micro data set of the De Nederlandsche Bank (DNB) Household Survey (DHS) (CentERdata, Tilburg University), a Dutch household survey containing information on wealth, a subjective measure of income uncertainty and subjective qualitative measures of risk aversion. We find that only a small share of wealth is accumulated for the precautionary motive by the Dutch households. This share of wealth is constant across assets with different degrees of liquidity. The economic downturn of the period 2008 to 2010 seems to affect risk attitudes and precautionary saving. Our findings also suggest that the more risk-averse individuals are those who hold less savings.     

Portfolio Composition Choice: A Behavioral Approach

This experimental study investigates portfolio composition choice for different types of financial assets and different levels of wealth. For a group of financially sophisticated executive MBA students with work experience in capital markets, the findings of this study indicate that the proportion of wealth invested in risky assets increases with wealth for all portfolio compositions examined, and increases with the degree of asset risk. This proportion is found to be as much as three times higher for common stocks than for options: For stock portfolios, it increases from 33% to 44% over the five wealth levels examined, and for options it increases from 11% to 17%. These results may imply a decreasing rel w proportions of their wealth in risky assets possess the following characteristics: they do not invest in options in real life; they sometimes buy lottery tickets; they assign a higher risk level to options than to common stocks; they are female; and they are employed.     

WEALTH,ASSET PORTFOLIO,MONEY DEMAND AND POLICY RULE

I look at the linkages between monetary policy and asset wealth using quarterly data for the USA. I show that a positive interest rate shock leads to a fall in aggregate wealth and an important change in portfolio composition: housing wealth gradually decreases, but the effects are very persistent; and financial wealth quickly shrinks, but the impact is short‐lived. I also find that the money market can be characterized as follows: (i) the money demand has a large interest elasticity and a small output elasticity; and (ii) the estimated monetary policy reaction function highlights the special focus given by the central bank to developments in monetary aggregates. These features call for an approach whereby monetary authorities put more emphasis on tracking wealth developments, in particular, given the asset portfolio rebalancing between money holdings and financial and/or housing assets.     

The Elephant In The Ground: Managing Oil And Sovereign Wealth

One of the most important developments in international finance and resource economics in the past twenty years is the rapid and widespread emergence of the $6 trillion sovereign wealth fund industry. Oil exporters typically ignore below-ground assets when allocating these funds, and ignore above-ground assets when extracting oil. We present a unified stylized framework for considering both. Subsoil oil should alter a fund’s portfolio through additional leverage and hedging. First-best spending should be a share of total wealth, and any unhedgeable volatility must be managed by precautionary savings. If oil prices are pro-cyclical, oil should be extracted faster than the Hotelling rule to generate a risk premium on oil wealth. Finally, we discuss how our analysis could improve the management of Norway’s fund in practice.     

A possibilistic portfolio adjusting model with new added assets

In order to fit changes in financial markets, portfolio managers often need to revise an existing portfolio. This article analyzes the portfolio adjusting problem with new added assets. We propose a possibilistic portfolio adjusting model with transaction costs and bounded constraints on holdings of assets, which can be transformed into a linear programming problem. Both the lower bounds on holdings and the total investment constraints influence the optimal portfolio adjusting strategies. Furthermore, a numerical example of a portfolio adjusting problem is given to illustrate our proposed effective approaches. The numerical results show the case that investors do not need to invest total capital and to hold all assets in the portfolio for some required return levels.     

An essay on the Life Cycle: Characterizing intertemporal behavior with uncertainty,human capital,taxes, durables,imperfect capital markets,and non-separable preferences

This paper formulates a general characterization of a household's portfolio choice and savings behavior in an environment with uncertain future interest rates, prices, wages, and factors influencing tastes. Savings may be invested in three types of assets: financial assets; human capital, which is non-tradable; and consumer durables, in which investment may be partially irreversible. Risk-return relations determine the optimal allocation of resources across assets at a point in time. The optimal intertemporal allocation of resources is determined by a restriction on the planned growth rate for the marginal utility of after-tax wealth, where growth rates depend on rates of time preference and measures of long-term riskless rates of interest. Given special assumptions, this marginal utility follows a martingale process as a consequence of optimizing behavior. Pricing formulae are developed for evaluating shifts in uncertain future income, wage, and price profiles. The relations characterizing portfolio and savings behavior presented here do not rely on particular distributional assumptions; they account for all forms of uncertainty including wage uncertainty induced by human capital investment; they allow for the non-marketability of assets; and the main results apply for very general functional form assumptions for preferences. In later sections, results are extended to incorporate income taxes and to account for a wide variety of imperfections in asset markets.     

流动性、生命周期与投资组合相异性——中国投资者行为调查实证分析

本文采用Probit和Tobit模型对中国居民的股票市场参与和投资组合的影响因素进行了分析,主要有以下的实证发现:首先,不流动性资产特别是房地产的投资显著影响了投资者的股票市场参与和投资组合,而且影响以“替代”效应或者说“挤出”效应为主。其次,投资者在进行投资组合时极少利用股票市场对其未来现金流所承担的风险进行对冲,也就是说,中国居民投资的“生命周期效应”不明显;第三,中国居民投资的“财富效应”非常显著。财富的增加既增加了居民参与股票市场的概率,也增加了居民参与股票市场的深度。     

Saving rates and portfolio choice with subsistence consumption

We analytically show that a common across rich/poor individuals Stone-Geary utility function with subsistence consumption in the context of a simple two-asset portfolio-choice model is capable of qualitatively and quantitatively explaining: (i) the higher saving rates of the rich, (ii) the higher fraction of personal wealth held in risky assets by the rich, and (iii) the higher volatility of consumption of the wealthier. On the contrary, time-variant “keeping-up-with-the-Joneses” weighted average consumption which plays the role of moving benchmark subsistence consumption gives the same portfolio composition and saving rates across the rich and the poor, failing to reconcile the model with what micro data say.     

Saving Accounts versus Stocks and Bonds in Household Portfolio Allocation

We study the structure of household portfolios of financial wealth by analyzing both the determinants of total financial wealth and the choice between risky (stocks and bonds) and riskfree assets (saving accounts). The econometric specification is a generalized trivariate Tobit model, estimated on a cross section of 3,077 households in the Netherlands in 1988. We account for endogeneity of financial wealth and for selectivity due to nonreporting. Results show that the level of financial wealth and the marginal tax rate are major determinants of the allocation between riskfree and risky assets.     

Life‐cycle asset accumulation and allocation in Canada

Abstract.  This paper documents the life‐cycle patterns of household portfolios in Canada, and investigates several hypotheses about asset accumulation and allocation. Inferences are drawn from the 1999 Survey of Financial Security, with some comparisons to earlier wealth surveys from 1977 and 1984. I find cross‐sectional evidence for asset decumulation at older ages when annuitized assets like pension wealth are included in the analysis. I also find that the portfolio share of financial assets increases sharply with age, while indicators of risk tolerance appear to decrease. This is consistent with families' desiring more liquid and less risky assets as they age. JEL classification: D31, E21, G11     

Tax treatment of owner occupied housing and wealth inequality

We construct a quantitative general equilibrium lifecycle model with housing tenure decisions to investigate the degree to which wealth inequality in the United States is affected by the preferential tax treatment of home-ownership. Favorable tax treatment of owner occupied housing in the form of home mortgage interest and property tax deductibility, and the untaxed nature of imputed rents, provides a financial incentive for home-ownership over renting as well as an incentive to “over-consume” housing since houses are not fungible. Since the favorable tax treatment of housing disproportionately creates tax savings for the upper quantiles of the income distribution, we quantify how it contributes to the heavily right skewed distribution of wealth in the United States using data from the Survey of Consumer Finances. We consider a revenue-neutral government response to the counter factual experiments of removing the current tax structure on housing. Our quantitative analysis shows that, in terms of distributional effects, removing all of the preferential tax treatments results in an aggregate increase in welfare. However, we do not find any reduction in inequality. We also find that while some re-allocation toward financial assets occurs, households primarily increase their consumption when imputed housing rents are taxed and the property tax deduction is removed. Thus housing tax policy may be effective at encouraging more overall saving through housing assets.     

WEALTH EFFECT OF PUBLIC FUND INJECTIONS TO AILING BANKS: DO DEFERRED TAX ASSETS AND AUDITING FIRMS MATTER?*

This paper examines the wealth effect on other banks by the public fund injection into Resona Bank. This paper finds that the injection initially conveyed the auditing firms' strict stance towards deferred tax assets. More importantly, the procedure that the government employed was regarded by market participants as a too‐big‐to‐fail policy. Therefore, although the Resona injection was effective in obviating a financial crisis, the policy was inevitably accompanied with the moral hazard problem.     

Uncertain Medical Expenses and Precautionary Saving Near the End of the Life Cycle

This paper introduces a dynamic, structural model of household consumption decisions in which elderly families consider the effects of uncertain future medical expenses when deciding current levels of consumption. The model with uncertain medical expenses implies a potentially important role for precautionary saving incentives to explain slow rates of dissaving among elderly Americans during retirement. Rather than just simulating the stochastic dynamic model, preference parameters are estimated using panel data on health, wealth and expenditures for retired families. The health uncertainty model predicts consumption levels closer to observed expenditures than a life cycle model with uncertain longevity. However, elderly families typically dissave their financial assets more slowly than even the baseline health uncertainty model predicts is optimal.     

Should you pay off your mortgage or invest?

The mortgage payoff dilemma affects many retirees that have enough financial assets to pay off their mortgage. I find that, on average, retirees with less than $300,000 in non-housing financial wealth are better off keeping the mortgage and investing.     

HOUSEHOLD SAVING AND PORTFOLIO CHANGE: EVIDENCE FROM THE 1983–89 SCF PANEL

There are few sources of high-quality data on the dynamics of wealth accumulation. This paper uses newly available data from the 1983 89 panel of the Survey of Consumer Finances to examine household saving and portfolio change over the 1980s. Our main findings are as follows. First, median household wealth rose modestly over the period. Second, while overall wealth inequality increased, households in the top 1 percent of the wealth distribution in 1983 saw their share of total wealth decline, probably reflecting turnover among the very wealthy. Third, although age, income, and initial wealth had significant effects in regressions on household saving, a large part of the variation in saving was unexplained. Finally, there were clear life-cycle patterns in the portfolios of assets and liabilities held by households, with younger households acquiring homes, businesses and all types of debts, and older households divesting themselves of these assets and debts.     

房屋拆迁与家庭金融风险资产投资

文章基于心理账户和资源保存理论,利用2011年中国家庭金融调查数据,考察了房屋拆迁对家庭金融风险资产投资的影响及其机制.研究结果表明,房屋拆迁显著增强了家庭投资金融风险资产的意愿,提高了家庭在金融风险资产上的投资比重.财富损失预期在房屋拆迁影响家庭金融风险资产投资中起了显著的中介作用,而这一中介效应受到社会保险的正向调节.文章从经济学、管理学和心理学相融合的视角进行分析,为人类经济行为和结果提供了新见解;同时,研究结论对拓宽居民家庭投资渠道、深化金融体制改革和促进经济增长具有重要的参考价值和指导意义.     

Precautionary Saving and Health Insurance: A Portfolio Choice Perspective

This paper analyzes the impact of health insurance on household portfolio choice. Using the U.S. Survey of Consumer Finance and Health Retirement Survey databases, it finds that insured households are more likely to own stocks and invest a larger proportion of financial assets in stocks than uninsured households do. The results remain strong even after controlling for household characteristics and reverse causality. Further, the results are robust across different survey years and data sources. It suggests that a precautionary motive is strong in household portfolio choice decisions.     

Taxation and household portfolio composition: US evidence from the 1980s and 1990s

This paper explores the relationship between household marginal income tax rates, the set of financial assets that households own, and the portfolio shares accounted for by each of these assets. It analyzes data from the 1983, 1989, 1992, 1995, and 1998 Surveys of Consumer Finances and develops a new algorithm for imputing federal marginal tax rates to households in these surveys. The empirical findings suggest that marginal tax rates have important effects on asset allocation decisions. The probability that a household owns tax-advantaged assets, such as tax-exempt bonds or assets held in tax-deferred accounts, is positively related to its tax rate on ordinary income. In addition, the portfolio share invested in corporate stock, which is taxed less heavily than interest bearing assets, is increasing in the household’s ordinary income tax rate. Holdings of heavily taxed assets, such as interest-bearing accounts, decline as a share of wealth as a household’s marginal tax rate increases.     

Incomplete Insurance and Non-expected Utility

This paper shows that the estimation of non-expected utility (Kreps–Porteus preference) based on the representative agent model is less robust with respect to the departure from complete markets than is the expected utility for the following reasons. First, the precautionary saving caused by uninsured shocks may be evaluated incorrectly. Second, the portfolio held by individual household includes not only marketable assets, but also non-marketable assets (e.g. human capital) in the context of incomplete markets. Third, returns on marketable assets may not provide sufficient information for recovering relevant parameters. The estimated parameters available from the existing empirical research are consistent with the biasedness of parameters implied by this study.
JEL Classification: E44, G12.