Notes on Multiperiod Valuation and the Pricing of Options

A mean-variance risk-return tradeoff relationship is derived for the diffusion process limiting case of a state-preference model, with aggregate consumption serving as a pivotal variable. The model is compared to other recent models along the dimensions of generality and tractable implementation. The incorporation of stochastic interest rates in general equilibrium and arbitrage-based valuation models is examined, and an extension to earlier methods is discussed, in connection with the implementation of “robust” general valuation procedures.     

Integration of a Financial Literacy Curriculum in a High School Economics Class: Implications of Varying the Input Mix from an Experiment

We taught a mere seven‐period financial literacy curriculum to two 12th grade economics classes, where one treatment was Financial Fitness for Life^® (FFFL)‐intensive and the other was “stock market learning” (SML)‐intensive. Two control groups received no financial literacy treatment—an 11th grade group with no exposure to economics and a 12th grade economics class. The 12th grade economics classes, i.e., the two treatment groups and one control group, also worked on identical stock market portfolio assignments that their teachers required independently of our curriculum. In a test of overall financial knowledge, the FFFL‐intensive group outscored both control groups and the SML‐intensive groups, even on questions that were not taught in our curriculum. We conclude that an FFFL‐intensive input mix was beneficial in directly adding to financial knowledge and also in terms of leading to spillovers in such knowledge.     

On Timing and Selectivity

The dichotomy between timing ability and the ability to select individual assets has been widely used in discussing investment performance measurement. This paper discusses the conceptual and econometric problems associated with defining and measuring timing and selectivity. In defining these notions we attempt to capture their intuitive interpretation. We offer two basic modeling approaches, which we term the portfolio approach and the factor approach. We show how the quality of timing and selectivity information can be identified statistically in a number of simple models, and discuss some of the econometric issues associated with these models. In particular, a simple quadratic regression is shown to be valid in measuring timing information.     

Conflicting Family Values in Mutual Fund Families

We analyze the investment behavior of affiliated funds of mutual funds (AFoMFs), which are mutual funds that can only invest in other funds in the family, and are offered by most large families. Though never mentioned in any prospectus, we discover that AFoMFs provide an insurance pool against temporary liquidity shocks to other funds in the family. We show that, though the family benefits because funds can avoid fire sales, the cost of this insurance is borne by the investors in the AFoMFs. The paper thus uncovers some of the hidden complexities of fiduciary responsibility in mutual fund families.     

A Reconsideration of Minsky's Financial Instability Hypothesis

The worst and longest depressions have tended to occur after periods of prolonged, and reasonably stable, prosperity. This results in part from agents rationally updating their expectations during good times and hence becoming more optimistic about future economic prospects. Investors then increase their leverage and shift their portfolios toward projects that would previously have been considered too risky. So, when a downturn does eventually occur, the financial crisis and the extent of default become more severe. Whereas a general appreciation of this syndrome dates back to Minsky (1992) and even beyond, to Irving Fisher ( 1933 ), we model it formally. In addition, endogenous default introduces a pecuniary externality since investors do not factor in the impact of their decision to take risk and default on the borrowing cost. We explore the relative advantages of alternative regulations in reducing financial fragility and suggest a novel criterion for improvement of aggregate welfare.