All too often, the concept of risk-neutral probabilities in mathematical finance is poorly explained, and misleading statements are made. The aim of this paper is to provide an intuitive understanding of risk-neutral probabilities, and to explain in an easily accessible manner how they can be...

The complexity of the global financial crisis beginning 2007 has challenged professionals. For students, the crisis's interconnected elements, covered in multiple courses and the concepts of derivatives central to it, are overwhelming. Providing short answers to their questions often creates...

Under the CAPM assumptions, the market capitalization weighted portfolio is mean-variance efficient. In real world applications it has been shown by various authors that low risk portfolios outperform the market capitalization weighted portfolio. We revisit this anomaly using high-frequency data...

In this paper we present an application where advanced undergraduate students can solve the expected utility portfolio model with a risk-free and a risky asset with both up and down returns in the Stock Market. With real Stock Market data, we use Excel Solver to find the portfolio decision and...

Securitization does not explain the reluctance among lenders to renegotiate home mortgages. We focus on seriously delinquent borrowers from 2005 through the third quarter of 2008 and show that servicers renegotiate similarly small fractions of securitized and portfolio loans. The results are...

The so called flat-rate bias is a well documented phenomenon caused by consumers' desire to be insured against fluctuations in their billing amounts. This paper shows that expectation-based loss aversion provides a formal explanation for this bias. We solve for the optimal two-part tariff when...

The so called flat-rate bias is a well documented phenomenon caused by consumers' desire to be insured against fluctuations in their billing amounts. This paper shows that expectation-based loss aversion provides a formal explanation for this bias. We solve for the optimal two-part tariff when...

I study the labor market risks associated with being self-employed. I document that the self-employed are subject to larger earnings fluctuations than employees and that they frequently transition into unemployment. Given the self-employed are not eligible to unemployment insurance, I analyze...

We derive a class of utility functions that are equivalent with respect to a well-defined functional form. We apply a general view of constant relative risk aversion to investigate on different equivalence relations. Then we compare our results with standard applications in economics and finance.

Former theoretical and empirical studies find that precautionary savings are reduced inthe presence of social security systems. The saving motive, however, does not change:individuals respond to increasing income risk by increasing their savings. Although thisstill holds for common tax and...