Estimating the term structure of volatility and fixed income derivative pricing

Estimating the parameters of the instantaneous spot interest rate process is of crucial importance for pricing fixed income derivative securities. This paper presents an estimation for the parameters of the Gaussian interest rate model for pricing fixed income derivatives based on the term structure of volatility. We estimate the term structure of volatility for US treasury rates for the period 1983 - 1995, based on a history of yield curves. We estimate both conditional and first differences term structures of volatility and subsequently estimate the implied parameters of the Gaussian model with non-linear least squares estimation. Results for bond options illustrate the effects of differing parameters in pricing.

The Market for borrowing securities in Brazil

We report the results of an exploratory data analysis of the Brazilian securities lending market. The analysis is performed over the full historical data set of each individual loan offer and loan contract negotiated between January 2007 and August 2013. We give a quantitative description of volume and loan fee trends and fee dependence on asset characteristics. We also unveil new stylized facts specific to the Brazilian market on market access asymmetries between different types of investors. The emerging picture is that the Brazilian securities lending market is a complex environment with specific frictions and strong asymmetries among players. In particular, we describe a tax arbitrage operation performed by domestic mutual funds which generates a significant distortion in the data. In one such event, we estimate additional aggregate profits of 24.25 million Reais (around 10 million Dollars).

Options listing and the volatility of the underlying asset: a study on the derivative market function

Os mercados de derivativos são vistos com muita desconfiança por inúmeras pessoas. O trabalho analisa o efeito da introdução de opções sobre ações no mercado brasileiro buscando identificar uma outra justificativa para a existência destes mercados: a alteração no nível de risco dos ativos objetos destas opções. A evidência empírica encontrada neste mercado está de acordo com os resultados obtidos em outros mercados - a introdução de opções é benéfica para o investidor posto que reduz a volatilidade do ativo objeto. Existe também uma tênue indicação de que a volatilidade se torna mais estocástica com a introdução das opções.