This teaching note shows the relationship between levered and unlevered betas and the general formulation for the cost of equity. It also shows, step by step, the procedure to estimate betas from data found in the stock market.It shows well known procedures for estimating betas: correlation...

Este trabajo muestra la relación entre las betas apalancadas y sin deuda y la formulación general para el costo del capital. También muestra, paso a paso, el procedimiento para calcular las betas a partir de los datos que se encuentran en el mercado de valores. Se muestran procedimientos...

This article explores the behavior of the stock market in Colombia with the information given by the Bolsa de Bogotá Index (Indice de la Bolsa de Bogotá, IBB). The index is analyzed from January, 1930 to December, 1998. The inflation rate covers the same period; the inflation rate as measured...

This article explores the behavior of the stock market in Colombia with the information given by the Bolsa de Bogotaacute; Index (Indice de la Bolsa de Bogotaacute;, IBB). The index is analyzed from January, 1930 to December, 1998. The inflation rate covers the same period; the inflation rate as...

Under very general conditions, the total quadratic variation of a jump-diffusion process can be decomposed into diffusive volatility and squared jump variation. We use this result to develop a new option valuation model in which the underlying asset price exhibits volatility and jump intensity...

We propose a new decomposition of the variance risk premium in terms of upside and downside variance risk premia. The difference between upside and downside variance risk premia is a measure of skewness risk premium. We establish that the downside variance risk premium is the main component of...

Plain vanilla options have a single underlying asset and a single condition on the payoff at the expiration date. For this class of options, a well-known result of Duffie, Pan and Singleton (2000) shows how to invert the characteristic function to obtain a closed-form formula for their prices....

We develop a discrete-time affine stochastic volatility model with time-varying conditional skewness (SVS). Importantly, we disentangle the dynamics of conditional volatility and conditional skewness in a coherent way. Our approach allows current asset returns to be asymmetric conditional on...

This paper addresses an existing gap in the developing literature on conditional skewness. We develop a simple procedure to evaluate parametric conditional skewness models. This procedure is based on regressing the realized skewness measures on model-implied conditional skewness values. We find...

Cochrane and Piazzesi (2005) show that (i) lagged forward rates improve the predictability of annual bond returns, adding to current forward rates, and that (ii) a Markovian model for monthly forward rates cannot generate the pattern of predictability in annual returns. These results stand as a...