Fannie Mae

About: Fannie Mae is a based out in . It is known for research contribution in the topics: Loan & Prepayment of loan. The organization has 360 authors who have published 405 publications receiving 12392 citations. The organization is also known as: Federal National Mortgage Association.

A Closed-Form GARCH Option Valuation Model

Abstract: This paper develops a closed-form option valuation formula for a spot asset whose variance follows a GARCH(p,q) process that can be correlated with the returns of the spot asset. It provides the first readily computed option formula for a random volatility model that can be estimated and implemented solely on the basis of observables. The single lag version of this model contains Heston's (1993) stochastic volatility model as a continuous-time limit. Empirical analysis on S&P500 index options shows that the out-of-sample valuation errors from the single lag version of the GARCH model are substantially lower than the ad hoc Black-Scholes model of Dumas, Fleming and Whaley (1998) that uses a separate implied volatility for each option to fit to the smirk/smile in implied volatilties. The GARCH model remains superior even though the parameters of the GARCH model are held constant and volatility is filtered from the history of asset prices while the ad hoc Black-Scholes model is updated every period. The improvement is largely due to the ability of the GARCH model to simultaneously capture the correlation of volatility with spot returns and the path dependence in volatility.

Spatial Dependence and House Price Index Construction

Abstract: Accurate estimation of prevailing metropolitan housing prices is important for both business and research investigations of housing and mortgage markets. This is typically done by constructing quality-adjusted house price indices from hedonic price regressions for given metropolitan areas. A major limitation of currently available indices is their insensitivity to the geographic location of dwellings within the metropolitan area. Indices are constructed based on models that do not incorporate the underlying spatial structure in housing data sets. In this article, we argue that spatial structure, especially spatial dependence latent in housing data sets, will affect the precision and accuracy of resulting price estimates. We illustrate the importance of spatial dependence in both the specification and estimation of hedonic price models. Assessments are made on the importance of spatial dependence both on parameter estimates and on the accuracy of resulting indices.

The Contagion Effect of Foreclosed Properties

Abstract: Although previous research shows that prices of homes in neighborhoods with foreclosures are lower than those in neighborhoods without foreclosures, it remains unclear whether the lower prices are the result of a general decline in neighborhood values or whether foreclosures reduce the prices of nearby non-distressed sales through a contagion effect. We provide robust evidence of a contagion discount by simultaneously estimating the local price trend and the incremental price impact of nearby foreclosures. At its peak, the discount is roughly one percent per nearby foreclosed property. The discount diminishes rapidly as the distance to the distressed property increases. The contagion discount grows from the onset of distress through the foreclosure sale and then stabilizes. This pattern is consistent with the contagion effect being the visual externality associated with deferred maintenance and neglect.