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Discrete-Time Valuation of American Options with Stochastic Interest Rates

Review of Financial Studies 1995 8(1), 193-234
We develop an arbitrage-free discrete time model to price American-style claims for which domestic term structure risk, foreign term structure risk, and currency risk are important. This model combines a discrete version of the Heath, Jarrow, and Morton (1992) term structure model with the binomial model of Cox, Ross, and Rubinstein (1979). It converges (weakly) to the continuous time models in Amin and Jarrow (1991, 1992). The general model is “path dependent” and can be implemented with arbitrary volatility functions to value claims with maturity up to five years. The model is illustrated with applications to long-dated American currency warrants and a cross-rate swap from the quanto class.

Discrete-Time Valuation of American Options with Stochastic Interest Rates

Review of Financial Studies 1995 8(1), 193-234
[We develop an arbitrage-free discrete time model to price American-style claims for which domestic term structure risk, foreign term structure risk, and currency risk are important. This model combines a discrete version of the Heath, Jarrow, and Morton (1992) term structure model with the binomial model of Cox, Ross, and Rubinstein (1979). It converges (weakly) to the continuous time models in Amin and Jarrow (1991, 1992). The general model is "path dependent" and can be implemented with arbitrary volatility functions to value claims with maturity up to five years. The model is illustrated with applications to long-dated American currency warrants and a cross-rate swap from the quanto class.]

Testing the CAPM With Time-Varying Risks and Returns.

Journal of Finance 1991 46(4), 1485-1505
This paper draws on Robert F. Engle's autoregressive conditionally heteroskedastic modeling strategy to formulate a conditional capital asset pricing model with time-varying risk and expected returns. The model is estimated by generalized method of moments. A capital asset pricing model that allows mean excess returns to shift in January survives generalized method of moments specification tests for a number of omitted variables. However, a residual dividend yield component is found to remain in the excess returns of smaller firms. The authors find significant monthly and quarterly components in the risk premia and beta estimates.

Efficiency Tests of the Foreign Currency Options Market

Journal of Finance 1986 41(1), 151-162
Based on a new options transactions data base from the Philadelphia Stock Exchange Foreign Currency Options Market, this paper examines the importance of the effect of nonsynchronous prices and transaction costs on the usual option market efficiency tests. The tests conducted are based on the transaction cost adjusted early exercise and put‐call parity pricing boundaries applicable to the American foreign currency options market. The test results show that the put‐call parity boundary tests are sensitive to both nonsynchronous prices and transaction costs. The early exercise boundary tests are sensitive to transaction costs but are not very sensitive to simultaneity of the option price and the underlying spot price. Under the no‐transaction costs scenario, a large number of early exercise boundary violations is found even when simultaneous spot and option prices are used. These violations disappear when actual transaction costs are taken into account.

Efficiency Tests of the Foreign Currency Options Market

Journal of Finance 1986 41(1), 151
Based on a new options transactions data base from the Philadelphia Stock Exchange Foreign Currency Options Market, this paper examines the importance of the effect of nonsynchronous prices and transaction costs on the usual option market efficiency tests. The tests conducted are based on the transaction cost adjusted early exercise and put-call parity pricing boundaries applicable to the American foreign currency options market. The test results show that the put-call parity boundary tests are sensitive to both nonsynchronous prices and transaction costs. The early exercise boundary tests are sensitive to transaction costs but are not very sensitive to simultaneity of the option price and the underlying spot price. Under the no-transaction costs scenario, a large number of early exercise boundary violations is found even when simultaneous spot and option prices are used. These violations disappear when actual transaction costs are taken into account.

Closed-end Country Funds and U.S. Market Sentiment

Review of Financial Studies 1995 8(3), 879-918
[Closed-end country funds can trade at large premiums and discounts from their foreign asset values (NAVs). Investigating this anomaly, we find that individual fund premiums move together, primarily because of the comovement of their stock prices with the U.S. market. Moreover, an index of country fund premiums differentiates size-ranked U.S. portfolio returns and forecasts country fund stock returns. These findings suggest that international equity prices are affected by local risk. In particular, we show that country fund premium movements reflect a U.S.-specific risk, which may be interpreted as U.S. market sentiment.]

Testing the CAPM with Time-Varying Risks and Returns

Journal of Finance 1991 46(4), 1485
This paper draws on Engle's autoregressive conditionally heteroskedastic modeling strategy to formulate a conditional CAPM with time-varying risk and expected returns. The model is estimated by generalized method of moments. A CAPM that allows mean excess returns to shift in January survives generalized method of moments specification tests for a number of omitted variables. However, a residual dividend yield component is found to remain in the excess returns of smaller firms. We find significant monthly and quarterly components in the risk premia and beta estimates.