Steven Manaster, Tests of the Black-Scholes and Cox Call Option Valuation Models: Discussion, The Journal of Finance, Vol. 35, No. 2, Papers and Proceedings Thirty-Eighth Annual Meeting American Finance Association, Atlanta, Georgia, December 28-30, 1979 (May, 1980), pp. 301-303

The Black-Scholes option pricing model, as generalized for dividend payments by Merton, is used to calculate implied variances of future stock returns. These variances are found to be better predictors of future stock return variances than those obtained from historic stock price data. A trading strategy is developed that exploits the informational content of the implied variances. The trading strategy, contrary to the efficient market hypothesis, produces abnormally high returns.

We use futures transaction data to investigate cross-sectional relationships between market-maker inventory positions and trade activity. The investigation documents strongly that traders control inventory throughout the trading day. Despite this evidence of inventory management, typical inventory control models are contradicted by our data. These inventory models predict that market-maker reservation prices are negatively influenced by inventory. Surprisingly, our evidence shows, as a strong and consistent empirical regularity, that correlations between inventory and reservation prices are positive. We interpret the evidence as consistent with active position taking by futures market floor traders.

Futures contract specification usually allow the short position some variation as to when, where, how much, and what is to be delivered. In this paper we derive the optimal delivery policy for the Treasury Bond futures contracts, and find that our policy produces profits that are positive and statistically significant. This indicates that future prices are ‘too high’ in that the short position can earn profits by skillfully exercising his delivery options. We find the actual delivery policies of market participants depart substantially from the optimal strategy. The implications of these findings for futures traders and bond dealers are discussed.

The quality option implicit in futures contracts allows the short position to satisfy the contract by delivering one of a variety of specified assets. If, at the time the contract is purchased, knowledge of which of the allowed assets will be cheapest at maturity is uncertain, then the quality option will have value. The greater the value of this option, the lower will be the futures price. This paper presents, and tests, a futures pricing model that incorporates the quality option aspect of commodity futures contracts. Our research shows that the quality option has a significant impact on futures prices.