[In an extension of the Kyle (1985) model of continuous insider trading, it is shown that asymmetric information can make it impossible to price options by arbitrage. Even when an option would appear to be redundant, its introduction into the market can cause the volatility of the underlying asset to become stochastic. This eliminates the potential for dynamically replicating the option. The change in the price process of the asset reflects a change in the information transmitted by volume and prices when the option is traded.]
[The continuous-time version of Kyle's (1985) model of asset pricing with asymmetric information is studied. It is shown that there is a unique equilibrium pricing rule within a certain class. This pricing rule is obtained in closed form for general distributions of the asset value. A particular example is a lognormal distribution, for which the equilibrium price process is a geometric Brownian motion. General trading strategies are allowed. In equilibrium, the informed agent, who is risk neutral, has many optima, but he does not correlate his trades locally with the noise trades nor does he submit discrete orders.]
In a Kyle (1985) model, the sign of the correlation between a firm's debt and equity returns is the same as the sign of the cross-market Kyle's lambda. The sign is positive (negative) if private information concerns the mean (risk) of the firm's assets. We show empirically that information conveyed by order flows is primarily about asset means. The cross-market lambdas are quite large; consequently, the portions of bond and stock returns explained by order flows are highly correlated, even though the order flows themselves are virtually uncorrelated.
[The investment boundaries defined by Grenadier (2002) for an oligopoly investment game determine equilibria in open-loop strategies. As closed-loop strategies, they are not equilibria, because any firm by investing sooner can preempt the investments of other firms and expropriate the growth options. The perfectly competitive outcome is produced by closed-loop strategies that are mutually best responses. In this equilibrium, the option to delay investment has zero value, and the simple NPV rule is followed by all firms.]
[We compare a sealed-bid uniform-price auction (the Treasury's experimental format) with a sealed-bid discriminatory auction (the Treasury's format heretofore), assuming the good is perfectly divisible. We show that the auction theory that prompted the experiment, which assumes single-unit demands, does not adequately describe the bidding game for Treasury securities. Collusive strategies are self-enforcing in uniform-price divisible-good auctions. In these equilibria, the seller's expected revenue is lower than in equilibria of discriminatory auctions.]
In an extension of the Kyle (1985) model of continuous insider trading, it is shown that asymmetric information can make it impossible to price options by arbitrage. Even when an option would appear to be redundant, its introduction into the market can cause the volatility of the underlying asset to become stochastic. This eliminates the potential for dynamically replicating the option. The change in the price process of the asset reflects a change in the information transmitted by volume and prices when the option is traded.
In an extension of the Kyle (1985) model of continuous insider trading, it is shown that asymmetric information can make it impossible to price options by arbitrage. Even when an option would appear to be redundant, its introduction into the market can cause the volatility of the underlying asset to become stochastic. This eliminates the potential for dynamically replicating the option. The change in the price process of the asset reflects a change in the information transmitted by volume and prices when the option is traded.
The continuous-time version of Kyle’s (1985) model of asset pricing with asymmetric information is studied. It is shown that there is a unique equilibrium pricing rule within a certain class. This pricing rule is obtained in closed form for general distributions of the asset value. A particular example is a lognormal distribution, for which the equilibrium price process is a geometric Brownian motion. General trading strategies are allowed. In equilibrium, the informed agent, who is risk neutral, has many optima, but he does not correlate his trades locally with the noise trades nor does he submit discrete orders.
[Portfolio turnpike theorems show that if preferences at large wealth levels are similar to power utility, then the investment strategy converges to the power utility strategy as the horizon increases. We state and prove two simple and general portfolio turnpike theorems. Unlike existing literature, our main result does not assume independence of returns and depends only on discounting of future cash flows. We also provide a critique of portfolio turnpike results, based on the observations that (1) the time required for convergence is often too large to be relevant, and (2) there is no convergence for consumption withdrawal problems.]
In a Kyle (1985) model, the sign of the correlation between a firm's debt and equity returns is the same as the sign of the cross-market Kyle's lambda. The sign is positive (negative) if private information concerns the mean (risk) of the firm's assets. We show empirically that information conveyed by order flows is primarily about asset means. The cross-market lambdas are quite large; consequently, the portions of bond and stock returns explained by order flows are highly correlated, even though the order flows themselves are virtually uncorrelated.