Narrow Results

We use order book data combined with tick data to analyze the supply curve models of liquidity issues in stock and option market trading. We show that supply curves really exist, and further that for highly liquid stocks they are linear. For slightly less liquid stocks the supply curve tends to be jump linear.

We introduce a new approach for modeling the prepayments of a mortgage pool and show how it can be used to value mortgage pools and agency mortgage-backed securities. We describe the full spectrum of refinancing behavior using a notion of refinancing efficiency. Our approach has two distinguishing features: (1) our primary focus is on understanding the market value of a mortgage, in contrast with standard models that strive (often unsuccessfully) to predict future cash flows, and (2) we use two separate yield curves, one for modeling mortgage cash flows and the other for MBS cash flows.

In financial markets, there are situations where investors have the future stock prices according to the experts’ evaluations rather than historical data. Thus, the estimations of the stock prices contain much subjective imprecision instead of randomness. This paper discusses a portfolio investment with options in such a kind of situation. Treating the stock index price as an uncertain variable, we build an uncertain mean-chance portfolio model based on uncertainty theory and provide the equivalent form of the model. Furthermore, we make a comparison of the optimal expected return between portfolio investment with options and without options. An important conclusion is reached: The portfolio investment with options produces a no less expected return than that without options. In addition, we make sensitivity analysis and get two vital corresponding results. As an illustration, a numerical example is presented as well. The numerical results reveal that the options should be considered in portfolio investment. And the call option with maximum exercise price is most valuable per premium cost with the same exercise date.