Quantum theory provides a comprehensive framework for quantifying uncertainty, often applied in quantum finance to explore the stochastic nature of asset returns. This perspective likens returns to microscopic particle motion, governed by quantum probabilities akin to physical laws. However, such approaches presuppose specific microscopic quantum effects in return changes, a premise criticized for lack of guarantee. This paper diverges by asserting that quantum probability is a mathematical extension of classical probability to complex numbers. It isn’t exclusively tied to microscopic quantum phenomena, bypassing the need for quantum effects in returns.By directly linking quantum probability’s mathematical structure to traders’ decisions and market behaviors, it avoids assuming quantum effects for returns and invoking the wave function. The complex phase of quantum probability, capturing transitions between long and short decisions while considering information interaction among traders, offers an inherent advantage over classical probability in characterizing the multimodal distribution of asset returns.Utilizing Fourier decomposition, we derive a Schr¨odinger-like trading equation, where each term explicitly corresponds to implications of market trading. The equation indicates discrete energy levels in financial trading, with returns following a normal distribution at the lowest level. As the market transitions to higher trading levels, a phase shift occurs in the return distribution, leading to multimodality and fat tails. Empirical research on the Chinese stock market supports the existence of energy levels and multimodal distributions derived from this quantum probability asset returns model.

Motivated by diverse anecdotal evidences from the Chinese markets and focusing on a technologically following firm, this paper analyzes how the managerial compensation structure affects the managerial innovative incentives, the vertical differential output competition, and the evolutions of the industry structure. To this end, multiple effects of quality improvements are identified. The managerial conservatism in taking risky product innovations, which is resulted from the obliteration of the cost-adjusting effect by trivial incentive weight, is aggravated by foregone conservatisms. This leads to the widening of the quality gaps between it and the leading firm, and the deterioration of its market performances. After fulfilling an innovation, however, the firm becomes complacent. Driven by these two tendencies, the percentage of the industries in which the following firms abandon their R&D activities forever is decreasing in their incentive weights and increasing in time. The extensions of the process innovation, the managerial innovative agressiveness, and the interactions between product innovation and process innovation are also examined, as well as the implications of the compensation structure of the leading firm and the spillovers.

In recent years China has faced an increasing trilemma - how to pursue an independent domestic monetary policy and limit exchange rate flexibility, while at the same time facing large and growing international capital flows. This paper analyzes the impact of the trilemma on China's monetary policy as the country liberalizes its goods and financial markets and integrates with the world economy. It shows how China has sought to insulate its reserve money from the effects of balance of payments inflows by sterilizing through the issuance of central bank liabilities. However, we report empirical results indicating that sterilization dropped precipitously in 2006 in the face of the ongoing massive buildup of international reserves, leading to a surge in reserve money growth. We estimate a vector error correction model linking the surge in China's reserve money to broad money, real GDP, and the price level. We use this model to explore the inflationary implications of different policy scenarios. Under a scenario of continued rapid reserve money growth (consistent with limited sterilization of foreign exchange reserve accumulation) and strong economic growth, the model predicts a rapid increase in inflation. A model simulation using an extension of the framework that incorporates recent increases in bank reserve requirements also implies a rapid rise in inflation. By contrast, model simulations incorporating a sharp slowdown in economic growth lead to less inflation pressure even with a substantial buildup in international reserves.

According to the theory of unit root test, Lee-Carter model and generalized linear model, which are widely used in mortality projection, impose key implicit assumptions respectively which are inconsistent with each other. Log mortality rate (the force of mortality or the central mortality rate) is described as a unit root process in Lee-Carter model, while it is modeled as a deterministic trend process in generalized linear model. We use panel LM unit-root tests with level shifts to test the assumptions in above models, based on mortality data of the 7 most developed countries(G7) and Nordic countries(Denmark, Finland, Norway, Sweden). The test results show that a mortality projection model, whatever it is Lee-Carter model or generalized linear model, is not always appropriate to predict dynamic mortality rates of different countries. Further, we explain period effect and cohort effect of dynamic mortality according to the results of structural break test. Based on the empirical results, we extend Lee-Carter model, which includes a special case of generalized linear model. To check the performance of the extended model, we use it to forecast USA and Sweden mortality and we find that the extended Lee-Carter model works better than the original Lee-Carter model.

The paper take notes for “Equilibrium Points in N-person Games” and draw the conclusion that the Asset-pricing-model should reflect the investors’ strategies and payoff functions, and then we give the rudiment of the model.

内容提要：本文在介绍泰勒规则产生、内涵、发展的基础上，利用Lawrence模型将汇率因素引入，构建了开放经济条件下的前瞻性泰勒规则。实证结果表明：泰勒规则能够为中国货币政策提供一个很好的参照系；相对于物价稳定目标，央行更关注经济增长；将微观主体的预期和汇率因素引入到货币政策时，央行对利率的敏感性增强；继续推动利率和汇率体制改革能更有效地提高泰勒规则的解释力；“前瞻性泰勒规则”能提高中国货币政策透明度； Abstract: This paper introduce the origination、connotation and development of Taylor’s rule. On this basis, we then contrast the forward looking Taylor’s rule in an open economy by employing a model from Lawrence (1999).The empirical analysis indicates that: Taylor’s rule provides us a frame of reference in policy making; Central bank prefer “economic growth” to “price stability”; when considering the effect of public expectation and exchange rate, central bank pay more attention to price stability; exchange rate and interest rate regime reformation would increase the explanation of Taylor’s rule; the forward looking Taylor’s rule could enhance the transparency of monetary policy.

Abstract The paper take notes for “Equilibrium Points in N-person Games” and draw the conclusion that the Asset-pricing-model should reflect the investors’ strategies and payoff functions, and then we give the rudiment of the model.