用基变换方法求多项式的泰勒公式

通过分析多项式函数f(x)在不同点处的泰勒公式与线性空间基变换的联系,得到了多项式在同点处泰勒公式的一种求解方法。     

外推型预期公式的检验与评价

经济学中的很多变量需要预测,其中的一个方法是运用外推型预期公式。由于外推型预期公式有 其自身特点和规律,即趋势值的选择是影响预测效果的一个主要变量,因此使用该公式进行经济预测时, 短期预测应选择较小的趋势值,长期预测应选取中间的趋势值。     

Valuing Mortgage Insurance Contracts in Emerging Market Economies

We develop a new option-based method for the valuation of mortgage insurance contracts in closed form in an economy where agents are risk neutral. While the proposed valuation method is general and can be used in any market, it may be particularly useful in emerging market economies where other existing methods may be either inappropriate or are too difficult to implement because of the lack of relevant data. As an application, we price a typical Serbian government-backed mortgage insurance contract.     

Consistency conditions for affine term structure models

Sufficient conditions for the application of the Feynman-Kac formula for option pricing for wide classes of affine term structure models in the jump-diffusion case are derived by generalizing earlier results for bond pricing in the pure-diffusion case The author is grateful to Mikhail Chernov and Darrel Duffie for useful discussions and suggestions.     

New development: Regression-to-the-mean explains the otherwise puzzling coefficients in NHS England’s formula for funding CCGs

This paper reviews NHS England’s recent report on the formula that guides the allocation of tens of billions of pounds to clinical commissioning groups (CCGs). It finds deficiencies and errors in the unprincipled construction of the formula and substitutes Sir Francis Galton’s logical concept of ‘regression to the mean’ for the report’s ad hoc conjectures about striking patterns of certain coefficients.     

基于泰勒公式的交错级数审敛准则的改进

本文利用泰勒公式,对文献[2]中交错级数的一种收敛准则给出了新的证明,并将此准则进行了改进,使其可以应用于由复合函数构成的更复杂的级数形式。     

论历史逻辑

历史逻辑是以历史时间的历时性和共时性统一为基础的概念推论，研究关于叙述史中基本概念之间的意义关系和推论规则。过去、现在和未来是历史逻辑的基本范畴，“过去-现在-未来”三段式是历史逻辑的基本公式，它是概念逻辑推论三段式“正题-反题-合题”在历史逻辑中的具体形式。历史逻辑研究的目的，是根据特定历史时段的特殊性，建构以不同时段概念为逻辑变项的历史逻辑，预见未来的发展，规划现在的实践。     

Currency substitution,risk premia and the Taylor principle

This paper studies the equilibrium determinacy properties of a simple interest rate rule in a small open economy subject to currency substitution (i.e., the use of a foreign currency for domestic transactions) and risk premia on foreign borrowing. It shows that if currencies are substitute in the provision of liquidity services the rule׳s response to inflation has to be sufficiently above unity for the equilibrium to be locally determinate. This reinforced Taylor principle requirement appears to be more binding in economies characterized by a larger elasticity of currency substitution, more debt-elastic country risk premia, and intermediate degrees of dollarization in transactions.     

Monetary policy rules with PID control features: evidence from the UK,USA and EU

ABSTRACT

This paper considers the extent to which the monetary policy operations of three major central banks can be regarded as an application of Proportional-Integral-Derivative (PID) control rules. The paper outlines the general PID framework and estimates a series of dynamic models to identify how interest rate policy adjustments are affected by the rate of inflation and the level of macroeconomic activity. The paper examines data for the UK, the USA and the Eurozone. The results suggest that the PID rules can provide a useful theoretical and empirical framework for estimating central bank responses to the inflation and macroeconomic activity variables by improving the explanatory power of the Taylor rule model and determining the effect of the parameters.     

Asymmetry,Complementarities, and State Dependence in Federal Reserve Forecasts

Forecasts are a central component of policymaking; the Federal Reserve's forecasts are published in a document called the Greenbook. Previous studies of the Greenbook's inflation forecasts have found them to be rationalizable but asymmetric if considering particular subperiods, for example, before and after the Volcker appointment. In these papers, forecasts are analyzed in isolation, assuming policymakers value them independently. We analyze the Greenbook forecasts in a framework in which the forecast errors for different variables are allowed to interact. We find that allowing the losses to interact makes the unemployment forecasts virtually symmetric, the output forecasts symmetric prior to the Volcker appointment, and the inflation forecasts symmetric after the onset of the Great Moderation.