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arXiv 1506.04880econ.GNmath.PRq-fin.EC
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具有终端条件和均值回复基本面的汇率目标区模型

An Exchange Rate Target Zone Model with a Terminal Condition and Mean-Reverting Fundamentals

Bank of Latvia(拉脱维亚银行)

Viktors Ajevskis

AI总结:

本文提出一个具有终端条件的汇率目标区模型,通过比较布朗运动和奥本-乌尔亨贝克过程的解法,探讨了汇率受基本面影响的动态行为。

摘要:

本文提出一个具有终端条件的汇率目标区模型,假设汇率是基本面和时间的函数。模型假设基本面被限制在某个区间内,并满足终端条件。基本面通过受监管的布朗运动和奥本-乌尔亨贝克过程两种方式指定。对于布朗运动过程,得到了闭式解;而对于奥本-乌尔亨贝克过程,由于没有闭式解,因此采用数值方法求解。两种规格进行了数值比较。

英文摘要:

This paper proposes a target zones exchange rate model with a terminal condition of entering a currency zone. It is assumed that the exchange rate is a function of the fundamental and time. Another essential assumptions of the model is that the fundamental process is bounded inside a band and that terminal condition for the exchange rate holds. The fundamental is specified in two ways: as a regulated Brownian motion and Ornstein-Uhlenbeck processes. For the case of the Brownian motion process the closed form solution of the problem is obtained, whereas for the Ornstein-Uhlenbeck process the closed form solution does not exist, therefore we had to use numerical method for solving of the problem. Both specifications are compared numerically.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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