查询词典 geometric average

There are two means to measure the average prices of the assets in an Asian option theoretically:with the arithmetic average and with the geometric average.

亚式期权有两种理论上的表示方式，即采用算术平均法计算资产价格的平均值和采用几何平均法计算资产价格的平均值。

In chapter 3, we study pricing of geometric average Asian capped calls, pricing of geometric average Asian option with transaction cost, pricing of the two kinds of exotic option in Fractional Brownian motion environment, pricing of capped calls with transaction cost in fractional Brownian motion environment.

在本文的第三章，研究了几何平均亚式上限型买权的定价，有交易成本的几何平均亚式期权的定价，分数次布朗运动环境中两种奇异期权的定价，以及分数次布朗运动环境中有交易成本的上限型买权的定价。

3By applying the geometric average to compute the average price of assets which consists of two cases of continuous and discrete,the pricing formula for the Asian option of averag asset and average strike price and the parity relationship are obtained.

3采用几何平均计算资产的平均价格，在连续平均和离散平均两种情形下，分别给出了平均价格型和平均执行价格型亚式期权的定价公式及相应的买权和卖权的平价关系。

Average annual Growth Rate Two methods for calculating average annual growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called accumulative approach or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

平均增长速度我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度：另一种是"累计法"，又称代表平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Annual Average Growth Rate two methods for calculating annual average growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called "accumulative approach" or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

平均增长速度我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度；另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Tow methods for calculating average annual growth rate are applied in China, one is often called level approach or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval with that of the beginning year; the other is called accumulative approach or algebraic average or equation method, which is derived

我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度：另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

Tow methods for calculating average annual growth rate are applied in China, one is often called "level approach" or the method of calculating geometric average, which is derived by comparing the level of the last year of the interval withthat of the beginning year; the other is called "accumulative approach" or algebraic average or equation method, which is derived by the summation of the actual figure of each year in the interval divided by the figure in the base year.

我国计算平均增长速度有两种方法：一种是习惯上经常使用的"水平法"，又称几何平均法，是以间隔期最后一年的水平同基期水平对比来计算平均每年增长速度；另一种是"累计法"，又称代数平均法或方程法，是以间隔期内各年水平的总和同基期水平对比来计算平均每年增长速度。

In Chapter 4, the pricing of Asian geometric average option under stochastic interest rates is studied, assuming CIR model for the interest rates. Asian option is strongly dependent with path, usually have a long duration, the movement of interest rates becomes more important in pricing such long-dated options. The CIR interest rate model not only considered the interest rate behavior has mean-reverting but also take into account that the fluctuation rate is direct proportion with the square root of its interest rate. Finally, the method of finite difference for the Asian geometric average option under CIR interest rate model is given.

第四章在利率满足CIR利率模型的假设下，研究了几何亚式期权的定价公式，亚式期权是强路经依赖性期权，通常有效期较长，在进行较长时期的投资时，利率的变化是非常重要的，CIR利率模型不仅考虑了利率行为具有均数回归的现象，而且还考虑其波动性的大小与利率大小的平方根成正比，最后给出了CIR利率模型下的几何亚式期权定价的有限差分法。

Firstly, we set a barrier to the underlying asset price under the assumption of common Asian options, the average period begins at the first time when the underlying price hits the barrier. We give a closed-form formula for the Asian call options price with fixed strike price in the case of continuous geometric average and in the case of discrete geometric average.

首先，在其它假设条件与一般亚式期权相同的条件下，对标的资产的价格设置了一个障碍，当标的资产的价格第一次越过障碍时，平均周期开始，得到了连续和离散两种情况下，具有固定执行价格的几何平均亚式看涨期权价格的封闭解。

4Based on a fact that the price formula of Asian options can be transformed into that of vanilla European option when the time to maturity is less than or equal to the length of average, we skillfully obtain the analytical price formula for the option on the minimum or the maximum of two geometric average prices and generalize it to obtain the price formula of several average prices for the first time. We also apply the method of [121], which approximates the arithmetic average by the geometric average, to the pricing of opitons on the minimum or the maximum of two arithmetic average prices to obtain Its approximated price formula. Numerical results show that the approximated price is relatively accurate when the riskless interest rate is large or the option is in the money and the volatility of two underlying assets are high and its accuracy is a little reduced but still good when the dividends are considered. However, it is hardly affected by the sampling number.

我们基于观察到的一个事实即当离到期时间小于或等于平均期间时亚洲期权的价格可变换成普通的欧式期权的价格，从而巧妙地得到了两个几何平均价格的最小或最大值期权价格的解析公式，通过简单地推广，首次得到了多个几何平均时的价格公式；将[121]用于算术平均亚洲期权的定价方法推广到两个算术平均价格的最小或最大值期权，从而得到它的渐进公式，数值结果表明：渐进价格的准确性在无风险利率较大或期权为实值且两标的资产的波动率较小时较好，抽样的个数对它没有影响，但考虑红利时它稍有下降但仍较好。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。