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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。

The scariest aspect of this model is that if a number greater than or equal to 2, then increases by geometric progression,...

这个数学模型的可怕之处在于，如果一个数字大于或等于2，那么按几何级数增加时，。。。

The scariest aspect of this model is that if a figure greater than or equal to 2, then increases by geometric progression,...

这个数学模型的可怕之处在于，如果一个数字大于或等于2，那么按几何级数增加时，。。。

Your lover is not your life-long slave; don't let him think get married is trapped in the cage.

你的另一半不是你的终身奴隶，不要让他认为和你结婚就等于被困笼中。

An isolated gipsy, survival value is almost zero.

一个被孤立的吉卜赛人，生存的价值几乎等于零。

According to senior the statement that sends a personage:"Remain oneself 49% give what one hit to bear fruit on a buys the home to basically approximate the price that sells that of 51% equity place that give to obtain in front of oneself foundation that does not have personal details is 50% discount."

按照一位资深投行人士的说法："把自己剩下的49%交给一个没有履历的买家基本上约等于在自己前面卖出的那51%的股权所获得的价格的基础上打了一个结结实实的对折。"

A mage can hold a number of prepared spells simultaneously equal to his Gnosis.

法师可以同时持有的已准备法术数量等于他的灵知。

The maximum target number the caster can aim for is equal to his Gnosis or Time, whichever is higher.

施法者能有的最大目标成功数等于他的灵知或者时间，取更高的一个。

It's go without saying that the independency is the life of the independent director.

独立董事的独立性是独立董事制度的生命，如果独立董事失其独立性，就等于形同虚设，也就意味着独立董事制度的失败。

In my book, cleanliness is not next to godliness.

在我看来，清洁不等于美德，而是近乎乏味。

She gently rebuff ed him, but agreed that they could be friends

她婉言拒绝了，但同意作为朋友相处。

If in the penal farm, you were sure to be criticized.

要是在劳改农场，你等着挨绳子吧！