金融数学(来自于试卷)
名词解释:
现值,终值;一价定律,套利,无套利保值;远期合约和期货及它们的区别,远期利率协议;期货保值,欧式期权;期货中的基点和基差;
风险对冲,对冲行为;卖空行为并举例;
计算题:
1.两面中的一道

2.就是这个题型
原题:10元,一个月后价格可能是15或者10,同一欧式期权1个月后执行价12,利率10%,问:q?;现在的价格?
3.求E[IS(t)] 英文版书p119,120
原题:S(t)满足U和色个么平方的布朗运动,给出I=1(S(t)>K);I=0(S(t)<=K),求E[IS(t)]


翻译题:(A卷的)
Investors typically hold more than one asset. a collection of assets. with a specification of the quantity of each. is referred to as a portfolio. given the value(per unit) of each asset in the portfolio. the value of the portfolio as a whole is obtained by multiplying the number of units of each asset in the portfolio by the value per unit of that asset. And taking the sum over all assets.
投资者通常持有多单的资产。每一个的量的资产规格所组成的集合被称为投资组合。考虑投资组合内各项资产的价值(每单位),由每单位该资产的值相乘组合中的每个资产的单位数所得到的组合作为一个整体的值,并且得到所有资产的总和。
The fundamental theorem of asset pricing gives conditions under which a given model is arbitrage-free. The importance of the fundamental theorem of asset pricing is first of all that it gives a criterion for absence of arbitrage. Which is a basic property for models of financial markets. But the theorem can also be used for pricing purposes.
资产定价基本定理给出的条件下给定的模型是无套利。资产定价基本定理的重要性首先在于它给出了标准无套利的准则。这是一个基本性的金融市场模型。但该定理也可用于定价。