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mayduke · 2022年05月04日

net cost of carry对于持有现货还是持有远期哪个更换的判断方法

NO.PZ2016031201000025

问题如下:

If the net cost of carry of an asset is positive, then the price of a forward contract on that asset is most likely:

选项:

A.

lower than if the net cost of carry was zero.

B.

the same as if the net cost of carry was zero.

C.

higher than if the net cost of carry was zero.

解释:

A is correct.

An asset’s forward price is increased by the future value of any costs and decreased by the future value of any benefits: F0(T) =S0(1+r)T(γθ)(1 +r)TF_0(T)\text{ }=S_0{(1+r)}^T-(\gamma-\theta){(1\text{ }+r)}^T . If the net cost of carry (benefits less costs) is positive, the forward price is lower than if the net cost of carry was zero.

中文解析:

下图中红色线框出来的部分即为net cost of carry,是作为减项存在的,所以当net cost of carry为正的时候,FP会降低。


net cost of carry若为positive,则现货更贵,远期更便宜。所以根据long便宜的,short贵的原则,我们应该持有远期同时卖出现货更划算。这个逻辑对吗?

1 个答案
已采纳答案

Lucky_品职助教 · 2022年05月04日

嗨,爱思考的PZer你好:


本题主要是考察远期合约的定价,没有延伸到与现货对冲的情况,只能说net cost of carry如果大于0远期合约定价会比等于0的低一些,这样对远期合约的定价是合理的,具体long还是short头寸,根据投资组合再具体分析

有些同学无法理解net cost of carry,下面是原版书对net cost of carry的定义,原版书也明确了对这个知识的考察包括calculate,net cost of carry是benefit减cost,net cost如果是正,就说明benefit大于cost,远期合约的基本定义是”将来某时刻以某一价格买标的物“,已知明年该标的物有分红/利息等,分红除权/付息后价格会降低,那么现在约定未来的交割价格,当然要低一些啦~

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