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mino酱是个小破货 · 2022年05月18日

如何判断basis正负?

NO.PZ2018113001000081

问题如下:

A British chocolate company wants to set up a branch in the United States. Since the company is in a better position to borrow at home, it is planning to borrow GBP at home and use currency swaps to convert them into dollars as needed.

Describe how this cross-currency basis swap should be structured from the beginning, period and end of the swap.(Suppose the basis is quoted on the non-USD leg of the swap)

解释:

Answer:

At inception, the chocolate company will pay the notional principal of GBP and will receive an amount of USD according to the USD/GBP exchange rate, agreed to at inception.

At each payment date, the chocolate company will receive interest in GBP and will pay interest in USD. Both payments are based on floating reference rates for their respective currencies. The GBP rate will also include a basis rate that is quoted separately. On each settlement date, the chocolate company will receive an amount of GBP based on the GBP floating rate minus the basis rate applied to the swap notional value, and it will pay an amount of USD based on the USD floating rate and the USD/GBP exchange rate that was set at inception

At maturity, the cash flows at maturity are the inverses of the cash flows at inception.The chocolate company will receive the notional principal of GBP and will pay an amount of USD based on the USD/GBP exchange rate that was set at the beginning, applied to the GBP notional principal.

中文解析:

本题考察的是cross-currency basis swap。

一家英国的巧克力公司要在美国设立一个分公司,因此需要美元。英国的公司在英国借款更有优势,利率更低,因此他在本国借GBP,再通过cross-currency basis swap将其转换为USD

期初:将约定一个在期初和期末交换名义本金时使用的汇率,然后该公司将支付GBP的名义本金,并根据约定好的这个汇率收到对应金额的美元本金。

期间:在每个互换日,该公司将收到GBP利息,并支付美元利息,支付和收到的利息都是基于各自币种的浮动利率和名义本金来计算的,另外收到的GBP利率中包括一个basis。因此在每个结算日期,该公司都将收到基于GBP的浮动利率-basis计算出来的利息金额,同时支付一笔基于美元的浮动利率和美元本金计算出来的美元利息。

期末:和期初的现金流方向相反,将会收到一开始换出去的GBP,同时支付一开始时收到的美元金额。结束整个互换。

老师好, demend of USD is higher, the basis would become more negative 

1 个答案
已采纳答案

Hertz_品职助教 · 2022年05月18日

嗨,努力学习的PZer你好:


同学你好

我看了下这道题目没有出现同学说的“demand of USD is higher, the basis would become more negative ”呢,这道题目只是简单的让咱们描述一下这互换在期初、期间和期末的时候情况。

就同学问的这一点,首先要看下这个basis是跟着美元还是非美元的,一般情况下默认是跟着非美元的(这是约定俗称的规则哈),当然题目如果就说basis跟着美元也是可以的,看题目意思。

以本题的背景来说,这家巧克力公司期初他支付英镑,收到美元。期间收到英镑利息,支付美元利息。

如果对美元的需求增加,意味着美元的利率要升高。那么对应的在这个互换中,就是说支付的美元的利息相比于收到的英镑利息要增加。

而这个basis相当于可以起到一个调节的功能:

①   basis跟着非美元的话,这个basis变得更加负,那么可以实现支付的美元利息相比于收到的英镑利息是增加的这个效果;

②   如果这个basis跟着美元呢,那么basis为正数,且basis变得更大,也可以实现美元利息相比于英镑利息增加的效果。

所以我们说basis跟着美元也好,非美元也好,变大或者变小也好,最主要是得把整个过程搞清楚,而basis相当于一个调节,其变化自然就知道啦。

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努力的时光都是限量版,加油!

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