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过儿 · 2025年03月02日

选项F-swap,答案是swap-F,两个不是相反吗?谢谢老师

NO.PZ2023020101000026

问题如下:

IST Risk Solutions provides institutional financial risk management advisory and brokerage services. Clients seek IST’s services when evaluating whether to hedge interest rate, currency, or equity market risks. Simon Weber, senior adviser at IST, is discussing a new client with analyst Noel Franco.

Weber states: “Newport State College plans a $10 million laboratory renovation for its science center and has engaged IST to implement options strategies in order to manage the risk of rising interest rates. The renovation is to be completed in 12 months, in time for the start of the school year. To minimize disruption to its academic schedule, however, Newport will not begin the work until six months from now. State funding will not be received until the beginning of the next school year, so a six-month variable interest rate loan will finance the renovation.”

Weber comments: “We can also consider options on swaps, which the Black model views as having a bond component and a swap component. The swaption, used to hedge against rising interest rates, can be evaluated as the swap component minus the bond component.”

Is Weber’s description of the swaption used for the hedge most likely correct?

选项:

A.

No, because it would be correctly evaluated as the bond component minus the swap component

B.

No, because he is describing a receiver swaption

C.

Yes

解释:

A payer swaption would hedge against rising interest rates. According to the Black model, the

value of a payer swaption can be described as the swap component minus the bond component.

B is incorrect. A receiver swaption hedges against falling interest rates and Weber is describing a payer swaption.

A is incorrect. The receiver swaption is evaluated as the bond component minus the swap component.

A.

No, because it would be correctly evaluated as the bond component minus the swap component。


答案的描述A payer swaption would hedge against rising interest rates. According to the Black model, the

value of a payer swaption can be described as the swap component minus the bond component.


选项F-swap,答案是swap-F,两个不是相反吗?谢谢老师

1 个答案

李坏_品职助教 · 2025年03月02日

嗨,从没放弃的小努力你好:


题目中是需要manage the risk of rising interest rates(他有6个月的浮动利率贷款,害怕利率上升),为了对冲利率上升的风险,需要进入payer swaption,也就是有权利在未来进入一个pay fixed and receive floating的swap。


Weber认为payer swaption = swap component - bond component。他这个叙述是对的。


先来看payer swaption的定价公式:

PAY SWN = (AP)PVA[Rfix * N(d1) – Rx * N(d2)],这里的PVA指的是折现因子,Rfix是标的资产(swap)的价格,Rx是固定的执行价格。所以PAY SWN = (AP)PVA*Rfix * N(d1)  - (AP)PVA*Rx * N(d2)。


参考CFA二级原版书的叙述:



payer swaption的价值 = swap component - bond component。所以Weber的叙述是对的,本题选C。

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