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明明要加油 · 2023年10月05日

这道题还是不太懂

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.

According to the Black model, the value of a payer swaption can be described as the swap component minus the bond component.


我看了之前同学的提问,按照老师的提示,我又重新看了一遍基础班视频,但是李老师没有讲bond component这一块啊,只有一个callable bond 貌似和这道题的知识点也不是重合的。请老师解读。


我对这道题的理解是,这个大学要在6个月后开展一个实验室的翻新工程,然后这个翻新工程将在12个月后完成。但是国家给的钱要12个月以后才付款,所以这个大学在六个月后需要借钱进行实验室翻新。因为担心利率上涨,所以这个大学要做一个swaption,也就是在未来六个月到12个月以内,付固定,所以是payer swaption(call on interest)。题干给的swap和bond我是怎么也不能带入到这个题目里,好奇怪的知识点。


请老师解读。

3 个答案
已采纳答案

pzqa35 · 2023年10月06日

嗨,努力学习的PZer你好:


这部分内容在原版书上有讲到的,我们payer swaption的公式是

PAY SWN = (AP)PVA[RFIXN(d1) – RXN(d2)]

把这个公式进行变形就是:

PAY SWN = (AP)PVARFIXN(d1) –(AP)PVA RXN(d2)


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加油吧,让我们一起遇见更好的自己!

明明要加油 · 2023年10月06日

请问老师, PAY SWN = (AP)PVARFIXN(d1) –(AP)PVA RXN(d2)这个公式 是不是pay fixed 【付固定】理解为swap component, (AP)PVA RXN(d2)这部分,是不是可以理解为李老师说的,零息债券的现值,调整了概率N(d2)、调整了年化(AP)、调整了一系列现金流的折现求和PVA 。 请问我这么理解对吗?

李坏_品职助教 · 2023年10月07日

嗨,爱思考的PZer你好:


PAY SWN是一个期权,这个期权的价值=swap component的价值 - bond component的价值。

原版书教材的公式:PAY SWN = (AP)PVA[RFIXN(d1) – RXN(d2)]

所以可以看出,swap component的价值就是 (AP)PVA*RFIX *N(d1) ,而bond component的价值是 (AP)PVA*RX*N(d2)],你理解的是对的。

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努力的时光都是限量版,加油!

pzqa35 · 2023年10月06日

嗨,努力学习的PZer你好:


本题考察的是swaption。

Swaption,本质是一个里面嵌套了一个swap的option。本题讨论的payer swaption,是有权按照一个固定的利率进入一个支付固定收到浮动的互换,其中支付的这个固定利率便是约定好的固定利率,因此payer swaption是看涨利率,在市场利率上涨时赚钱。

根据payer swaption的公式:

其中swap component 指的是(AP)PVA(RFIX)N(d1) ,bond component 指的是 (AP)PVA(RX)N(d2)。因此可以说payer swaption相当于swap component减掉bond component。Weber的表述是正确的,选C。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

明明要加油 · 2023年10月06日

请问老师, swap component ,bond component 这俩是哪来的啊? 讲义和老师基础班没讲这个内容啊,请问怎么理解呢?

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NO.PZ2023020101000026问题如下 IST Risk Solutions provis institutionfinancirisk managementaisory anbrokerage services. Clients seek IST’s services when evaluatingwhether to hee interest rate, currency, or equity market risks. Simon Weber,senior aiser IST, is scussing a new client with analyst Noel Franco. Weber states: “Newport State College plans a $10 millionlaboratory renovation for its sciencenter anhengageIST to implementoptions strategies in orr to manage the risk of rising interest rates. Therenovation is to completein 12 months, in time for the start of the schoolyear. To minimize sruption to its acamic schele, however, Newport willnot begin the work until six months from now. State funng will not bereceiveuntil the beginning of the next school year, so a six-month variableinterest rate lowill finanthe renovation.”Weber comments: “We calso consir options on swaps,whithe Blamol views having a boncomponent ana swcomponent.The swaption, useto hee against rising interest rates, cevaluateasthe swcomponent minus the boncomponent.”Is Weber’s scription of the swaption usefor the hee most likely correct? A.No, because itwoulcorrectly evaluatethe boncomponent minus the swcomponentB.No, because heis scribing a receiver swaptionC.Yes A payer swaption woulhee against rising interest rates. Accorngto the Blamol, thevalue of a payer swaption cscribethe swcomponent minusthe boncomponent.B isincorrect. A receiver swaption hees against falling interest rates anWeberis scribing a payer swaption.A isincorrect. The receiver swaption is evaluatethe boncomponent minus theswcomponent. 怎么理解payer swaption等于swap的部分减去bon部分

2023-07-29 17:28 1 · 回答