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monicaaaaa · 2024年10月16日

market value

* 问题详情,请 查看题干

NO.PZ201601050100001702

问题如下:

Based on Exhibit 1, the number of Treasury futures contracts Whitacre should sell to achieve Monetize’s objective with respect to Portfolio A is closest to:

选项:

A.

490.

B.

518.

C.

676.

解释:

A is correct.

Monetize wants to reduce Portfolio A’s modified duration to a target of 3.10. BPVT is calculated as follows:


The basis point value of Portfolio A (BPVP) is $130,342.94, and the basis point value of the cheapest-to-deliver bond (BPVCTD) is $127.05 with a conversion factor of 0.72382. The basis point value hedge ratio (BPVHR), which provides the number of futures contracts needed, is then calculated as follows:


Thus, to decrease the modified duration of Portfolio A to 3.10, Whitacre should sell 490 Treasury bond futures contracts

中文解析:

本题考察的是使用债券期货合约调节组合的duration。

根据题干信息可知,当前的目标duration是3.1,据此可以计算出BPVT =$44,402.54

然后仍然带入公式:


计算结果为-489.613,约等于490份,负号代表short。

我是把bpv拆成mdur和marketvalue算的,算下来数量级不一样但是选对了,请问market value of futures是不是需要乘以contract size呢

2 个答案

李坏_品职助教 · 2024年10月17日

嗨,努力学习的PZer你好:


题目给出的market value已经是考虑了contract size,不需要再乘以100000的size。

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努力的时光都是限量版,加油!

李坏_品职助教 · 2024年10月17日

嗨,努力学习的PZer你好:


BPV的意思是basis point value,也就是1个基点的利率变动对应的value。所以要乘以0.01%


你不乘以0.01%当然也可以求出最后的结果,因为分子分母都是BPV,这个0.01%约掉了。

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加油吧,让我们一起遇见更好的自己!

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NO.PZ201601050100001702 问题如下 GlobMega (Global) is a versifiefinanciservices firm. Yasuko Regan, senior trar, anMarcus Whitacre, junior trar, both work on the firm’s rivatives sk. ReganWhitacre assist in structuring animplementing tras for clients in the financiservices instry thhave limiterivatives expertise. ReganWhitacre are currently assisting one of Global’s clients—Monatize, asset management firm—with two of its portfolios: Portfolio A anPortfolio B.Portfolio A is a bonportfolio composesolely of US Treasury bon. Monatize haskeGlobto quote the number of Treasury futures contracts necessary to fully hee this bonportfolio against a rise in interest rates. Exhibit 1 presents selecteta on Portfolio the relevant Treasury futures contract, anthe cheapest-toliver (CT bonAfter internscussion, Monatize elects to not hee Portfolio A but rather crease the portfolio’s mofieration to 3.10. Regasks Whitacre to compute the number of Treasury futures contracts to sell in orr to achieve this objective. Regtells Whitacre to assume the yielcurve is flat.Portfolio B is a $100,000,000 equity portfolio inxeto the S P 500 Inx, with excess cash of $4,800,000. Monatize is requireto equitize its excess cash to fully investe anthe firm rects Globto purchase futures contracts to so. To replicate the return of Portfolio B’s target inx, Whitacre purchases S P 500 futures contracts, a priof 3,300 per contract, thhave a multiplier of $250 per inx point ana beta of 1.00.Monatize’s CFO anRegscuss two potentiheing strategies for Portfolio B to proteagainst a hypotheticextreme sell-off in equities. Regfirst suggests thMonatize coulenter into a totreturn equity swap, whereMonatize agrees to pthe return on the S P 500 anreceive a fixeinterest rate pre-specifietes in exchange for a fee.Regnext suggests thMonatize coulalternatively hee Portfolio B using varianswaps. Monatize’s CFO asks Regto calculate whthe gain woulin five months on a purchase of $1,000,000 vega notionof a one-yevarianswon the S P 500 a strike of 15% (quoteannuvolatility), assuming the following:■ Over the next five months, the S P 500 experiences a realizevolatility of 20%; ■ the enof the five-month perio the fair strike of a new seven-month varianswon the S P 500 will 18%; an The annuinterest rate is 1.50%.ReganWhitacre scuss the use of ferfun futures contracts to infer probabilities of future monetary polichanges. Whitacre makes the following three statements about fefun futures contracts:Statement 1 Typicenof-month activity large financianbanking institutions often inces “ps” in the effective fefun rate.Statement 2 Especially for the longer-term horizon, the probabilities inferrefrom the pricing of fefun futures usually have strong prective powerStatement 3To rive probabilities of FerReserve interest rate actions, market participants look the pricing of fefun futures, whiare tieto the FerReserve’s target fefun rate.Whitacre then proposes to RegthGlobexplore opportunities in bonfutures arbitrage. Whitacre makes the following two statements:Statement 4 If the basis is positive, a trar woulmake a profit “selling the basis.” Statement 5 If the basis is negative, a trar woulmake a profit selling the bonanbuying the futures. Baseon Exhibit 1, the number of Treasury futures contracts Whitacre shoulsell to achieve Monetize’s objective with respeto Portfolio A is closest to: A.490. B.518. C.676. A is correct. Monetize wants to rePortfolio A’s mofieration to a target of 3.10. BPVT is calculatefollows:The basis point value of Portfolio A (BPVP) is $130,342.94, anthe basis point value of the cheapest-to-liver bon(BPVCT is $127.05 with a conversion factor of 0.72382. The basis point value hee ratio (BPVHR), whiprovis the number of futures contracts nee is then calculatefollows:Thus, to crease the mofieration of Portfolio A to 3.10, Whitacre shoulsell 490 Treasury bonfutures contracts中文解析本题考察的是使用债券期货合约调节组合的ration。根据题干信息可知,当前的目标ration是3.1,据此可以计算出BPVT =$44,402.54然后仍然带入公式 计算结果为-489.613,约等于490份,负号代表short。 用公式得出的BPV和题目中给出的BPV有什么不同?为什么要用公式计算出的BPV?

2024-08-06 16:22 1 · 回答

NO.PZ201601050100001702 问题如下 Baseon Exhibit 1, the number of Treasury futures contracts Whitacre shoulsell to achieve Monetize’s objective with respeto Portfolio A is closest to: A.490. B.518. C.676. A is correct. Monetize wants to rePortfolio A’s mofieration to a target of 3.10. BPVT is calculatefollows:The basis point value of Portfolio A (BPVP) is $130,342.94, anthe basis point value of the cheapest-to-liver bon(BPVCT is $127.05 with a conversion factor of 0.72382. The basis point value hee ratio (BPVHR), whiprovis the number of futures contracts nee is then calculatefollows:Thus, to crease the mofieration of Portfolio A to 3.10, Whitacre shoulsell 490 Treasury bonfutures contracts中文解析本题考察的是使用债券期货合约调节组合的ration。根据题干信息可知,当前的目标ration是3.1,据此可以计算出BPVT =$44,402.54然后仍然带入公式 计算结果为-489.613,约等于490份,负号代表short。 如题

2023-05-28 19:04 1 · 回答

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2022-08-11 08:46 1 · 回答