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wyrw · 2025年04月13日

解析没看明白

NO.PZ2018091706000059

问题如下:

Six months ago, a dealer sold CHF 1 million forward against the GBP for a 180-day term at an all-in rate of 1.4850 (CHF/GBP). Today, the dealer wants to roll this position forward for another six months (i.e., the dealer will use an FX swap to roll the positionforward).The following are the current spot rate and forward points being quoted for the CHF/GBP currency pair:




The cash flow that the dealer will realize on the settlement date is closest to an:


选项:

A.

inflow of GBP 4,057

B.

inflow of GBP 8,100

C.

outflow of GBP 5,422

解释:

180 days ago, the dealer sold 1 million CHF against the GBP for1.4850. Today, the dealer will have to buy CHF 1 million to settle the maturing forwardcontract, so the CHF amounts will net to zero on settlement day. Because these CHFamounts net to zero, the cash flow on settlement day is measured in GBP. The GBPamount is calculated as follows: 180 days ago, the dealer sold CHF 1 million against theGBP at a rate of 1.4850, which is equivalent to buying GBP 673,400.67(1,000,000/1.4850). That is, based on the forward contract, the dealer will receive GBP673,400.67 on settlement day. Today, the dealer is buying CHF 1 million at a spot rateof 1.4940 (the mid-market spot rate, because this is an FX swap). This transaction isequivalent to selling GBP 669,344.04 (1,000,000/1.4940). That is, based on the spottransaction, the dealer will pay out GBP 669,344.04 on settlement day. Combining thesetwo legs of the swap transaction, we have:

(1,000,000/1.4850)- (1,000,000/1.4940) = GBP 4,056.63

解析:180天前,该交易商以1英镑兑1.4850瑞郎的价格卖出了100万瑞郎。那么现在,经销商必须购买100万瑞士法郎来结算到期的远期合约,那么结算日的瑞士法郎净额将为零。由于这些瑞士法郎的净值为零,所以结算日的现金流以英镑计算。英镑金额计算如下:180天前,经销商以1.4850的汇率卖出100万瑞郎兑1英镑,相当于买入673,400.67英镑(100/1.4850)。也就是说,根据远期合同,经销商在结算日收到GBP 673,400.67。今天,该交易商以1.4940瑞郎的即期利率(中间市场即期利率,因为这是一种外汇互换)买入100万瑞郎。这笔交易相当于卖出669,344.04英镑(1,000,000英镑/1.4940)。也就是说,基于现货交易,该交易商将在结算日支付669,344.04英镑。清算这两部分,可以得到:

(1000000/1.4850)-(1000000/1.4940)= 4056 .63英镑


本题意思是要做一个买入GBP的头寸和远期卖出头寸对冲,买入GBP对应的汇率怎么计算而来求详解,不应该是考虑6个月远期升贴水计算的汇率吗

1 个答案

品职助教_七七 · 2025年04月13日

嗨,努力学习的PZer你好:


本题的意思是一个卖CHF 1 million的合约现在到期,要看这笔合约在当下(settlement date)是赚是亏(“the dealer will realize on the settlement date”)。

由于合约到期,所以投资者必须现在(用GBP)买入1 million CHF来平仓。看的是spot的汇率。

由于是用FX swap来做,所以现在的spot rate用的是中间价,这一点课上没讲过,可以补充一下。GBP/CHF使用中间价的spot rate就是1/1.4940.

由于此前签订合同的汇率是1/1.4850 GBP/CHF,所以相当于settlement date时该投资者用获得卖CHF的1/1.4850,但付出新买CHF的1/1.4940。每1 CHF的净收益就是1/1.4850-1/1.4940。

由于总金额是1 million CHF,所以净盈亏就是1 million*(1/1.4850-1/1.4940),得到答案。


此后该投资者要再签一个卖1 million CHF的合约,但这并不影响“the dealer will realize on the settlement date”的情况。所以不需要考虑远期的汇率。

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NO.PZ2018091706000059问题如下 Six months ago, a aler solCHF 1 million forwargainst the Gfor a 180-y term all-in rate of 1.4850 (CHF/GBP). Toy,the aler wants to roll this position forwarfor another six months (i.e., thealer will use FX swto roll the positionforwar.The following are thecurrent spot rate anforwarpoints being quotefor the CHF/Gcurrenpair:The cash flow ththe aler will realize onthe settlement te is closest to an: inflowof G4,057 inflowof G8,100 outflowof G5,422 180ys ago, the aler sol1 million CHF against the Gfor1.4850. Toy, thealer will have to buy CHF 1 million to settle the maturing forwarontract,so the CHF amounts will net to zero on settlement y. Because these CHFamountsnet to zero, the cash flow on settlement y is measurein GBP. The GBPamountis calculatefollows: 180 ys ago, the aler solCHF 1 million againsttheGa rate of 1.4850, whiis equivalent to buying GBP673,400.67(1,000,000/1.4850). This, baseon the forwarcontract, thealer will receive GBP673,400.67 on settlement y. Toy, the aler isbuying CHF 1 million a spot rateof 1.4940 (the mimarket spot rate, becausethis is FX swap). This transaction isequivalent to selling G669,344.04(1,000,000/1.4940). This, baseon the spottransaction, the aler will payout G669,344.04 on settlement y. Combining thesetwo legs of the swaptransaction, we have:(1,000,000/1.4850)-(1,000,000/1.4940) = G4,056.63 解析180天前,该交易商以1英镑兑1.4850瑞郎的价格卖出了100万瑞郎。那么现在,经销商必须购买100万瑞士法郎来结算到期的远期合约,那么结算日的瑞士法郎净额将为零。由于这些瑞士法郎的净值为零,所以结算日的现金流以英镑计算。英镑金额计算如下:180天前,经销商以1.4850的汇率卖出100万瑞郎兑1英镑,相当于买入673,400.67英镑(100万/1.4850)。也就是说,根据远期合同,经销商在结算日收到G673,400.67。今天,该交易商以1.4940瑞郎的即期利率(中间市场即期利率,因为这是一种外汇互换)买入100万瑞郎。这笔交易相当于卖出669,344.04英镑(1,000,000英镑/1.4940)。也就是说,基于现货交易,该交易商将在结算日支付669,344.04英镑。清算这两部分,可以得到: (1000000/1.4850)-(1000000/1.4940)=4056 .63英镑 即期汇率 1.4939/1.4941

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