开发者:上海品职教育科技有限公司 隐私政策详情

应用版本:4.2.11(IOS)|3.2.5(安卓)APP下载

Carolyne · 2024年02月28日

方向

NO.PZ2023020101000018

问题如下:

Whitney meets with Grand Manufacturing. This client is based in Hong Kong but requires a €25,000,000 one-year bridge loan to fund operations in Germany. Grand Manufacturing is currently able to borrow euros at an interest rate of 3.75% but wonders if there is a less expensive alternative. Whitney advises Grand to borrow in HK$ and enter into a one-year foreign currency swap with quarterly payments to receive euros at a fixed rate and pay HK$ at a fixed rate. The current exchange rate is HK$11.42 per €1, and the notional amounts will be exchanged at initiation and at maturity.The annualized rate is 2.3181% for Euros and 1.8550% for HK$.

Ninety days have passed since Whitney’s initial meetings, and in the interim interest rates have increased dramatically. Whitney’s clients have asked to meet with her to review their positions.

In order to prepare for the meeting, Whitney has obtained updated interest rate data that is presented in Exhibit 2. In addition, she determines that the exchange rate for the Hong Kong dollar is HK$9.96 per €1, and the US stock index is at 905Exhibit 2: Present Value Factors Based on Current Australian Term Structure.

Exhibit 2 Term Structure of Rates 90 Days Later (%)

Note: Euribor is Euro Interbank Offered Rate. Hibor is the Hong Kong Interbank Offered Rate. All rates shown are annualized

Using the data in Exhibit 2, the market value of Grand Manufacturing’s swap after 90 days is closest to:

选项:

A.

–€4,103,142

B.

€2,701,178

C.

–€3,625,900

解释:

Grand borrows HK$285,500,000 and exchanges it for €25,000,000 based on the initial exchange rate of HK$11.42 per euro.

Grand will pay an interest rate of 1.8550% on the borrowed HK dollars and earn 2.3181% on the lent/invested euros.

Ninety days into the swap, the exchange rate is HK$9.96, and the PV factors are:

Va=NAa,0(rFIX,a,0i=1nPVt,ti,a+PVt,tn,a)S0NAb,0(rFIX,b,0i=1nPVt,ti,b+PVt,tn,b)V_a=NA_{a,0}(r_{FIX,a,0}\sum_{i=1}^nPV_{t,t_i,a}+PV_{t,t_n,a})-S_0NA_{b,0}(r_{FIX,b,0}\sum_{i=1}^nPV_{t,t_i,b}+PV_{t,t_n,b})

=€25,000,000×[0.005795(2.9552)+0.977422] -285,500,000/HK$/€9.96×[0.004637(2.9632)+0.980152]

=€24,863,685-€28,489,585=-€3,625,900

客户想要欧元,那么应该是欠(支付)欧元利息 但是为什么题干说是收到欧元利息呢?老师基础班讲的例题说的是客户想要澳元,那么就支付澳元利息。

2 个答案
已采纳答案

pzqa35 · 2024年02月28日

嗨,努力学习的PZer你好:


同学的理解是对的哈,这道题目是协会给的一道PE题目,按照我们正常的逻辑来理解应该就是这个公司先在香港的市场上借港币,同时进入到一个收港币、支付欧元的互换,最终把港币的贷款转换成一个欧元贷款的头寸。这也是老师上课的一个逻辑。

但是这道题目确实是有点不太符合逻辑,它给出的头寸刚好是相反的,同学这道题重点掌握swap的value计算即可。

----------------------------------------------
加油吧,让我们一起遇见更好的自己!

Carolyne · 2024年02月28日

那我还是按照“想要借入什么货币 就支付什么货币的利息”这个原则记。

pzqa35 · 2024年02月28日

嗨,努力学习的PZer你好:


是的,这个是符合逻辑的。但是我们也要以防考试的时候,如果题目中明确告诉我们头寸是怎样的,就像这道题一样,那我们就按照题目中的来,如果是需要我们进行判断的,那就按照同学的这个原则来。

----------------------------------------------
努力的时光都是限量版,加油!

  • 2

    回答
  • 0

    关注
  • 8247

    浏览
相关问题

NO.PZ2023020101000018 问题如下 Whitney meets with GranManufacturing.This client is basein Hong Kong but requires a €25,000,000 one-yebrieloto funoperations in Germany. GranManufacturing is currently able toborrow euros interest rate of 3.75% but wonrs if there is a lessexpensive alternative. Whitney aises Granto borrow in HK$ anenter into aone-yeforeign currenswwith quarterly payments to receive euros a fixeate anpHK$ a fixerate. The current exchange rate is HK$11.42 per €1,anthe notionamounts will exchangeinitiation anmaturity.The annualizerate is 2.3181% for Euros an1.8550% for HK$.Ninety ys have passesinWhitney’sinitimeetings, anin the interim interest rates have increaseamatically.Whitney’s clients have asketo meet with her to review their positions.In orr to prepare for the meeting,Whitney hobtaineupteinterest rate ta this presentein Exhibit 2.In aition, she termines ththe exchange rate for the Hong Kong llisHK$9.96 per €1, anthe US stoinx is 905Exhibit 2: Present Value FactorsBaseon Current AustraliTerm Structure. Exhibit 2Term Structure of Rates 90 ys Later (%)Note: Euribor isEuro Interbank OffereRate. Hibor is the Hong Kong Interbank OffereRate. Allrates shown are annualizeUsing the ta in Exhibit 2, the market value of Grananufacturing’s swafter 90 ys is closest to: A.–€4,103,142 B.€2,701,178 C.€3,625,900 Granborrows HK$285,500,000 anexchangesit for €25,000,000 baseon the initiexchange rate of HK$11.42 per euro. Granwill pinterest rate of 1.8550%on the borroweHK llars anearn 2.3181% on the lent/investeeuros.Ninety ys into the swap, the exchangerate is HK$9.96, anthe PV factors are:Va=NAa,0(rFIX,a,0∑i=1nPVt,ti,a+PVt,tn,a)−S0NAb,0(rFIX,b,0∑i=1nPVt,ti,b+PVt,tn,b)V_a=NA_{a,0}(r_{FIX,a,0}\sum_{i=1}^nPV_{t,t_i,a}+PV_{t,t_n,a})-S_0NA_{b,0}(r_{FIX,b,0}\sum_{i=1}^nPV_{t,t_i,b}+PV_{t,t_n,b})Va​=NAa,0​(rFIX,a,0​∑i=1n​PVt,ti​,a​+PVt,tn​,a​)−S0​NAb,0​(rFIX,b,0​∑i=1n​PVt,ti​,b​+PVt,tn​,b​)€=285,500,000/HK$/€9.96×[0.004637(2.9632)+0.980152]-€25,000,000×[0.005795(2.9552)+0.977422] =€28,489,585-€24,863,685=€3,625,900 285,500,000/HK$/€9.96不应该又按最新的汇率换成欧元了?再用欧元乘以HK折现因子?不太理解这个点

2024-09-16 22:35 1 · 回答

NO.PZ2023020101000018问题如下 Whitney meets with GranManufacturing.This client is basein Hong Kong but requires a €25,000,000 one-yebrieloto funoperations in Germany. GranManufacturing is currently able toborrow euros interest rate of 3.75% but wonrs if there is a lessexpensive alternative. Whitney aises Granto borrow in HK$ anenter into aone-yeforeign currenswwith quarterly payments to receive euros a fixeate anpHK$ a fixerate. The current exchange rate is HK$11.42 per €1,anthe notionamounts will exchangeinitiation anmaturity.The annualizerate is 2.3181% for Euros an1.8550% for HK$.Ninety ys have passesinWhitney’sinitimeetings, anin the interim interest rates have increaseamatically.Whitney’s clients have asketo meet with her to review their positions.In orr to prepare for the meeting,Whitney hobtaineupteinterest rate ta this presentein Exhibit 2.In aition, she termines ththe exchange rate for the Hong Kong llisHK$9.96 per €1, anthe US stoinx is 905Exhibit 2: Present Value FactorsBaseon Current AustraliTerm Structure. Exhibit 2Term Structure of Rates 90 ys Later (%)Note: Euribor isEuro Interbank OffereRate. Hibor is the Hong Kong Interbank OffereRate. Allrates shown are annualizeUsing the ta in Exhibit 2, the market value of Grananufacturing’s swafter 90 ys is closest to: A.–€4,103,142B.€2,701,178C.€3,625,900 Granborrows HK$285,500,000 anexchangesit for €25,000,000 baseon the initiexchange rate of HK$11.42 per euro. Granwill pinterest rate of 1.8550%on the borroweHK llars anearn 2.3181% on the lent/investeeuros.Ninety ys into the swap, the exchangerate is HK$9.96, anthe PV factors are:Va=NAa,0(rFIX,a,0∑i=1nPVt,ti,a+PVt,tn,a)−S0NAb,0(rFIX,b,0∑i=1nPVt,ti,b+PVt,tn,b)V_a=NA_{a,0}(r_{FIX,a,0}\sum_{i=1}^nPV_{t,t_i,a}+PV_{t,t_n,a})-S_0NA_{b,0}(r_{FIX,b,0}\sum_{i=1}^nPV_{t,t_i,b}+PV_{t,t_n,b})Va​=NAa,0​(rFIX,a,0​∑i=1n​PVt,ti​,a​+PVt,tn​,a​)−S0​NAb,0​(rFIX,b,0​∑i=1n​PVt,ti​,b​+PVt,tn​,b​)€=285,500,000/HK$/€9.96×[0.004637(2.9632)+0.980152]-€25,000,000×[0.005795(2.9552)+0.977422] =€28,489,585-€24,863,685=€3,625,900 2855000000HK是怎么来的?

2024-07-19 11:09 1 · 回答

NO.PZ2023020101000018 问题如下 Whitney meets with GranManufacturing.This client is basein Hong Kong but requires a €25,000,000 one-yebrieloto funoperations in Germany. GranManufacturing is currently able toborrow euros interest rate of 3.75% but wonrs if there is a lessexpensive alternative. Whitney aises Granto borrow in HK$ anenter into aone-yeforeign currenswwith quarterly payments to receive euros a fixeate anpHK$ a fixerate. The current exchange rate is HK$11.42 per €1,anthe notionamounts will exchangeinitiation anmaturity.The annualizerate is 2.3181% for Euros an1.8550% for HK$.Ninety ys have passesinWhitney’sinitimeetings, anin the interim interest rates have increaseamatically.Whitney’s clients have asketo meet with her to review their positions.In orr to prepare for the meeting,Whitney hobtaineupteinterest rate ta this presentein Exhibit 2.In aition, she termines ththe exchange rate for the Hong Kong llisHK$9.96 per €1, anthe US stoinx is 905Exhibit 2: Present Value FactorsBaseon Current AustraliTerm Structure. Exhibit 2Term Structure of Rates 90 ys Later (%)Note: Euribor isEuro Interbank OffereRate. Hibor is the Hong Kong Interbank OffereRate. Allrates shown are annualizeUsing the ta in Exhibit 2, the market value of Grananufacturing’s swafter 90 ys is closest to: A.–€4,103,142 B.€2,701,178 C.€3,625,900 Granborrows HK$285,500,000 anexchangesit for €25,000,000 baseon the initiexchange rate of HK$11.42 per euro. Granwill pinterest rate of 1.8550%on the borroweHK llars anearn 2.3181% on the lent/investeeuros.Ninety ys into the swap, the exchangerate is HK$9.96, anthe PV factors are:Va=NAa,0(rFIX,a,0∑i=1nPVt,ti,a+PVt,tn,a)−S0NAb,0(rFIX,b,0∑i=1nPVt,ti,b+PVt,tn,b)V_a=NA_{a,0}(r_{FIX,a,0}\sum_{i=1}^nPV_{t,t_i,a}+PV_{t,t_n,a})-S_0NA_{b,0}(r_{FIX,b,0}\sum_{i=1}^nPV_{t,t_i,b}+PV_{t,t_n,b})Va​=NAa,0​(rFIX,a,0​∑i=1n​PVt,ti​,a​+PVt,tn​,a​)−S0​NAb,0​(rFIX,b,0​∑i=1n​PVt,ti​,b​+PVt,tn​,b​)€=285,500,000/HK$/€9.96×[0.004637(2.9632)+0.980152]-€25,000,000×[0.005795(2.9552)+0.977422] =€28,489,585-€24,863,685=€3,625,900 固收里面我都是取4位计算,然后每次计算都跟答案能对上,但是到衍生品这里做题,同样是取4位,很多次都跟答案差一些。然后就会反复验算但都发现结果没有问题,最后点开答案发现就是小数点取整导致的结果不一致……这个所以到底应该取几位可以呢?

2024-06-15 14:51 1 · 回答

NO.PZ2023020101000018问题如下 Whitney meets with GranManufacturing.This client is basein Hong Kong but requires a €25,000,000 one-yebrieloto funoperations in Germany. GranManufacturing is currently able toborrow euros interest rate of 3.75% but wonrs if there is a lessexpensive alternative. Whitney aises Granto borrow in HK$ anenter into aone-yeforeign currenswwith quarterly payments to receive euros a fixeate anpHK$ a fixerate. The current exchange rate is HK$11.42 per €1,anthe notionamounts will exchangeinitiation anmaturity.The annualizerate is 2.3181% for Euros an1.8550% for HK$.Ninety ys have passesinWhitney’sinitimeetings, anin the interim interest rates have increaseamatically.Whitney’s clients have asketo meet with her to review their positions.In orr to prepare for the meeting,Whitney hobtaineupteinterest rate ta this presentein Exhibit 2.In aition, she termines ththe exchange rate for the Hong Kong llisHK$9.96 per €1, anthe US stoinx is 905Exhibit 2: Present Value FactorsBaseon Current AustraliTerm Structure. Exhibit 2Term Structure of Rates 90 ys Later (%)Note: Euribor isEuro Interbank OffereRate. Hibor is the Hong Kong Interbank OffereRate. Allrates shown are annualizeUsing the ta in Exhibit 2, the market value of Grananufacturing’s swafter 90 ys is closest to: A.–€4,103,142B.€2,701,178C.€3,625,900 Granborrows HK$285,500,000 anexchangesit for €25,000,000 baseon the initiexchange rate of HK$11.42 per euro. Granwill pinterest rate of 1.8550%on the borroweHK llars anearn 2.3181% on the lent/investeeuros.Ninety ys into the swap, the exchangerate is HK$9.96, anthe PV factors are:Va=NAa,0(rFIX,a,0∑i=1nPVt,ti,a+PVt,tn,a)−S0NAb,0(rFIX,b,0∑i=1nPVt,ti,b+PVt,tn,b)V_a=NA_{a,0}(r_{FIX,a,0}\sum_{i=1}^nPV_{t,t_i,a}+PV_{t,t_n,a})-S_0NA_{b,0}(r_{FIX,b,0}\sum_{i=1}^nPV_{t,t_i,b}+PV_{t,t_n,b})Va​=NAa,0​(rFIX,a,0​∑i=1n​PVt,ti​,a​+PVt,tn​,a​)−S0​NAb,0​(rFIX,b,0​∑i=1n​PVt,ti​,b​+PVt,tn​,b​)€=285,500,000/HK$/€9.96×[0.004637(2.9632)+0.980152]-€25,000,000×[0.005795(2.9552)+0.977422] =€28,489,585-€24,863,685=€3,625,900 请问这题的两个币种的fixerate为什么是用单利计算直接除4;为什么不是用普通复利(1+2.3183%)^1/4-1以及(1+1.855%)^1/4-1

2024-05-28 11:08 1 · 回答

NO.PZ2023020101000018 问题如下 Whitney meets with GranManufacturing.This client is basein Hong Kong but requires a €25,000,000 one-yebrieloto funoperations in Germany. GranManufacturing is currently able toborrow euros interest rate of 3.75% but wonrs if there is a lessexpensive alternative. Whitney aises Granto borrow in HK$ anenter into aone-yeforeign currenswwith quarterly payments to receive euros a fixeate anpHK$ a fixerate. The current exchange rate is HK$11.42 per €1,anthe notionamounts will exchangeinitiation anmaturity.The annualizerate is 2.3181% for Euros an1.8550% for HK$.Ninety ys have passesinWhitney’sinitimeetings, anin the interim interest rates have increaseamatically.Whitney’s clients have asketo meet with her to review their positions.In orr to prepare for the meeting,Whitney hobtaineupteinterest rate ta this presentein Exhibit 2.In aition, she termines ththe exchange rate for the Hong Kong llisHK$9.96 per €1, anthe US stoinx is 905Exhibit 2: Present Value FactorsBaseon Current AustraliTerm Structure. Exhibit 2Term Structure of Rates 90 ys Later (%)Note: Euribor isEuro Interbank OffereRate. Hibor is the Hong Kong Interbank OffereRate. Allrates shown are annualizeUsing the ta in Exhibit 2, the market value of Grananufacturing’s swafter 90 ys is closest to: A.–€4,103,142 B.€2,701,178 C.€3,625,900 Granborrows HK$285,500,000 anexchangesit for €25,000,000 baseon the initiexchange rate of HK$11.42 per euro. Granwill pinterest rate of 1.8550%on the borroweHK llars anearn 2.3181% on the lent/investeeuros.Ninety ys into the swap, the exchangerate is HK$9.96, anthe PV factors are:Va=NAa,0(rFIX,a,0∑i=1nPVt,ti,a+PVt,tn,a)−S0NAb,0(rFIX,b,0∑i=1nPVt,ti,b+PVt,tn,b)V_a=NA_{a,0}(r_{FIX,a,0}\sum_{i=1}^nPV_{t,t_i,a}+PV_{t,t_n,a})-S_0NA_{b,0}(r_{FIX,b,0}\sum_{i=1}^nPV_{t,t_i,b}+PV_{t,t_n,b})Va​=NAa,0​(rFIX,a,0​∑i=1n​PVt,ti​,a​+PVt,tn​,a​)−S0​NAb,0​(rFIX,b,0​∑i=1n​PVt,ti​,b​+PVt,tn​,b​)€=285,500,000/HK$/€9.96×[0.004637(2.9632)+0.980152]-€25,000,000×[0.005795(2.9552)+0.977422] =€28,489,585-€24,863,685=€3,625,900 不是题目里说了Whitney aises Granto borrow in HK$ anenter into a one-yeforeign currenswwith quarterly payments to receive euros a fixerate anpHK$ a fixerate. 已经说了要在期间收欧元支付港币,为啥最后计算的时候是相反的呢?

2024-04-24 11:15 1 · 回答