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Cheryl🤪 · 2024年07月19日

缺少条件?

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})

=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?

1 个答案

李坏_品职助教 · 2024年07月19日

嗨,从没放弃的小努力你好:


欧元本金是25000000,起初汇率是11.42,那么等值的港币本金 = 25000000*11.42 = 285500000

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

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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

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