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12@Manchester · 2025年06月28日

题目头寸写错了方向

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})

=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

题目写公司进入的swap是收欧元的fix,付hk的fix,头寸不对。

应该是pay 欧元 fix, receive hk fix

1 个答案

李坏_品职助教 · 2025年06月28日

嗨,努力学习的PZer你好:


是的 你说的是对的,这个题目的题干有问题。公司总部在香港,所以借入港币有优势,它的意图是为了最终借到欧元融资。


所以完整的表述应该是,公司跟香港银行借入港币,通过swap把港币期初借给对手,对手期初给公司支付欧元。之后付利息的时候,公司应该是pay Euro并且receive HKD。期末的时候公司偿还欧元本金、收取港币本金。



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