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.
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$9.96, and the PV factors are:
=285,500,000/HK$/€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fixed rate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
