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Rachel · 2025年05月12日

2024Mock A question set 10第A和B两个问题,没看懂答案,感觉答案写的不对也不全。麻烦老师再详细解答一下

QUESTION SET 10

TOPIC: DERIVATIVES

TOTAL POINT VALUE OF THIS QUESTION SET IS 12 POINTS

Sarah Bransfield is the co-head of equities at Schwinn Asset Management (Schwinn). Schwinn’s offerings include many international mutual funds and ETFs focused on developed markets.

Schwinn’s existing clients have expressed interest in having part of their portfolios allocated to emerging market funds. To meet this growing interest from existing clients, Schwinn is formulating an investment strategy to create a new ETF. In this new ETF, Bransfield intends to hedge both international equity exposure and the currency exposure of emerging markets. To research and understand the emerging market space, Bransfield gathers details of the potential emerging markets as presented in Exhibit 1 and lists the following strategies. Note: all currency quotes are in terms of the number of currency units in the numerator per 1 unit of currency in the denominator.

Strategy 1: Implement a carry trade in the currency pair INR/USD.

Strategy 2: Implement a carry trade in the currency pair MXN/USD.

Strategy 3: Implement a carry trade in the currency pair TRY/USD.


The annual yield for the US is 5.25%.

Bransfield seeks a deeper understanding of the derivatives used to hedge the exchange rate volatility of developed countries. She schedules a meeting with Jerry McGraw, the portfolio manager of Schwinn International Growth ETF (SIGF). In its prospectus to investors, SIGF indicates that it actively manages equity and foreign currency exposures and that the ETF uses dynamic hedging every month to rebalance existing hedges. One of the foreign currency asset holdings in SIGF is denominated in Canadian dollars (CAD). One month ago, SIGF fully hedged its exposure using a six-month CAD/USD forward contract per the details provided in Exhibit 2.

A. Calculate the total return for Strategy 1.

B. Calculate the amount SIGF needs to rebalance its CAD hedge today.


1 个答案

李坏_品职助教 · 2025年05月12日

嗨,从没放弃的小努力你好:


A问:

Strategy 1: Implement a carry trade in the currency pair INR/USD.

现在INR利率高,USD利率较低,所以需要先借入USD,再去印度进行INR的投资。


首先 借入1 USD,换成83.36 INR,然后83.36 INR投资一年变成了83.36 * (1+9.5%)= 91.2792 INR, 这个91.2792 INR等价于91.2792/85.65 = 1.0657 USD.

最后记得偿还期初借入的1美元的本金和利息,所以1.0657 USD - (1+5.25%)USD = 0.0132 USD,当然我们不可能只借入1美元,如果是借入了10000USD,所以真实的利润 = 0.0132 *10000 = 132 USD.


B问:

月初按照500 million对冲了CAD的外汇风险,现在这个CAD组合的价值是变成了520million,所以我需要调整对冲的金额。


我需要额外对冲这20million的CAD的外汇风险。

额外对冲20million CAD,就是额外去做空CAD forward合约(对冲期限是6个月,所以是six-month),也就是买入USD。那么dealer是卖出USD,所以要用ask price也就是1.3352 + 191/10000 = 1.3543

20 million CAD / 1.3543 = 14.7678 million USD。



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努力的时光都是限量版,加油!

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