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孙际尧 · 2021年05月13日

11

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NO.PZ201902210100000102

问题如下:

Susan Winslow manages bond funds denominated in US Dollars, Euros, and British Pounds. Each fund invests in sovereign bonds and related derivatives. Each fund can invest a portion of its assets outside its base currency market with or without hedging the currency exposure, but to date Winslow has not utilized this capacity. She believes she can also hedge bonds into currencies other than a portfolio’s base currency when she expects doing so will add value. However, the legal department has not yet confirmed this interpretation. If the lawyers disagree, Winslow will be limited to either unhedged positions or hedging into each portfolio’s base currency.

Given the historically low rates available in the US, Euro, and UK markets, Winslow has decided to look for inter-market opportunities. With that in mind, she gathered observations about such trades from various sources. Winslow’s notes with respect to carry trades include these statements:

I. Carry trades may or may not involve a maturity mismatch. II. Carry trades require two yield curves with substantially different slopes. III. Inter-market carry trades just break even if both yield curves move to the forward rates.

Regarding inter-market trades in general her notes indicate: IV. Inter-market trades should be assessed based on currency-hedged returns. V. Anticipated changes in yield spreads are the primary driver of inter-market trades. VI. Whether a bond offers a relatively attractive return depends on both the portfolio’s base currency and the currency in which the bond is denominated.

Winslow thinks the Mexican and Greek markets may offer attractive opportunities to enhance returns. Yields in these markets are given in Exhibit 1, along with those for the base currencies of her portfolios. The Greek rates are for euro-denominated government bonds priced at par. In the other markets, the yields apply to par sovereign bonds as well as to the fixed side of swaps versus six-month Libor (i.e., swap spreads are zero in each market). The six-month Libor rates also represent the rates at which investors can borrow or lend in each currency. Winslow observes that the five-year Treasury-note and the five-year German government note are the cheapest to deliver against their respective futures contracts expiring in six months.

Winslow expects yields in the US, Euro, UK, and Greek markets to remain stable over the next six months. She expects Mexican yields to decline to 7.0% at all maturities. Meanwhile, she projects that the Mexican Peso will depreciate by 2% against the Euro, the US Dollar will depreciate by 1% against the Euro, and the British Pound will remain stable versus the Euro. Winslow believes bonds of the same maturity may be viewed as having the same duration for purposes of identifying the most attractive positions.

Based on these views, Winslow is considering three types of trades. First, she is looking at carry trades, with or without taking currency exposure, among her three base currency markets. Each such trade will involve extending duration (e.g., lend long/borrow short) in no more than one market. Second, assuming the legal department confirms her interpretation of permissible currency hedging, she wants to identify the most attractive five-year bond and currency exposure for each of her three portfolios from among the five markets shown in Exhibit 1. Third, she wants to identify the most attractive five-year bond and hedging decision for each portfolio if she is only allowed to hedge into the portfolio’s base currency.

Winslow’s firm has recently installed a test version of a new risk system which decomposes empirical yield curve movements into uncorrelated components and calculates the exposure of individual bonds as well as portfolios to each type of movement. The system’s current estimates for the three most important component movements are given in Exhibit 2. Unfortunately, the system did not indicate the relative importance among these three movements.

After loading the holdings of her US portfolio into the system, Winslow runs a report showing the impact of each risk component on the portfolio. The report is shown in Exhibit 3.


Which of Winslow’s statements about inter-market trades is incorrect?

选项:

A.

Statement IV

B.

Statement V

C.

Statement VI

解释:

C is correct.

Winslow’s Statement VI is incorrect. Due to covered interest arbitrage, the relative attractiveness of bonds does not depend on the currency into which they are hedged for comparison. Hence, the ranking of bonds does not depend on the base currency of the portfolio.

A is incorrect because Winslow’s Statement IV is correct. Inter-market trades should be assessed on the basis of returns hedged into a common currency. Doing so ensures that they are comparable. Neither local currency returns nor unhedged returns are comparable across markets because they involve different currency exposures/risks.

B is incorrect because Winslow’s Statement V is correct. The primary driver of inter-market trades is anticipated changes in yield differentials. Over horizons most relevant for active bond management, the capital gains/losses arising from yield movements generally dominate the income component of return (i.e., carry) and rolling down the curve. Hence, expectations with respect to yield movements are the primary driver of inter-market trade decisions.

这个2说的是carry trade需要两个收益率相差很大的曲线,carry trade不是要求一个曲收益率曲线stable且steep吗

1 个答案

pzqa015 · 2021年05月14日

嗨,从没放弃的小努力你好:


Carry trade有两种:

Intramarket carry trade要求只有一条收益率曲线,在持有期间收益率曲线stable且upward,比如现在站在t=0时刻2年期利率是1.1%,1年期利率是0.8%,那么1年以后,1年期利率还是0.8%,这样如果期初你投两年期债,1年后,你可以以0.8%的折现率卖出。

Intermarket carry trade的前提是两个币种不share 一条收益率曲线,depend on more than one yield curve。这样你就可以寻找在不同国家之间,借低利率货币,投资高利率货币。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!