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北欧神父 · 2023年12月10日

老师,这个不是买了日本债券,然后收到日债利息,付出美债利息吗,怎么头寸反了呢

The fixed-income assets include US$10 million invested in one-year US Treasury bonds. Stuyvesant’s evaluation of global bond and currency markets indicates that she can increase the yield on the portfolio by selling the Treasury bond position and buying Japanese government bonds of the same maturity. The data she uses for her assessment show that the US bonds pay 1.75% and Japanese bonds pay –0.40% annualized. She plans to fully hedge the currency risk. The YEN/USD spot rate is 106.85, the one-year YEN/USD forward rate is 106.12, and the one-year YEN/USD cross currency swap basis is –0.63.


Does Stuyvesant’s proposal to buy Japanese bonds most likely increase the yield on the portfolio?

  1. Yes, it increases the yield.
  2. No, because the yen appreciation does not compensate for the lower Japanese rate.
  3. No, because paying the basis would further erode the return on the Japanese government bonds.


Solution

A is correct. Stuyvesant can sell US$10,000 converted at a spot rate of 106.85 to invest proceeds of ¥1,068,500 at –0.40%. After one year, the Japanese bonds are sold (1,068,500 × 0.9960 = 1,064,226.00) and converted at the forward rate of 104.15, for proceeds of US$10,218.20. The fund has earned 10,218.20/10,000 – 1 = 2.18%. The 2.18% yield is higher than the 1.75% she could have earned in US Treasury bills. The difference is due to the basis given a high demand for US dollars

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pzqa31 · 2023年12月11日

嗨,爱思考的PZer你好:


本题考察的是cross currency basis swap。

题干大意是:本来有10million的美元国债,现在想卖掉后去买日本的政府债券。然后给到了美元债和日本债券的收益率,以及美元和日元之间的即期和远期汇率,并且告诉我们cross currency basis swap 中的basis是-0.63。问的是这个卖美元债券买日元债券的想法是否可以提高投资收益。

期初:

卖掉美元债券,通过互换合约将美元支付出去,收到日元:

10,000,000USD*106.85JPY/USD=1,068,500,000JPY,然后购买日元债券。

期间:

收到美元的利息,支付日元的利息然后加上basis(basis是-0.63,注意这里应该是0.63%,或者说basis是63bp;并且不加说明的情况下,basis是跟着非美元的)。

支付的日元利息为1,068,500,000JPY * (-0.4%-0.63%)=-11,005,550JPY,在投资期结束后,仍然按照最开始的汇率106.85JPY/USD转成美元,为-103,000美元;

期间收到的美元利息为10,000,000*1.75%=175,000美元。

因此净收到278,000美元利息,收益率为2.78%,大于1.75%。所以会增加投资收益。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!

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