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石欣灵 · 2023年08月08日

cross currency swap

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.

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


老师,请问一下forward rate104.15怎么求得的,这里的cross currency swap basis-0.63怎么使用?

1 个答案

pzqa31 · 2023年08月09日

嗨,从没放弃的小努力你好:


根据同学截图显示的题目信息,解析里的104.15的汇率是没有办法计算得到的,我理解的是这里存在错误。

可能两种情况,一是一年以后按照原来的汇率106.85转换成美元或者按照题干中的forward rate106.12进行转换,但是都没有办法得到104.15的汇率来进行转换的。


另外,basis是-0.63,注意这里应该是-0.63%,或者说basis是-63bp;一般没有特殊说明的情况下,basis是跟着非美元的哈。

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