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eee · 2019年04月01日

swap书后第11题





Millau has just sold a Japanese subsidiary for 65 billion yen (JPY65,000,000,000). Because of an impending tax law change, Gide wishes to wait six months before repatriating these funds. Gide plans to invest the sale proceeds in six-month Japanese government securities and hedge the currency risk by using forward contracts. Gide’s research indicates that the yen will depreciate against the euro (EUR) over the next six months. Darc has gathered the exchange rate and interest rate information given in Exhibit 1. The day-count convention is 30/360.

(Institute 409)


Exhibit 1. Exchange Rate and Interest Rate Information
Currency Exchange RatesSpot    3-Month Forward6-Month Forward1-Year Forward
US dollars per euro (USD/EUR)1.19301.19701.20301.2140
Japanese yen per euro (JPY/EUR)133.83133.14132.46131.13
Swiss francs per euro (CHF/EUR)1.55401.54901.54401.5340
Annualized Risk-Free Interest Rates (%)1 Month    3 Month6 Month1 Year
Euro area2.1102.1202.1302.150
United States3.3403.5603.7703.990
Japan0.0400.0560.0660.090
Switzerland0.7300.7500.7600.780

11.If Gide uses a six-month forward currency contract to convert the yen received from the sale of the Japanese subsidiary into euros, the annualized return in euros that Millau will realize is closest to:

  1. 0.066%.

  2. 2.130%.

  3. 2.196%.

此题我有点迷糊,如果完全hedge 的话,那么在本国投资和在本国借款到外国投资再转回本国的收益率应该是一样的,而日本利率是0.066%,欧洲是2.13,如果问题是return in japan 那么答案应该是0.066吗?还是也是2.13%?即如果是0.066%的话,即使完全hedge汇率,日本投资者收益率比欧洲投资者低?



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企鹅_品职助教 · 2019年04月04日

是的,完全hedge汇率时,日元的return 是0.066, 日元的return比欧元的return低

企鹅_品职助教 · 2019年04月02日

currency risk被完全hedge, 所以the annualized return in euros =2.13% (表格中给的euro area的数据).

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