The portfolio manager holds a bond portfolio of RMB 10 million with a corrected duration of 6.8 years, which needs to be hedged for 3 months. The current futures price is 93-02, and the nominal value is ¥100,000. Assuming the duration is 9.2 years, the following calculation is made:
(1) the cash amount of the futures contract;
(2) The number of contracts required to achieve optimal hedging. (3) The number of contracts with a modified duration of 2.
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