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Jimmyz · 2024年07月25日

这里的0时刻是3个月以前,为什么折现要按照6个月?

NO.PZ2023041003000018

问题如下:

After discussing Kemper’s new investment ideas, Doyle and Kemper evaluate one of their existing forward contract positions. Three months ago, BestFutures took a long position in eight 10-year Japanese government bond (JGB) forward contracts, with each contract having a contract notional value of 100 million yen. The contracts had a price of JPY153 (quoted as a percentage of par) when the contracts were purchased.

Now, the contracts have six months left to expiration and have a price of JPY155. The annualized six-month interest rate is 0.12%. Doyle asks Kemper to value the JGB forward position.

The value of the JGB long forward position is closest to

选项:

A.

JPY15,980,823.

B.

JPY15,990,409.

C.

JPY16,000,000.

解释:

The value of the JGB forward position is calculated as


Therefore, the value of the long forward position is 1.9988 per JPY100 par value. For the long position in eight contracts with each contract having a par value of 100 million yen, the value of the position is calculated as

0.019988 × (JPY100,000,000) × 8 = JPY15,990,409

按照6个月折现是怎么计算出来的?

1 个答案

李坏_品职助教 · 2024年07月25日

嗨,努力学习的PZer你好:


题目说了“Now, the contracts have six months left to expiration”,现在距离期末还剩下6个月


这里的153和155是forward price,对应的时间点都是期末。二者作差之后,要从期末折现到现在,这段折现的时间是6个月。

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虽然现在很辛苦,但努力过的感觉真的很好,加油!