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魏丽aa · 2019年03月15日

问一道题:NO.PZ2019010402000001

问题如下图:

    老师,看不懂答案,时间点有点搞不清楚,108不是已经折现了吗?到107.968,为啥又折现一遍?

选项:

A.

B.

C.

解释:



1 个答案

包包_品职助教 · 2019年03月15日

同学你好,我把这道题的解题过程再分解下你看看:

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NO.PZ2019010402000001 问题如下 A trar is looking for arbitrage opportunity relating to a bonfutures baseon following information: Ÿ Quotefutures price=103 Ÿ Conversion factor=1.02 Ÿ One month remaining to expiration, no coupon ring this perioŸ Quotebonprice=108 Ÿ AI0=0.1 Ÿ AIT=0.15 Ÿ Annucompounrisk-free rate=0.2%The arbitrage profit is closest to: A.0.8965 B.2.9075 C.1.3253 B is correct.考点fixeincome futures定价解析:No-arbitrage futures price:F0(T) =(108+0.1) (1 + 0.002)1/12-0.15=107.968市场中的futures price=quotefutures pri* CF=103*1.02=105.06arbitrage profit应该是两个futures price之差的现值所以arbitrage profit= (107.968−105.06)(1+0.2%)1/12=2.9075\frac{(107.968-105.06)}{{(1+0.2\%)}^{1/12}}=2.9075(1+0.2%)1/12(107.968−105.06)​=2.9075求No-arbitrage futures price画图:(该题合约期间没有coupon,所以PVC=0) 能否下题目中每个条件分别代表具体什么意思?

2024-06-09 16:56 2 · 回答

NO.PZ2019010402000001 问题如下 A trar is looking for arbitrage opportunity relating to a bonfutures baseon following information: Ÿ Quotefutures price=103 Ÿ Conversion factor=1.02 Ÿ One month remaining to expiration, no coupon ring this perioŸ Quotebonprice=108 Ÿ AI0=0.1 Ÿ AIT=0.15 Ÿ Annucompounrisk-free rate=0.2%The arbitrage profit is closest to: A.0.8965 B.2.9075 C.1.3253 B is correct.考点fixeincome futures定价解析:No-arbitrage futures price:F0(T) =(108+0.1) (1 + 0.002)1/12-0.15=107.968市场中的futures price=quotefutures pri* CF=103*1.02=105.06arbitrage profit应该是两个futures price之差的现值所以arbitrage profit= (107.968−105.06)(1+0.2%)1/12=2.9075\frac{(107.968-105.06)}{{(1+0.2\%)}^{1/12}}=2.9075(1+0.2%)1/12(107.968−105.06)​=2.9075求No-arbitrage futures price画图:(该题合约期间没有coupon,所以PVC=0) 为什么不用自然对数折现

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