问题如下图:
选项:
A.
B.
C.
解释:
老师,做对了就是有点糊涂,是否此时AIt中的t=1/12?
在做的时候纠结了很久为啥给到了ONE MONTH的时间轴,却给了AIt这个不定的时间点
这个图中的T时间点到底是不是1/12呢?
包包_品职助教 · 2019年04月12日
同学你好,图中的T时间点是1/12;
AIT说的是从上个coupon day 到T时间点累积的利息,这里的T说的是图中的1/12时刻,1/12是0时刻到T时刻的时间长度。不过AIT不是从0时刻到T时刻累积的利息,而是从上个coupon day 到T时间点累积的利息
我多说一点与题目无关的就是其实这道题我们可以推算上一个coupon day 是什么时间:
AI0=0.1,AIt=0.15,那就是一个月累积的coupon是0.05,那么AI0=0.1,说明距离上一个coupon day 是2个月,那么T距离上一个coupon day 就是三个月。
NO.PZ2019010402000001 问题如下 A trar is looking for arbitrage opportunity relating to a bonfutures baseon following information: Quotefutures price=103 Conversion factor=1.02 One month remaining to expiration, no coupon ring this perio Quotebonprice=108 AI0=0.1 AIT=0.15 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?
NO.PZ2019010402000001 问题如下 A trar is looking for arbitrage opportunity relating to a bonfutures baseon following information: Quotefutures price=103 Conversion factor=1.02 One month remaining to expiration, no coupon ring this perio Quotebonprice=108 AI0=0.1 AIT=0.15 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
NO.PZ2019010402000001 问题如下 A trar is looking for arbitrage opportunity relating to a bonfutures baseon following information: Quotefutures price=103 Conversion factor=1.02 One month remaining to expiration, no coupon ring this perio Quotebonprice=108 AI0=0.1 AIT=0.15 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) 我根据解析中画图法算出来FP=102.9672,和103*1.02轧差后是2.09
NO.PZ2019010402000001 问题如下 A trar is looking for arbitrage opportunity relating to a bonfutures baseon following information: Quotefutures price=103 Conversion factor=1.02 One month remaining to expiration, no coupon ring this perio Quotebonprice=108 AI0=0.1 AIT=0.15 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) 如题
NO.PZ2019010402000001 问题如下 A trar is looking for arbitrage opportunity relating to a bonfutures baseon following information: Quotefutures price=103 Conversion factor=1.02 One month remaining to expiration, no coupon ring this perio Quotebonprice=108 AI0=0.1 AIT=0.15 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) 请问解答中arbitrage profit为什么要折现呢?