NO.PZ2019010402000022
问题如下:
Based on the following information, the value of the European-style interest rate call option is:
Assume the notional amount of the option is $1,000,000, the exercise rate is 2.6% and the RN probability is 50%.
选项:
A.2,368
B.2,529
C.3,675
解释:
B is correct.
考点:interest rate option估值
解析:
T=2:
c++ = Max(0,S++ – X) = Max[0,0.029833– 0.026] = 0.003833
c+– = Max(0,S+– – X) = Max[0,0.029378 – 0.026] = 0.003378
c– – = Max(0,S– – – X) = Max[0,0.015712 – 0.026] = 0.0
T=1:
T=0:
因为NP=1,000,000,所以call value=0.002529×1,000,000=2,529.17
在计算interest rate option value的时候,一定要特别注意折现率的选取。
c+和c- 不需要=max(0,s-x)吗?