NO.PZ2023091601000028
问题如下:
A
fixed income portfolio manager currently holds a portfolio of bonds of various
companies. Assuming all these bonds have the same annualized probability of
default and that the defaults are independent, the number of defaults in this
portfolio over the next year follows which type of distribution?
选项:
A.
Bernoulli
B.
Normal
C.
Binomial
D.
Exponential
解释:
The result would
follow a Binomial distribution as there is a fixed number of random variables,
each with the same annualized probability of default. It is not a Bernoulli
distribution, as a Bernoulli distribution would describe the likelihood of
default of one of the individual bonds rather than of the entire portfolio
(i.e. a Binomial distribution essentially describes a group of Bernoulli
distributed variables). A normal distribution is used to model continuous
variables, while in this case the number of defaults within the portfolio is
discrete.
老师,第一句和第二句解释二项分布和贝奴利分布的英文能都翻译一下呢?