Module 6 Flashcards
Who is the the Bernoulli distribution named after
Jacob Bernoulli
Bernoulli random variable is equal to either
zero or one
A binomial distribution can be thought of as a collection of
Bernoulli random variables
When a normal distribution has a mean of zero and a standard deviation of one, it is referred to as a
standard normal distribution/PDF
Standard normal distributions are the building blocks of many financial models because
a linear combination of independent normal distributions is also normal in finance
If a variable has a lognormal distribution then the log of that variable has
a normal distribution
normal distribution, ranges from
negative infinity to positive infinity
lognormal distribution ranges from and is
undefined, or zero for negative values
Given an asset with a standard return, R, if we model (1 + R) using the lognormal distribution, then R
will have a minimum value of −100%
Using the lognormal distribution provides an easy way to ensure that we avoid
returns less than -100%
Is the lognormal distribution asymmetrical or symmetrical?
asymmetrical and peaks at exp(μ − σ ^2)