How and when do you use the Monte Carlo analysis? Does it have
anything to do...
How and when do you use the Monte Carlo analysis? Does it have
anything to do with understanding the probability of a risk
occurring as well?
Solutions
Expert Solution
Monte Carlo analysis is performed to know the risk impact and
its uncertainty. It is also called as probablity simulation and
generally used in forecasting in finance and project management
domains. It is applicable when there are outcomes in the form of
range of values and used for understanding the risk and
uncertainty. The main feature of the Monte Carlo analysis or
simulation is to let us know on how 'likely' the expected outcomes
going to be and on the basis of estimates range (values).
The way it works is by selecting a random value pertaining to
each task (which are based on the range of values or estimates) and
the model is formed, outcome is recorded and the entire procedure
is revised to have another set of random values. This may be
repeated many times (could be thousands) to have several random
values. Once the simulation is done , then there will be a larger
set of outcome based on the random values. These outcomes entails
the likelihood of several expected outcomes in the forecasting
model.
For example, considering a project where tasks need to be
executed one by one and the total time (in months) for project is
the summation of the tasks. By applying Monte Carlo Analysis,
single estimate for each of the project task is created. And this
will result into overall time taken in months.However, this may be
a good outcome but still it does not says about the risk that on
'likelihood' of the project completion. Hence, by using the Monte
Carlo analysis the separate estimate for each task is created by
considering the previous data (e.g. historical) and have the
minimum and maximum time. These expected time values will be used
along with 'most likely' estimate. But still the model needs more
information that means the possible range of values which may vary
from let's say 15 month to 25 months for project completion.
Therefore, it is required to create random values to calculate the
project completion time and execute the monte carlo simulation
several times (may be 300 times) to detail the risks associated
with project completion. In order to know the likelihood of the
outcome , it is needed to count on how many times the monte carlo
analysis resturned the outcome and how many times the outcome was
'<' or '=' to the time (in months).
Monte Carlo Analysis is a valuable technique to know forecasted
outcome when not sure on the future.
in
Matlab, Use the Monte Carlo analysis to compute the area of a
circle with radius 1. print out your code, at least one figure on
which the circle and ‘dart hits’ are shown, and numerical results
for N=10, 100,1000. For each N, repeat the calculation at least
5times.
problem is also a Monte Carlo simulation, but this time in the
continuous domain: must use the following fact: a circle inscribed
in a unit square
has as radius of 0.5 and an area of ?∗(0.52)=?4.π∗(0.52)=π4.
Therefore, if you generate num_trials random points in the unit
square, and count how many land inside the circle, you can
calculate an approximation of ?
For this problem, you must create code in python
(A) Draw the diagram of the unit square with...
Provide a professional application of one multivariate
simulation model (avoid a Monte Carlo analysis. In addition, please
provide a one paragraph description to the application and a one
paragraph conclusion to the application.
Write a matlab program that determines the value of pi using the
monte carlo technique. do this for a loop of multiple fixed points.
(i.e 100-10000) Plot the computed value of pi and the difference
from the true value as this number increases. Time the execution of
your code for various numbers of points, and plot the precision vs
the computational cost.