The goal of this assignment is to get acquainted with Python using Jupyter Notebooks.
You will be doing your work in a Jupyter notebook for this
assignment. You may choose to work on this assignment on a hosted
environment (e.g. tiger)
or on your own local installation of Jupyter and Python. You should use
Python 3.13 for your work. (Older versions may work, but your code will
be checked with Python 3.13.) To use tiger, use the credentials you
received. If you work remotely, make sure to download the .ipynb file to
turn in. If you choose to work locally, Anaconda, miniforge, or uv are probably the easiest ways
to install and manage Python. If you work locally, you may launch
Jupyter Lab either from the Navigator application (anaconda) or via the
command-line as jupyter-lab or
jupyter lab.
The assignment is due at 11:59pm on Friday, September 5.
You should submit the completed notebook file required for this
assignment on Blackboard. The
filename of the notebook should be a1.ipynb.
Please make sure to follow instructions to receive full credit. Use a markdown cell to Label each part of the assignment with a heading that includes the number of the section you are completing. You may put the code for each part into one or more cells.
The first cell of your notebook should be a markdown cell with a line for your name and a line for your Z-ID. If you wish to add other information (the assignment name, a description of the assignment), you may do so after these two lines.
#), lists (*), or paragraphs (empty
line in between) to obtain a new line.Write code that prints the following output. Note that there is an empty line between the first and third lines.
Hello,
DeKalb<name> (10 pts)Write code that assigns your name (a string) to a variable
name, and then outputs
*****************
* Hello, <name> *
*****************where <name> is replaced by the value of the
variable. Thus, if you change the string assigned to the variable, the
output should change. If name is "Eleanor",
then the output would be
******************
* Hello, Eleanor *
******************Note that the number of stars changes based on the
number of characters in name. You can calculate the number
of characters using in name using len(name),
and you can create a string with n stars using
'*' * n (python’s repetition operator). For a challenge
(not required), generate this output in Jupyter without using any
print statements or any other function calls besides
len.
+)
with strings.An annuity is a financial product where you add or subtract the same amount of money every period, e.g., month or year, and earn a consistent interest rate at the end of every period. In an ordinary annuity, the money is added at the end of each period. A bank account with direct deposit is an example of an ordinary annuity. In an annuity due, the money is added at the beginning of the period. Rent is an example of an annuity due. The future value of an annuity is the amount of money you will have if you add \(C\) dollars per period, earn an interest rate of \(i\), and keep it invested for \(n\) periods. The present value of an annuity is how much money you need to have in order to have \(C\) dollars per period for \(n\) periods at a rate of \(i\). Thus, \(C\) is the cash flow per period, \(i\) is the interest rate and \(n\) is the number of payments.
Write code that calculates the results according to the four formulas
related to annuities below. (Do not write functions for
this assignment; just calculate according to the formulas.) First,
create a cell that assigns the values (\(C =
1000\), \(i = .05\), \(n = 5\)) to the variables c,
i, and n. Then, write four cells (one for each
part) to calculate the formulas below. Make your code
efficient. Assign the output to its corresponding
variable (fv_ordinary, pv_ordinary,
fv_due, and pv_due) and display the output of
each formula’s calculation. Note that your formulas must use the
variables c, i, and n;
this will allow you to also check other values of those variables by
changing their values and rerunning the formula cells. For example, you
might go back to the first cell that assigns the values and change them
to \(C = 2000\), \(i = .04\), \(n =
10\), and then recompute the next four cells. Turn in your code
with the original values (\(C = 1000\),
\(i = .05\), \(n = 5\)).
\[ FVordinary(C, i, n) = C \times\ \left[\frac{(1+i)^n - 1}{i}\right] \]
\[ PVordinary(C, i, n) = C \times\ \left[\frac{1-(1+i)^{-n}}{i}\right] \]
\[ FVdue(C, i, n) = C \times\ \left[\frac{(1+i)^n - 1}{i}\right] \times (1+i) \]
\[ PVdue(C, i, n) = C \times\ \left[\frac{1-(1+i)^{-n}}{i}\right] \times (1+i) \]