# CS 19 Spring 2019

## Program One (Loan Payment Calculator)

### Filename

loan.cpp

### Program Description

Write a program ("loan.cpp") to calculate the number of payments that must be made to repay a loan. The program should output your name, pengo account and email address all on the first line of output. The second line of output should list the due date or semester, and include the assignment title and number. Then, prompt the user for the amount to be borrowed, the annual interest rate, the number of payments to be made each year, and the amount of each payment (in that order, one prompt per line.) Then output the number of payments that must be made to repay the loan, formatted to exactly one decimal place and the total amount to be repaid, formatted to exactly two decimal places.

The equation for calculating the number of payments is:

where principal is the amount borrowed,
interest is the interest rate per payment (not per year),
payment is the amount of each payment, and log is the natural logarithm.

For example, if $10,000 is borrowed at 12% annual interest rate,
with monthly payment of $263.34, we would do the following calculations:

which gives an answer of 48.0 payments to be made, and $12,640.32 to be repaid in total (or $12,640.22 is also correct.)

Your program should input from STDIN and send output to STDOUT. Your program must have at least one function (in addition to main) to calculate and return the number of loan payments.

### What to turn in

As usual, leave your .cpp file for this program ("loan.cpp") in your home directory on pengo.

### Suggestions

You may wish to use the following program as a model. Note that this example is not necessarily properly formatted. Don't forget to follow the Program Guidelines in your submission!

// Calculates volume of a cylinder #include <iostream> using namespace std; // constants (global const okay) const double PI = 3.14159265; // function prototypes double calcCylinderVolume(double, double); int main(){ double height, radius, volume; cout << endl << "Cylinder Voulume Calulator" << endl; cout << "What is the cylinder height? " << endl; cin >> height; cout << "What is the cylinder radius? "<< endl; cin >> radius; volume = calcCylinderVolume(height, radius); cout << endl << "A cylinder with height " << height; cout << " and radius " << radius; cout << " has a volume of " << volume << "." << endl; } double calcCylinderVolume(double h, double r){ return h * PI * r * r; }