Suppose that you have a sum of money \(P\) in an interest-bearing account at a local bank ( \(P\) stands for present value). If the bank pays you interest on the money at a rate of \(i\) percent per year and compounds the interest monthly, the amount of money that you will have in the bank after \(n\) months is given by the equation $$ F=P\left(1+\frac{i}{1200}\right)^{n} $$ where \(F\) is the future value of the account and \(\frac{i}{12}\) is the monthly percentage interest rate (the extra factor of 100 in the denominator converts the interest rate from percentages to fractional amounts). Write a MATLAB program that will read an initial amount of money \(P\) and an annual interest rate \(i\), and will calculate and wriv out a table showing the future value of the account every month for the next 5 years. The table should be written to an output file called "interest': Be sure to properly label the columns of your table.

To create a MATLAB program that calculates the future value of an account with a specific interest rate for 5 years, compounded monthly, follow these steps: 1. Obtain user inputs for the initial amount of money P and the annual interest rate i using the `input()` function. 2. Initialize an output file named "interest", write the table header using `fopen()` and `fprintf()`. 3. Calculate the future value (F) for each month (1 to 60) using a `for` loop, and write the values to the output file using `fprintf()`. 4. Close the output file using `fclose()`. The complete MATLAB program is as follows: ```matlab % Obtain user inputs for present value and annual interest rate P = input('Enter the initial amount of money P: '); i = input('Enter the annual interest rate i: '); % Initialize output file and write the header file = fopen('interest.txt', 'w'); fprintf(file, 'Month\t\tFuture Value\n'); % Calculate the future value for each month and write to the output file for n = 1:60 F = P * (1 + i/1200)^n; fprintf(file, '%d\t\t%.2f\n', n, F); end % Close the output file fclose(file); ``` This program generates a table showing the future value of the account every month for the next 5 years in an output file named "interest".