An amount of money P is invested in an account where interest is compounded at the end of the period. The future worth F yielded at an interest rate i after n periods may be determined from the following formula:  F=P(1+i)n. F=P(1+i)n.
Write a program that will calculate the future worth of an investment for each year from 1 through n. The input to the function should include the initial investment P, the interest rate i (as a decimal), and the number of years n for which the future worth is to be calculated. The output should consist of a table with headings and columns for n and F. Run the program for P = $100,000, i=.05, n=10 years F=P(1+i)nF=P(1+i)n

Modify the problem by using the following general formula for compounding interests: F=P(1+i/m)^mn where, m is the number of interest payments per year. Solve the problem for m=1 (annual) and m=12 (monthly).