***This is a MATLAB question, please answer with Matlab code.***

EXERCISE 3 (5 pts): SAVINGS ACCOUNT OPERATIONS

You began on 1 January 2015 by making an initial deposit of $5,000 to open a savings account at Bank of America. This account pays 0.135% interest per month. Every seven months, at the end of the month, you withdraw $400 to pay your accumulated credit card balance. At the end of December each year you receive a $2,000 end-of-year bonus from your employer which you deposit into your account. On 30 June 2017 (that is, 30 months after your initial deposit), your account's interest rate increases from 0.135% per month to 0.25% per month for the next six months (until month #36), after which it drops from 0.25% per month to 0.125% per month and then stays fixed (i.e., constant forever).

QUESTION ONE: What is your account balance on 1 January 2020 (i.e., after 60 months have passed)?

QUESTION TWO: Prepare a plot showing the variation in your account balance from the beginning of month 1 to the beginning of month 61.

QUESTION THREE: At the beginning of which month will you have accumulated more than $8,000 in youraccount?