"Boy, this is all so confusing," said Jason as he stared at the papers on his desk. $"$If only I had taken the advice of my finance instructor, I would not be in such a predicament today." Jason Welch, aged $27,$ graduated five years ago with a degree in food marketing and is currently employed as a middle$-$level manager for a fairly successful grocery chain. His current annual salary of $$75,000$ has increased at an average rate of $5\%$ per year and is projected to increase at least at that rate for the foreseeable future.

The firm has a voluntary retirement savings program in place, whereby employees are allowed to contribute up to $11\%$ of their gross annual salary $($up to a maximum of $$12,000$ per year$)$ and the company matches every dollar that the employee contributes. Unfortunately, like many other young people who start out in their first "real" job, Jason has not yet taken advantage of the retirement savings program. He opted instead to buy a fancy car, rent an expensive apartment, and consume most of his income.

However, with wedding plans on the horizon, Jason has finally come to the realization that he had better start putting away some money for the future. His fianc$,$ Jillian, of course, had a lot to do with giving him this reality check. Jillian reminded Jason that besides retirement, there were various other large expenses that would be forthcoming and that it would be wise for him to design a comprehensive savings plan, keeping in mind the various cost estimates and timelines involved.

$5.$ If Jason starts saving immediately for the $20\%$ down payment on his house, how much additional money will he have to save each month? Assume an investment rate of return of $7\%$ per year.

$6.$ If Jason wants to have a million dollars $($in terms of today's dollars$)$ when he retires at age $65,$ how much should he save in equal monthly deposits from the end of the next month? Ignore the cost of the wedding and the down payment on the house. Assume his savings earn a rate of $7\%$ per year $($A$.$P$.$R$.).$

$7.$ If Jason saves up the million dollars $($in terms of today$$s dollars$)$ by the time of his retirement at age $65,$ how much can he withdraw each month $($beginning one month after his retirement$)$ in equal dollar amounts, if he figures he will live to the age of $85?$ Assume that his investment fund yields a nominal rate of return of $7\%$ per year.

$8.$ After preparing a detailed budget, Jason estimates that the maximum he will be able to save for retirement is $$500$ per month, for the first five years. After that he is confident that he will be able to increase the monthly saving to $$750$ per month until retirement. If the account provides a nominal annual return of $7\%,$ how much money will Jason be able to withdraw per month during his retirement phase?

$9.$ What is the lesson to be learned from this case? Explain using suitable calculations.

PLEASE answer with clear excel formulas for each question. thanks a lot