Part II $(70$ points$)$: Free response and workout questions. When you use your financial calculator, please show the underlying cash flows on a timeline and show exactly the manner in which the numbers were entered on your calculator$\mathrm{.}1.(25$ points$)$ Your firm offers a defined contribution retirement plan where contributions to the retirement account are $12\%$ of the employees' salary. Suppose you start working when you just turned $25$ with a $$100,000$ salary and will retire at $65.$ Suppose also that your salary will increase by $2\%$ every year and that you will manage your retirement portfolio using a combination of stock and bond funds with an expected rate of return of $8\%.$ Assume end$-$of$-$year cash flows.a$.(15$ pts$)$ What is the value of your retirement portfolio at the beginning of your retirement?b$.(10$ pts$)$ After you retire, suppose you invest your portfolio in a risk$-$free money market fund with a rate of return of $4\%.$ Will your retirement funds be sufficient if you require a fixed annual salary of $$200,000$ during retirement and expect to live $25$ years after retiring? If so$,$ how much remaining money will you have in your retirement account to leave for your children?