You are a personal financial planner specialized in retirement planning. You are

working on the following three cases:

Case $1$

An employee, age $45,$ plans to retire at $65$ and has current retirement savings of

$$200,000.$ He expects to contribute $$10,000$ annually to his retirement fund. The

fund is expected to grow at an annual rate of $6\%.$

He wants to know the value of their retirement fund at age $65.$

Case $2$

An employee who is $50$ years old and plans to retire at $65.$ She has $$300,000$ in

savings and plans to contribute $$15,000$ annually. The retirement fund grows at

$7\%$ per year, but she wants to consider a $3\%$ annual inflation rate to understand

the real value of their savings at retirement.

Case $3$

An employee, age $55,$ has $$500,000$ in retirement savings. He plans to retire at

$65$ and expects the fund to grow at an annual rate of $5\%.$ He wants to know how

much he can withdraw annually for $20$ years post$-$retirement, assuming the fund

continues to grow at $3\%$ during retirement.

What are your suggestions for each case. You must show all your computations