$($ First, show all your work and steps for each question. This means listing all inputs and variables clearly, followed by explaining your answers in plain language $($i$.$e$.,$ an executive summary$).$ Provide supporting evidence from the textbook or other relevant sources. Format your answers as a professional report prepared for a client's financial planning team, ensuring professionalism. You may include your calculations or detailed steps for each question at the end, after the executive summary$).$

How much income will the client need in their first year after retirement?

What amount of capital is necessary at the start of retirement to support their income needs throughout retirement?

They would like to know how much they need to save each year to fund retirement?

If they wanted to leave $$250,000($actual amount of donation at death$),$ how much additional capital would they need to have accumulated at the time they retire at age $67?$ Assume this amount will continue to be invested at $9\mathrm{.}5\%$ throughout retirement until the end of their plan.

For purposes of Social Security retirement benefits, the client will reach full retirement age at $67.$ Their full benefit is expected to be $$36,000$ in today's dollars. If they decide to factor in Social Security and begin taking Social Security benefits when they at age $70,$ how much would they need to save every year?

$$ Be sure to research the benefit of delayed retirement and that in your calculation. Michael age $58$ yr old wants to retire $67.$ Expects to live to $92.$ Anticipates expenses through retirement $$65,000.$ He currenlty have $$85,950$ he wants to leave $$250,000$ to charity at death. Social security full amt $$36,000$ in todays dollars. Projected interest is $9\mathrm{.}5\%$ and inflation $2\mathrm{.}5\%$