Your new client is Michael Johnson, an energetic $58-$year$-$old with a love for travel and a methodical approach to life planning. As he prepares for retirement, he envisions a future rich with adventures and new opportunities. His desired retirement age is $67,$ and he aims to enjoy his golden years until a projected life expectancy of $92.$ Currently, Michael$$s annual expenses are $$65,000,$ covering his daily needs and occasional luxuries. He anticipates this will not change. He has been carefully managing his finances and has amassed retirement savings of $$85,950,$ which he has nurtured over the years. However, Michael$$s aspirations extend beyond his personal comfort. With a strong commitment to philanthropy, he dreams of leaving a lasting legacy by donating $$1,500,000$ to a charity dear to his heart upon his passing. Amidst his goals, Michael is also considering the impact of Social Security benefits on his retirement plan. He is aware that his full retirement age for Social Security is $67,$ at which point he could receive a benefit of $$36,000($in today$$s dollars$).$ Considering various scenarios, Michael is contemplating the possibility of retiring at $67$ and incorporating Social Security benefits from that age onward. Balancing his desire for a fulfilling retirement and a meaningful legacy, Michael seeks to determine the optimal financial strategy. With an annual inflation rate of $2\mathrm{.}5\%,$ and a projected interest rate of $9\mathrm{.}5\%,$ Michael understands the importance of a comprehensive approach to his financial planning. As he steps into this crucial phase of his life, Michael looks to navigate the complex landscape of retirement preparedness with strategic foresight and informed decision$-$making.

$1.$ How much income will the client need in their first year after retirement?

$2.$ What amount of capital is necessary at the start of retirement to support their

income needs throughout retirement?

$3.$They would like to know how much they need to save each year to fund retirement?

$4.$ If they wanted to leave $$1,500,000($actual amount of donation at death$),$ how much additional capital would they need to have accumulated at the time they retire at age $67?$

$1.$ Assume this amount will continue to be invested at $9\mathrm{.}5\%$ throughout

retirement until the end of their plan.

$5.$ 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?

$1.$ Be sure to research the benefit of delayed retirement and that in your

calculation