$1.$ For this question only, assume the individual plans to live until age $100$ rather $85$ and they annuitize their accumulated retirement savings over the longer retirement period, what is the present value of tax revenue collected from the $401$k savings account?

Group of answer choices

$$249,382$

$$356,793$

$$336,793$

$$206,001$

none of these are correct

$2.$ Suppose the investor discount rate triples. What is the percentage change in the firm's stock price per share?

Group of answer choices

$3\%$

$-3\%$

$33\%$

$-33\%$

$-67\%$

$3.$ Suppose real output is expected to grow at $1\mathrm{.}8\%$ each year over a $10-$year period. Further suppose the velocity money is constant over that period of time. If the Fed wants $1\%$ price inflation, at what rate should it grow the money supply?

Group of answer choices

$2\mathrm{.}82\%$

$2\mathrm{.}58\%$

$1\mathrm{.}80\%$

$-1\mathrm{.}81\%$

$1\mathrm{.}0\%$