Bob is a stuntman. He just turned $40$ and is thinking of purchasing a whole life annuity product that pays $$50,000$ annually, at the beginning of each year, with a structured settlement option in the event he gets injured on the job. The structured settlement is also an annuity that pays $$P$ annually at the beginning of each year. You are given:

$)=(0\mathrm{.}05.$

${?}_t{p}_x^{**}={0\mathrm{.}95}_t^t{p}_x,$ where ${?}_t{p}_x^{**}$ represents the survival probability of a person impaired under the conditions of the structured settlement.

$i=5\%.$

$50,000a_{40}^{}=P{a}_{40}^{}{?}^{**},$ where $a_{40}^{}{?}^{**}$ is the structured settlement APV paying $$1$ annually.

Which value is closest to $$P?$

$$74,100$

$$63,600$

$$82,200$

$$95,000$

$$52,600$