$()20.$ Professor's Annuity Corp. offers a lifetime annuity to retiring professors. For a payment of

$$100,000$ at age $65,$ the firm will pay the retiring professor a monthly payment until death. If the

professor's remaining life expectancy is $30$ years. If the monthly interest rate is $0\mathrm{.}6\%,$ what monthly

annuity payment can the firm offer to the retiring professor?

A$.$ $$678\mathrm{.}79$

B$.$ $$813\mathrm{.}50$

C$.$ $$927\mathrm{.}50$

D$.$ $$1,026\mathrm{.}64$

$()21.$ A stock purchased at $$50$ at the beginning of the year paid $$10$ in dividends and was sold

for a net price of $$52$ at the end of the year. The total annual return is

A$.20$ percent

B$.24$ percent

C$.28$ percent

D$.30$ percent

$()22.$ what is the estimated value of a stock, which just paid a $$10$ dividend, expects dividends to

grow at $10\%,$ and requires a $20\%$ return?

A$.$ $$100$

B$.$ $$110$

C$.$ $$120$

D$.$ $$121$