$37$ Yesterday, Initech paid out $$0\mathrm{.}86B$ in dividends and repurchased

$$4\mathrm{.}475B$ worth of shares. Initech has $1\mathrm{.}22B$ shares outstanding and pays

all of its dividends and makes its repurchases at the end of each year.

Because of the slow$-$down in the economy, analysts expect that next year

Initech will hold dividend payments constant at yesterday's level and

cancel its stock repurchase program. Two years from now, analysts

forecast that total payouts will return to the level of yesterday. After that

date analysts expect that total payouts will grow at an annual rate of

$2\mathrm{.}5\%$ in perpetuity. Assume that investors require a $9\mathrm{.}5\%$ rate of return

on Initech shares. What is the Total Payout model estimate of the stock

price today?

A$),*557\mathrm{.}69$

THE ANSWER IS $557\mathrm{.}69$ PLEASE SHOW HOW TO GET THIS ANSWER