Finance question help please would appreciated it a lot?

[Pororo]

You are being offered the opportunity to purchase shares in a new company Facebook. Its Book Equity per Share is currently $200. The company will always generate an ROE of 15% and pays out 70% of earnings as dividends each year (and will do so forever). How much would you be willing to pay per share of Facebook if you demand a rate or return of 14% on your investment?

I have no idea on how to solve this problem if someone please has some knowledge of finance could they please help me. Thank You.

[Don G]

With Equity per share of $200, a 15% return would be $30 per sh, and dividend would be $21 per sh.That's a Growth rate of 4.5%. (i.e. 30% of 15%)

Proof:
After one year, Equity per sh would be 209. (200 + 30 - 21).
That's a Growth rate of 4.5%.

After two years, Equity per sh would be 218.41 (209 + 15%, or 31.35 - 70% of 31.35)
That's also a Growth rate of 4.5%

The price today of a Constant Growth stock is Next Div / R - G.
So Price today = Next Div 21 / 14% - 4.5%, or 21 / .095 = $221.05