Repeat Problem 17.6, only assume that after the stock is excavated, the land has an alternative use and can be sold for $30m.
In problem 17.6
The stock price of XYZ is $100. One million shares of XYZ (a negligible fraction of the shares outstanding) are buried on a tiny, otherwise worthless plot of land in a vault that would cost $50 million to excavate. If XYZ pays a dividend, you will have to dig up the shares to collect the dividend.
a. If you believe that XYZ will never pay a dividend, what would you pay for the land?
b. If you believe that XYZ will pay a liquidating dividend in 10 years, and the continuously compounded risk-free rate is 5%, what would you pay for the land?
c. Suppose that XYZ has a 1% dividend yield and a volatility of 0.3.