UV Company Has Just Been Formed with $100 Million in Equity

Essay

UV Company has just been formed with $100 million in equity capital to invest in five projects,all with infinite lives,with the following characteristics:
$\begin{array} { l c c } \text { project } & \text { return on equity } & \text { investment needs } \\\hline\text { A } & 14 \% & \$ 20 \text { million } \\\text { B } & 17 \% & \$ 15 \text { million } \\\text { C } & 11 \% & \$ 25 \text { million } \\\text { D } & 19 \% & \$ 20 \text { million } \\\text { E } & 10 \% & \$ 20 \text { million }\end{array}$

If all five projects have a beta of 1 and the riskless rate is 7%,what is the estimated price-to-book-value ratio of this firm assuming that all five projects are taken? (Assume market rate of return of 15% and the growth rate for the company is 20%)