Consider a company that will have total assets with market value of $$20$ million, $$65$ million, or $$140$ next year, with each outcome being equally likely, if the company is managed efficiently. However, as managers are currently engaged in wasteful spending $($that is empire building$),$ the market value is $$7$ million lower in all cases. Additionally, because managers are engaged in empire building, their activities have also increased firm risk. This means that the probabilities of the outcomes have changed and they are currently $45\%,25\%,$ and $30\%,$ respectively. What is the expected value of the company's assets due to empire building and increased risk?