You can invest in a risk-free technology that requires an upfront payment of $1 million and will provide a perpetual annual cash flow of $80,000. Suppose all interest rates will be either 10.0% or 5.0% in one year and remain there forever. The risk-neutral probability that interest rates will drop to 5.0% is 90%. The one-year risk-free interest rate is 8.0%​, and​ today's rate on a​ risk-free perpetual bond is 5.4%.The rate on an equivalent perpetual bond that is repayable at any time​ (the callable annuity​ rate) is 9.0%.
a. What is the NPV of investing today?
The NPV is _____​$. ​(Round to the nearest dollar.)
b. What is the NPV of waiting and investing tomorrow?
The NPV if the rate goes up is______​$. ​(Round to the nearest dollar.)
The NPV if the rate goes down is ​______$. ​(Round to the nearest dollar.)
The PV is______​$. (Round to the nearest dollar.)