Your firm has an opportunity to invest in a project that costs $$800$ and you expect it to return two payments of $$500$ per year. The interest rate of the project is $10\%.$ The current NPV of the project is $$67\mathrm{.}77.$

You also have the option to wait one year to invest $$800.$ If you wait, you will know for certain that one of two events will occur. Either you will receive two payments of $$750$ or two payments of $$300.$ The payments of $$750$ are expected with a probability of $0\mathrm{.}8$ or alternatively, the two payments of $$300$ are expected with a probability of one minus the probability of the payments of $$750.$ The interest rate of the project is still $10\%.$

What is the current present value of the NPV$,$ if they choose to wait?