Monsters Incorporated (MI) is ready to launch a new product. Depending upon the success of this product, MI will have a value of either $112 million, $172 million, or $194 million, with each outcome being equally likely. The cash flows are unrelated to the state of the economy (i.e. risk from the project is diversifiable) so that the project has a beta of 0 and a cost of capital equal to the risk-free rate, which is currently 5%.

Assume that the capital markets are perfect. Assume that in the event of default, 20% of the value of MI's assets will be lost in bankruptcy costs and suppose that MI has zero-coupon debt with a $125 million face value due next year. The initial value of MI's debt is closest to ($ Million) (2 decimal places):

Answer is 107.81, but please explain how.

Thank you!