Consider that Axis Corporation is a mid$-$sized manufacturing firm. It is planning to introduce a new product $$Dirt$-$Buster$$ in the market this year. Based on the possibility of being successful with the $$Dirt$-$Buster$,$ Axis is expecting to have one of the four values of the firm next year: $$160$ million, $$145$ million, $$90$ million, or $$75$ million. These outcomes are considered to be equally likely. Axis$$s management thinks that this risk is diversifiable. The risk$-$free interest rate is $6\%.$ Furthermore, in the event of default, $20\%$ of the value of Axis$$s assets will be lost due to facing bankruptcy costs. Please ignore all other market imperfections $($for example, taxes$).$