Mom and Pop Groceries has just dispatched a year's supply of groceries to the government of the Central Antarctic Republic. Payment of $$135,000$ will be made one year hence after the shipment arrives by snow train. Unfortunately, there is a good chance of a coup d$\text{'}$tat$,$ in which case the new government will not pay. Mom and Pop's controller therefore decides to discount the payment at $50\%,$ rather than at the company's $15\%$ cost of capital.

Is it proper to use $50\%$ as the discount rate in this situation?

How much is the $$135,000$ payment really worth if the odds of a coup d$\text{'}$tat are $25\%?$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.