A large bank decides to lend $500 million to a South American country and wants to earn interest at 9.50% convertible semiannually. The country agrees to pay back the loan with three equal annual payments. The first payment is due one year from when the loan is received, a second payment is due two years after the loan is received, and a third payment is due three years after the loan is received. In any given year, there is a 15% chance that the country will not repay any money. There is also a 30% chance in any given year that half of the payment is made, and a 55% chance in any given year that the full payment is made by the country. You can assume that if a payment is not made at the end of any year, no payments will be made in any subsequent years. But if the country makes either a full or half-payment at the end of any year, it is possible that they either make no payment, a half-payment or a full payment in the following year. To account for these possible events, what amount should the company require that the country pays back each year? Provide your answer in million dollars, rounded to three decimal places (e.g., $124,672,981 would be provided as $124.673 m

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