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Consider a bond to be paid back in $5$ yearly payments plus a balloon payment.

Payments grow by $10\%$ a year. The sum of all yearly bond payments equals the size

of the balloon. The face value of the bond is $$500$M$,$ the interest rate is $5\%.$

What is the bond$$s outstanding balance at the end of year $3,$ i$.$e$.$ after year$-3$ payment is made?