Question: Hi I have the answer for this question which is 83.51 but I just don't know how they found that answer. A company issues a

Hi I have the answer for this question which is 83.51 but I just don't know how they found that answer.

A company issues a $1,000 perpetual bond. The current rate is 6%. Next period, the rate will change to either 4% or 10%, with equal probability. The bond is callable at the end of the first year only, for a price of $1,117.90. What is the coupon amount, if the bond sells at par.

I just need to know how the path to find the answer please. Thanks

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