Calculate the price of the callable bond

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GoGoMUCity Inc. plans to issue a perpetual callable bond that pays 10.29% annual coupons. The current interest rate is 8.1%. Two years later, there is 17% probability that the interest rate will be 4.7%, 44% probability that the interest rate will be 9.2% and 39% probability that the interest rate will be 14%. The bond is callable at par value of 1,000 plus 3 additional coupon payments and it will be called if the bond price is greater than the call price.

-Calculate the price of the callable bond.
-What is the value of the call option?
-What is the minimum coupon rate that the bond will be certainly called in two years?

Reference no: EM133003727

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