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Given the following information: Current Interest Rate is 5% There are 3 different scenarios: Interest Rate can stay the same at 5% with probability 1/3

Given the following information:

Current Interest Rate is 5%

There are 3 different scenarios:

Interest Rate can stay the same at 5% with probability 1/3

or increase to 6% with probability 1/3

or decrease to 4% with probability 1/3

Bond's information:

Maturity is 8 years

Coupon is 5%, paid annually

Par value is $1,000

Call Price is $1,050

What is the price of the callable bond?

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