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There Are Two Ratings in a Very Simple World: Non-Default Q=[0.900.1001]Q = \left[ \begin{array} { c c } 0.90 & 0.10 \\0 & 1\end{array} \right]

question 21

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There are two ratings in a very simple world: non-default (ND) and defaultd. The risk-neutral rating transition matrix per year is given by: Q=[0.900.1001]Q = \left[ \begin{array} { c c } 0.90 & 0.10 \\0 & 1\end{array} \right] i.e., the probability of defaulting when the current state is non-default is 0.10, and a defaulted bond never leaves that state and has zero recovery. The three-year zero-coupon risk-free rate is 4% (continuously-compounded) . The price of a default-risk-bearing three-year unit face value zero-coupon bond is:


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