In a binomial interest rate tree model, assume that the six-month rate process starts on date 0 (=0) at 5% and then increases or decreases by 100 basis points every six months. On date 0, the prices of a six-month zero (A) and a l-year zero (B) are 97.5610 and 95.0908 respectively. a) Find the risk-neutral probability of an up move on date 0 for the six-month rate process over the next 6-month. b) Find the price of the 1-year zero (B) in the down state of the binomial tree on date 1 (t-1).

Microeconomic Theory
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ISBN:9781337517942
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Chapter17: Capital And Time
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In a binomial interest rate tree model, assume that the six-month rate process starts on date 0 ((=0) at 5% and then
increases or decreases by 100 basis points every six months. On date 0. the prices of a six-month zero (A) and a 1-year
zero (B) are 97.5610 and 95.0908 respectively.
a) Find the risk-neutral probability of an up move on date 0 for the six-month rate process over the next 6-month.
b) Find the price of the 1-year zero (B) in the down state of the binomial tree on date 1 (t-1).
Transcribed Image Text:In a binomial interest rate tree model, assume that the six-month rate process starts on date 0 ((=0) at 5% and then increases or decreases by 100 basis points every six months. On date 0. the prices of a six-month zero (A) and a 1-year zero (B) are 97.5610 and 95.0908 respectively. a) Find the risk-neutral probability of an up move on date 0 for the six-month rate process over the next 6-month. b) Find the price of the 1-year zero (B) in the down state of the binomial tree on date 1 (t-1).
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