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D.W. Simpson and Company -- Actuary Salary
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You are given:
i) Ito process of short-rate: dr(t) =[0.09-0.5r(t)]dt +0.3dZ ii) Risk-neutral: dr(t) = [0.15-0.5r(t)]dt + sigma(r(t))dZ~ iii) g(t) is derivative of r(t) dg(r,t) = m(r,g,t)dt -0.4g(r,t)dZ Determine m(r,g)? SOA solution: (r+0.08)g But I think this solution isn't correct because formula (24.19) in textbook that is dr =[a(r)- (risk premium)]dt+sigma(r)dZ in stead of dr =[a(r) + (risk premium)]dt+sigma(r)dZ so Shapre ratio of short-rate is -0.2 then solution must be g(r-0.08). am I right? |
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