Question: You have a short rate term structure model: r(t) = r(t-1) + m(t)*dt + v(t)*x(t), where x is a Wiener process (standard Brownian motion). The
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You have a short rate term structure model:
r(t) = r(t-1) + m(t)*dt + v(t)*x(t), where x is a Wiener process (standard Brownian motion).
The first drift term is m(0)=-0.03% and the volatility is v(0)=0.13%. We are using one year time step. The random draw from standard normal distribution was x=-2.5621. The initial one year short rate r(0)=0.27%. What is the next short rate r(1) when using the Monte Carlo simulation with a simple discretization we used in lectures?
Your answer must be in percentages, rounded to the basis point, e.g. 1.67432% must be entered as 1.67
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