Using monte carlo simulate the process dr ab

Finance

Using Monte Carlo, simulate the process dr = a(b - r)dt + σ √rdZ, assuming that r = 6%, a = 0.2, b = 0.08, φ = 0 and σ = 0.02. Compute the prices of 1-, 2-, and 3-year zero coupon bonds, and verify that your answers match those of the CoxIngersoll-Ross formula. What numerical problem can arise in this simulation? How did you address it?

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