The Treasury

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Procedure for solving the model

To generate the stochastic projections of net worth we follow these steps:

1. Set initial values:

2. Set expected return (μ), standard deviation (σ) and correlation parameters (ρ):

3. Generate a matrix of random numbers for i = 1, 2, ..., N and t = 1, 2, ..., T from the standard normal distribution and with the correlation structure .

4. Compute values of the asset and liability classes for each t = 1, 2, ..., T by solving the model iteratively. The formulas of these values are:

5. Compute net worth for each t = 1, 2, ..., T using the values derived in the fourth step:

6. We use Monte Carlo simulation and thus repeatedly simulate steps 3 to 5 to construct a frequency distribution of net worth.

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