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another typo fix
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thorek1 committed Oct 10, 2023
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6 changes: 3 additions & 3 deletions docs/src/tutorials/rbc.md
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Expand Up @@ -33,13 +33,13 @@ Firms rent capital from households to produce goods. Their profits, ``\Pi_t``, a
Given the Cobb-Douglas production function with a stochastic technology process:

```math
q_t = \e^{z_t} k_{t-1}^{\alpha}
q_t = e^{z_t} k_{t-1}^{\alpha}
```

The FOC with respect to capital ``k_{t}`` determines the optimal amount of capital the firm should rent. It equates the marginal product of capital (how much additional output one more unit of capital would produce) to its cost (the rental rate).

```math
R_t = \alpha \e^{z_t} k_{t-1}^{\alpha-1}
R_t = \alpha e^{z_t} k_{t-1}^{\alpha-1}
```

**Market Clearing**:
Expand Down Expand Up @@ -99,7 +99,7 @@ using MacroModelling
c[0] + k[0] = (1 - δ) * k[-1] + q[0]
q[0] = exp(z[0]) * k[-1]^α
z[0] = ρᶻ * z[-1] + σᶻ * ϵᶻ[x]
end
```
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