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A minor typo fix (#259)
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lectures/markov_asset.md

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@@ -289,12 +289,12 @@ where
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1. $\{X_t\}$ is a finite Markov chain with state space $S$ and
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transition probabilities
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$$
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P(x, y) := \mathbb P \{ X_{t+1} = y \,|\, X_t = x \}
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\qquad (x, y \in S)
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$$
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1. $g$ is a given function on $S$ taking nonnegative values
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You can think of
@@ -455,7 +455,7 @@ Lucas considered an abstract pure exchange economy with these features:
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* a single *tree* that each period yields *fruit* that equals the total amount of consumption available to the economy
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* a competitive market in *shares* in the tree that entitles their owners to corresponding shares of the *dividend* stream, i.e., the *fruit* stream, yielded by the tree
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* a representative consumer who in a competitive equilibrium
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* a representative consumer who in a competitive equilibrium
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* consumes the economy's entire endowment each period
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* owns 100 percent of the shares in the tree
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v = tree_price(ap)
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ax.plot(states, v, lw=2, alpha=0.6, label=rf"$\gamma = {γ}$")
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ax.set_title('Price-divdend ratio as a function of the state')
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ax.set_title('Price-dividend ratio as a function of the state')
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ax.set_ylabel("price-dividend ratio")
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ax.set_xlabel("state")
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ax.legend(loc='upper right')
@@ -964,7 +964,7 @@ Do the same for
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```{exercise}
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:label: ma_ex3
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Let's consider finite horizon call options, which are more common than
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Let's consider finite horizon call options, which are more common than
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infinite horizon ones.
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Finite horizon options obey functional equations closely related to {eq}`FEoption0`.
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Not surprisingly, options with larger $k$ are worth more.
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This is because an owner has a longer horizon over which
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This is because an owner has a longer horizon over which
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the option can be exercised.
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```{solution-end}
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```
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```

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