this is for holding javascript data
Investment Math edited Calculations_The_value_function_is__.md
almost 8 years ago
Commit id: dc022b6bc15efd6265461abede66b24c711ba377
deletions | additions
diff --git a/Calculations_The_value_function_is__.md b/Calculations_The_value_function_is__.md
index 9bc47d3..fca4522 100644
--- a/Calculations_The_value_function_is__.md
+++ b/Calculations_The_value_function_is__.md
...
The value function is easily obtained by solving:
\[\frac{dV}{V}=\pi(p)\frac{dp}{p}.\]
This leads to:
\[V(p)=p^{-\pi}\exp(2\pi (p-1)),\,
1/2 \lt p \lt 1,\]
\[V(p)=p^{\pi},\, p \geq 1.\]
The trading function is obtained by differentiation as usual:
\[n(p)=\pi (-1+2p)p^{-\pi-1}\exp(2\pi(p-1)),\, p \lt 1,\]