Two Kinds of Underlying Assets · Investment assets: held for investment purposes by a significant numbers of investors. Examples: stocks, bonds, gold. Three different situations: 1. The asset provides no income 2. The asset provides a known dollar income 3. The asset provides a known dividend yield Consumption assets: held primarily for consumption. Examples: commodities such as copper, oil and live hogs
The stock Price Assumption Consider a stock whose price is s In a short period of time of length At the change in then stock price S is assumed to be normal with mean Sdt and standard deviation os√△, that is, S follows geometric Brownian motion ds=u Sdt+oSdz Then dInS=( )dt+oda