Volume-weighted average price
financial quantity

In finance, volume-weighted average price (VWAP) is the ratio of the total value traded in a security to the total volume of transactions over a defined period, typically a single trading session. It is a measure of the average price at which the security has traded during that period, weighted by transaction size, and is used both as an execution benchmark and as a technical indicator.
Calculation
VWAP is calculated as the cumulative value traded divided by the cumulative volume traded over the chosen window:
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=
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{\displaystyle P_{\mathrm {VWAP} }={\frac {\sum _{j}P_{j}\,Q_{j}}{\sum _{j}Q_{j}}}}
where
P
j
{\displaystyle P_{j}}
is the price of trade
j
{\displaystyle j}
,
Q
j
{\displaystyle Q_{j}}
is its quantity, and the sum runs over each individual trade in the defined period. Cross trades and basket cross trades are typically excluded. The indicator is usually computed for a single trading day but can in principle be measured between any two points in time.
History
The first execution using VWAP as a benchmark is generally attributed to James Elkins, then head trader at the New York agency brokerage Abel Noser, who used it in 1984 for the Ford Motor Company pension fund. The concept was formalized academically in a 1988 Journal of Finance paper by Berkowitz, Logue, and Noser, which used VWAP as a yardstick for the total transaction cost of trading on the New York Stock Exchange.
Uses
Execution benchmark
VWAP is widely used as a passive execution benchmark by institutional investors, particularly pension funds and some mutual funds, whose orders are large enough that trading them aggressively would move the market. The goal is to execute in proportion to traded volume so that the realized average price is close to the day's VWAP, which is taken to approximate the price that would have prevailed had the order not been traded. By spreading execution across the session, VWAP-targeting strategies are intended to minimize market impact costs, the adverse price movement caused by trading activity itself.
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