Definition 1
The largest amount any buyer is currently willing to pay for a bond. This amount might be at a premium (above face value) or a discount (below face value).
Definition 2
The present worth of a portfolio of securities, at latest market prices.
Definition 3
For a company, the number of shares outstanding multiplied by the current stock price.
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'current market value' appears in the definitions of these other terms on BusinessDictionary.com: accounting concepts, appraisal, economic book value, equity capital, capital reserve, and 
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