footnote*Vanguard average mutual fund expense ratio: 0.10%. Industry average mutual fund expense ratio: 0.63%. All averages are asset-weighted. Industry averages exclude Vanguard. Sources: Vanguard and Morningstar, Inc., as of December 31, 2019.
- Use this credit card minimum payment calculator to determine how long it will take to pay off credit cards if only the minimum payment is made. Enter the credit card information below and press.
- A minimum cost circulation is a circulation of the smallest possible cost. Note that there is no restriction on the flow through the network. For example, if all costs are positive, the minimum 16-1. Lecture 16: 16-2 circulation has no flow on all edges. On the other hand, if there are negative cost.
footnote**Commission-free trading of Vanguard ETFs applies to trades placed both online and by phone. Commission-free trading of non-Vanguard ETFs excludes leveraged and inverse ETFs and applies only to trades placed online; most clients will pay a commission to buy or sell non-Vanguard ETFs by phone. Commission-free trading of non-Vanguard ETFs also excludes 401(k) participants using the Self-Directed Brokerage Option; see your plan's current commission schedule. Vanguard Brokerage reserves the right to change the non-Vanguard ETFs included in these offers at any time. All ETFs are subject to management fees and expenses; refer to each ETF's prospectus for more information. Account service fees may also apply. All ETF sales are subject to a securities transaction fee. See the Vanguard Brokerage Services commission and fee schedules for limits.
footnote***Some funds have higher minimums to protect the funds from short-term trading activity. Fund-specific details are provided in each fund profile.
Positioni + 2 or positioni - 2 with cost = 0. Positioni + 1 or positioni - 1 with cost = 1. Return the minimum cost needed to move all the chips to the same position. Example 1: Input: position = 1,2,3 Output: 1 Explanation: First step: Move the chip at position 3 to position 1 with cost = 0. Second step: Move the chip at position 2.
You must buy and sell Vanguard ETF Shares through Vanguard Brokerage Services (we offer them commission-free) or through another broker (which may charge commissions). Vanguard ETF Shares aren't redeemable directly with the issuing fund other than in very large aggregations worth millions of dollars. ETFs are subject to market volatility. When buying or selling an ETF, you'll pay or receive the current market price, which may be more or less than net asset value.
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Investments in Target Retirement Funds are subject to the risks of their underlying funds. The year in the fund name refers to the approximate year (the 'target date') when an investor in the fund would retire and leave the workforce. The fund will gradually shift its emphasis from more aggressive investments to more conservative ones based on its target date. An investment in a Target Retirement Fund is not guaranteed at any time, including on or after the target date.
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All investing is subject to risk, including the possible loss of the money you invest.