Shipping
Retailers and shippers commonly quote shipping times in business days. As an example, Priority Mail by the USPS promises delivery in one to three business days. In practice, that means your package could be en route for as long as six calendar days.
Contracts
Contracts may reference calendar days, business days, or both. Florida real estate contracts, for example, specify time frames in calendar days. However, if the time frame ends on a weekend or national holiday, the deadline typically extends to the next business day.
As another example, a business asset purchase agreement might specify a delivery deadline or asset inspection period in business days. If you're a party to a contract, it's critical to interpret those deadlines correctly.
Stock trades
Stocks trade and settle on business days. If you decide on the Saturday before Memorial Day that you need to own Apple, guess what? You can't get it done immediately. You could place the order with your brokerage on Saturday, of course. You'd specify that you want it executed "on the open" or within a certain time frame. Still, the trade won't happen until at least Tuesday.
Once your order is processed, you'll wait two business days for the stock to transfer into your account.
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