Bond prices are sensitive to interest rate changes, and bond duration is a measure of just how sensitive. For instance, if a increase in interest rates from 2% to 3% caused a bond’s price to fall by 8.5%, the bond would have a duration of 8.5, meaning that a 1% rise in interest rates leads to an…

As a bond provides a contractual right to a series of future payments received at specified points of time, the price for a bond is simply the present discounted value of the future cash flows. The face value of a bond will be repaid at maturity. A zero-coupon bond provides only a bond’s face value,…

This article let’s me get on my soapbox about one of my favorite topics: markets don’t need to be right to be efficient. Oftentimes, people equate market efficiency with “right” or “perfect” market prices. That’s simply not true, and in fact, it doesn’t even mean anything. The folks who are advancing these arguments are either misinformed or…

Jack Bogle has done more for investors than almost anyone. He popularized passive investing, and founded Vanguard. Everything he has done hasn’t happened by accident. When he talks about the financial services industry people should listen, and think carefully about what he says. He isn’t always right about everything, but he knows what he’s talking…

This report features world capital market performance and a timeline of events for the last quarter. It begins with a global overview, then features the returns of stock and bond asset classes in the US and international markets. The report also illustrates the performance of globally diversified portfolios and features a topic of the quarter.…

Every financial plan is wrong. They’re all shots in the dark. It’s impossible to predict the future, and there’s an almost infinite number of moving parts that will impact your financial life. Also, even if you were to make the best predictions possible, your plan is out of date the instant you finish creating it.…

In addition to other methods we’ve discussed, a third type of variable spending model uses dynamic programming methods. These methods rely on complex computing power and mathematical equations to integrate spending and asset allocation decisions more completely over the life cycle. Dynamic programming provides a road map at each point in time for optimal spending and…