Modified duration measures a bond's price sensitivity to interest rate changes, specifically estimating the percentage change in price for a 100-basis-point (1%) shift in yield. It quantifies the inverse relationship: if rates rise, bond prices fall by the modified duration percentage, and if rates fall, prices rise.
Recall that modified duration illustrates the effect of a 100-basis point (1%) change in interest rates on the price of a bond. Therefore, If interest rates increase by 1%, the price of the 5-year bond will decrease by 4.22%. If interest rates decrease by 1%, the price of the 5-year bond will increase by 4.22%.
Generally, when interest rates rise, the higher a bond's duration is, the more its price will fall. Time to maturity and a bond's coupon rate are two factors that affect a bond's duration. A fixed-income portfolio's duration is computed as the weighted average of individual bond durations held in the portfolio.
Modified duration calculates how much a bond's price will change in response to changes in interest rates. It is derived from the weighted average time until the bond's cash flows are received.
Duration assumes a linear relationship between bond prices and changes in interest rates. In actuality, however, prices fall at an increasing rate as interest rates rise; similarly, prices rise at an increasing rate as interest rates fall.
When interest rates are rising, you can purchase new bonds at higher yields. Over time the portfolio earns more income than it would have if interest rates had remained lower.
Significance in Risk Assessment: It is a valuable tool for investors in assessing interest rate risks associated with bond investments. Bonds with higher Modified Durations generally exhibit higher price volatility in response to changes in interest rates compared to those with lower durations.
Long-Term Wealth Creation: Equity mutual funds are better for long-term growth, while FDs often struggle to beat inflation over time. Need Quick Liquidity: Open-ended mutual funds provide easier access to money; FDs charge penalties for premature withdrawals.
Key Takeaways
Selling bond ETFs during price dips can lock in losses; patience might yield a recovery as interest rates fall. Bond ETFs offer diversified exposure and easy trading, but rising rates impact their prices. As interest rates rise, alternatives like money market accounts and CDs may offer better yields.
Basic compound interest
For other compounding frequencies (such as monthly, weekly, or daily), prospective depositors should refer to the formula below. Hence, if a two-year savings account containing $1,000 pays a 6% interest rate compounded daily, it will grow to $1,127.49 at the end of two years.
That's not to be confused with a bond's maturity, which is simply the date on which a bond issuer must repay the principal of a bond to the bond holder in full. Generally, the higher the duration, the more sensitive your bond investment will be to changes in interest rates.
Long-term bonds are more sensitive to interest rate changes than short-term bonds because of their longer duration. Since bond prices move inversely to interest rates, long-term bonds gain more when rates fall and lose more when they rise.
Duration refers to the price sensitivity of a bond, or a portfolio of bonds, to a change in interest rates. It is measured in years. The higher the duration, the greater the responsiveness of the bond price – or the value of a bond portfolio – to a change in interest rates.
Duration is often said to measure a bond's sensitivity to changes in interest rates, because it describes what is likely to happen to a bond's price for a given change in the bond's yield.
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Duration and modified duration look at different aspects of bond analysis. Duration, commonly known as Macaulay duration, determines the weighted average time to receive a bond's cash flow. Modified duration measures a bond's price sensitivity to changes in interest rates.
Warren Buffett views bonds as a safe haven for cash, often recommending a 90/10 portfolio (90% S&P 500 index fund, 10% short-term government bonds) for average investors, while Berkshire Hathaway itself holds large amounts of U.S. Treasury bills for capital preservation and to earn competitive yields, especially when stocks are expensive. He favors short-term Treasuries (T-bills) due to low interest rate risk and high liquidity, using them to park cash while waiting for better stock opportunities, rather than as a primary growth engine.
How investors use duration. Generally, the higher a bond's duration, the more its value will fall as interest rates rise, because when rates go up, bond values fall and vice versa.
Stocks in the financial and consumer discretionary sectors tend to respond well to high interest rates. For banks and investment brokers, profits actually increase when the cost of borrowing is high, so these stocks can be attractive.