Interest Rate Risk and Duration Concepts

LIBOR stands for London Interbank Offered Rate, which is a benchmark interest rate that financial institutions use to lend to one another in the London interbank market. It reflects the average rate at which major banks are willing to lend to each other for short-term loans. LIBOR is critical for setting rates on various financial products, including loans and derivatives, making it a key indicator in global finance.

After June 30, 2023, the Philippines transitioned from LIBOR to the 28-day BSP Bills as the benchmark interest rate. This change aligns with global efforts to replace LIBOR with more stable and reliable rates, as LIBOR was phased out due to concerns over its integrity and reliability. The 28-day BSP Bills, issued by the Bangko Sentral ng Pilipinas, provide a more transparent and market-driven alternative, reflecting the current economic conditions and offering a reliable basis for pricing loans and financial products in the country.

In a repo rate agreement, a financial institution sells securities to another party with an agreement to repurchase them at a later date for a higher price. The interest paid by the financial institution is effectively the difference between the selling price and the repurchase price of the securities. This difference represents the cost of borrowing funds against the securities, functioning as the interest rate for the transaction.

A normal or upward sloping yield curve indicates that longer-term debt instruments have higher yields than short-term ones, reflecting investor expectations for economic growth and inflation. This shape is prevalent because it suggests a healthy economy where investors demand more return for the increased risk associated with longer maturities. It typically occurs when the market anticipates rising interest rates as the economy expands, making it the most common yield curve shape in various economic conditions.

An inverted yield curve occurs when short-term interest rates exceed long-term rates, indicating that investors expect economic slowdown or recession. Typically, longer-term bonds offer higher yields to compensate for increased risk over time. However, when the yield curve inverts, it suggests that investors are seeking safety in long-term bonds, driving their yields down, while short-term rates remain elevated due to central bank policies or market conditions. This phenomenon often signals a lack of confidence in future economic growth, as investors anticipate lower interest rates in the future.

A bond ladder involves investing in bonds with varying maturities, which allows investors to receive regular cash flows as bonds mature at different intervals. This strategy reduces reinvestment risk, as it mitigates the impact of interest rate fluctuations on the entire portfolio. By spreading investments across multiple maturities, investors can take advantage of different interest rates and market conditions, ensuring a more stable income stream while maintaining liquidity and flexibility in their investment strategy.

Macaulay Duration calculates the weighted average time until an investor receives the bond's cash flows, where the weights are determined by the present value of each cash flow relative to the total present value of all cash flows. This approach reflects the time value of money, emphasizing that cash flows received sooner are more valuable than those received later. By using a weighted average, Macaulay Duration provides a more accurate representation of the bond's sensitivity to interest rate changes, helping investors assess interest rate risk effectively.

Modified Duration measures the sensitivity of a bond's price to changes in interest rates, expressed as a percentage. It adjusts Macaulay Duration to account for the bond's yield, providing a more accurate reflection of price volatility. Specifically, it estimates how much the price of a bond is expected to change for a 1% change in yield, making it a crucial tool for bond investors to assess interest rate risk. This makes Modified Duration particularly valuable for managing portfolios in fluctuating interest rate environments.

Bonds with higher duration indicate a longer time until cash flows are received, making them more sensitive to interest rate changes. When interest rates rise, the present value of a bond's future cash flows decreases more significantly for bonds with longer durations. Conversely, when rates fall, these bonds appreciate more in value. Thus, higher duration reflects greater price volatility in response to interest rate fluctuations, confirming that such bonds are indeed more sensitive to changes in interest rates.

Modified Duration is calculated by adjusting the Macaulay Duration for the yield of the bond. It reflects the bond's price sensitivity to interest rate changes. The formula is: Modified Duration = Macaulay Duration / (1 + (yield/n)), where 'n' is the number of compounding periods per year. Given a Macaulay Duration of 2.653 and a semi-annual yield of 0.123673, the calculation results in a Modified Duration of approximately 2.4985, indicating how much the bond's price would change with a 1% change in yield.

Using the formula %change in price = -MD × change in yield, we substitute the given values: Modified Duration (MD) is 2.4985 and the change in yield is +1% (or 0.01). Thus, %change in price = -2.4985 × 1 = -2.4985%. This indicates that if the yield increases by 1%, the price of the bond will decrease by approximately 2.4985%, reflecting the inverse relationship between bond prices and yields.

A steep yield curve indicates that long-term interest rates are significantly higher than short-term rates. This scenario often occurs following central bank rate cuts, where short-term rates are lowered to stimulate the economy. Investors expect stronger economic growth in the future, leading to higher inflation and interest rates, which is reflected in the increased long-term yields. This steepness suggests confidence in future economic performance, as it signals that investors demand a premium for locking in their money for a longer period amidst anticipated growth.

The yield curve illustrates how interest rates or yields vary with different maturities of debt securities, assuming they have the same credit quality. Typically, it shows the interest rates for bonds ranging from short-term to long-term. A normal upward-sloping curve indicates that longer-term securities generally offer higher yields to compensate for increased risk over time, while an inverted curve may signal economic uncertainty. Thus, the yield curve serves as a crucial tool for investors and economists to assess interest rate expectations and economic conditions.