Utilizing Effective Duration and Convexity for Option-embedded Bonds

Yield duration and convexity assume predictable bond cash flows. However, bonds with embedded options, e.g., callable or puttable bonds, have future cash flows which are uncertain. The option is exercised based on market interest rates relative to the coupon interest…

More Details
Duration and Convexity of a Bond Portfolio

Duration and convexity can be used to measure the interest rate risk of a portfolio of bonds, similar to a single bond. There are two methods to calculate the duration and convexity of a bond portfolio: Using the weighted average…

More Details
Bond Risk and Return Using Duration and Convexity

The percentage price change of a bond, given a specified change in yield, can be more accurately estimated using both the bond’s duration and convexity compared to using duration alone. We will give an example to illustrate this. Consider a…

More Details
Convexity and Convexity Adjustment

Duration provides a linear approximation of the change in a bond’s price with respect to changes in yield. On the other hand, convexity measures the non-linear, second-order effect of yield changes on a bond’s price. It captures the curvature of…

More Details
Properties of Duration

The sensitivity of a bond’s price to changes in interest rates can be captured using Macaulay duration, modified duration, money duration, and the price value of a basis point (PVBP). Relationships Between Bond Features and Duration Coupon rate (c)) An…

More Details
Modified Duration, Money Duration, and Price Value of a Basis Point (PVBP)

Modified Duration Modified duration captures the sensitivity of a bond’s price to fluctuations in its yield-to-maturity (YTM). This relationship provides insight into how bond prices vary with shifts in yield. Specifically, bond prices and yields exhibit an inverse relationship: as…

More Details
Trading Blocs

A trading bloc is a group of countries that have mutually agreed to reduce and progressively eliminate barriers to trade and the movement of factors of production among the members of the bloc. Regional barriers to trade, such as tariffs,…

More Details
Types of Trade Restrictions

Trade restrictions are government policies that limit the free exchange of goods and services between domestic entities and foreign countries. They include tariffs, import quotas, voluntary export restraints (VER), subsidies, embargoes, domestic content provisions, and capital restrictions. Different trade restrictions…

More Details
Costs and Benefits of International Trade

The costs and benefits of trade elicit much interest in most countries. However, most economists agree that the advantages of international trade probably outdo its disadvantages. Below are the main benefits and costs associated with international trade. Benefits of International…

More Details
Impact of Geopolitical Risk on Investment

Notably, economic expansion, interest rates, and market volatility are all impacted by geopolitical risk in the capital markets. Geopolitical risk can dictate the suitability of a security or investment strategy for an investor’s objectives, level of risk tolerance, and time…

More Details