Relationship between bond prices and interest rates | Finance & Capital Markets | Khan Academy

Step-by-Step Tutorial: Understanding the Relationship Between Bond Prices and Interest Rates

Introduction:

1. In this tutorial, we will explain the relationship between bond prices and interest rates in a simplified manner based on the concepts discussed in the video "Relationship between bond prices and interest rates" by Khan Academy.

Understanding Bond Basics:

1. Bonds are financial instruments issued by entities like companies, municipalities, or governments to raise capital.
2. Bonds pay periodic interest payments known as coupons to bondholders.
3. The price of a bond is influenced by changes in interest rates in the market.

Bond Scenario with a 10% Coupon:

1. Consider a bond from Company A with a 10% coupon paid semi-annually.
2. Draw a timeline representing the bond's maturity in two years with semi-annual coupon payments.
3. Initially, if the bond is issued at $1,000 with a 10% coupon rate, the price is equal to the face value.

Impact of Rising Interest Rates:

1. If interest rates increase to 15%, the bond's value decreases.
2. Calculate the new price of the bond using the formula $1,000 divided by (1 + 15%)^2.
3. The new price is $756, indicating a decrease in bond value due to higher interest rates.

Impact of Falling Interest Rates:

1. If interest rates decrease to 5%, the bond's value increases.
2. Calculate the new price of the bond using the formula $1,000 divided by (1 + 5%)^2.
3. The new price is $907, showing an increase in bond value due to lower interest rates.

Understanding Zero-Coupon Bonds:

1. Zero-coupon bonds do not pay periodic interest but return the face value at maturity.
2. Calculate the price of a zero-coupon bond by discounting the face value at the expected interest rate.
3. For a 10% return, the price would be $826, and for a 15% return, it would be $756.

Conclusion:

1. Bond prices move inversely to interest rates; when rates rise, bond prices fall, and vice versa.
2. The relationship between bond prices and interest rates is crucial for investors to assess bond values in different market conditions.

Summary:

1. Bonds' prices and interest rates have an inverse relationship.
2. Higher interest rates lead to lower bond prices, while lower rates result in higher bond prices.
3. Understanding this relationship helps investors make informed decisions in bond investing.

By following these steps, you can grasp the fundamental concepts of how bond prices are influenced by changes in interest rates.