Bond Duration and Convexity Concepts

The video tutorial explains bond duration and convexity, focusing on how these concepts affect bond prices as market interest rates change. It covers the calculation of Macaulay duration using Excel, highlighting the factors influencing duration, such as time to maturity and coupon rate. The tutorial also discusses the assumption of a linear relationship between bond price and interest rates, introducing convexity as a more accurate measure. The video concludes with a demonstration of calculating approximate convexity to better estimate bond price changes.

What do bond duration and convexity help us understand?

• The effect of government policies on bond prices

• The relationship between bond prices and stock market trends

• How bond prices change with interest rate fluctuations

• The impact of inflation on bond prices

What does bond duration measure?

• The bond's maturity date

• The bond's coupon rate

• The sensitivity of a bond's price to interest rate changes

• The bond's credit rating

If a bond's duration is 3, what happens to its price if interest rates increase by 1%?

• The bond price decreases by 1%

• The bond price remains unchanged

• The bond price decreases by 3%

• The bond price increases by 3%

How does the time to maturity affect bond duration?

• Longer time to maturity decreases duration

• Shorter time to maturity increases duration

• Time to maturity has no effect on duration

• Longer time to maturity increases duration

What is the effect of a higher coupon rate on bond duration?

• Higher coupon rate increases duration

• Higher coupon rate decreases duration

• Higher coupon rate doubles the duration

• Coupon rate has no effect on duration

What is the duration of a zero-coupon bond?

• Half of its time to maturity

• Equal to its time to maturity

• Double its time to maturity

• Zero

How is Macaulay duration calculated?

• As the sum of all future cash flows

• As the average of the bond's coupon payments

• As the weighted average of the present values of cash flows

• As the difference between the bond's price and its face value

What assumption does bond duration make about the relationship between yield to maturity and bond price change?

• It assumes a quadratic relationship

• It assumes no relationship

• It assumes a logarithmic relationship

• It assumes a linear relationship

What does bond convexity account for that duration does not?

• The bond's liquidity

• The bond's credit risk

• The curved relationship between bond price and interest rates

• The bond's maturity date

How is approximate convexity calculated?

• By measuring the change in bond value with interest rate changes

• By adding the bond's duration to its coupon rate

• By subtracting the bond's face value from its market price

• By dividing the bond's yield by its duration