Lecture 10 - Bond Portfolio Management I Flashcards

1
Q

How are bond prices and yields are related?

A

Inversely/negatively.

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2
Q

An increase in a bond’s YTM results in a…

A

Smaller price change than a decrease in yield of equal magnitude (refers to convexity).

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3
Q

Prices of long-term bonds tend to be…

A

More sensitive to interest rate changes than prices of short-term bonds (refers to maturity).

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4
Q

How is interest rate risk and the bond’s coupon rate related?

A

Inversely/negatively.

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5
Q

The sensitivity of a bond’s price to a change is inversely related to…

A

The YTM at which the bond is currently selling

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6
Q

What is duration?

A

It is a measure of the average maturity of a bond’s promised cash flows.

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7
Q

Duration is a measurement of…

A

The interest rate risk/sensitivity and the effective maturity if bond is considered as a portfolio of promised cash flows.

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8
Q

Macaulay’s duration equals the…

A

Weighted average of the times to each coupon or principal payment.

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9
Q

Weight applied to each payment time is proportion to…

A

Total value of bond accounted for by that payment.

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10
Q

For a zero coupon bond, duration equals…

A

Maturity.

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11
Q

What kind of impact does coupon rate have on duration?

A

Negative.

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12
Q

Generally, duration and maturity are…

A

Positively related.

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13
Q

For highly discounted bonds, duration might be…

A

Negatively related to maturity.

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14
Q

For par bonds and premium bonds, duration and maturity are…

A

Positively related.

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15
Q

What kind of impact does YTM have on duration?

A

Negative. A lower YTM bond has a greater duration.

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16
Q

What are the duration rules?

A

Rule 1 - The duration of a zero-coupon bond equals its time to maturity.
Rule 2 - Holding maturity constant, a bond’s duration is lower when the coupon rate is higher.
Rule 3 - Holding the coupon rate constant, a bond’s duration generally increases with its time to maturity.
Rule 4 - Holding other factors constant, the duration of a coupon bond is higher when the bond’s YTM is lower.
Rule 5 - The duration of a level perpetuity is equal to: 𝐷=(1+𝑦)/𝑦

17
Q

Convexity is measured as the…

A

Rate of change of the slope of the price-yield curve, expressed as a fraction of the bond price.

18
Q

Bonds with higher convexity…

A

Exhibit higher curvature in the price-yield relationship.

19
Q

Bonds with greater curvature gain more in price when…

A

Yields fall than they lose when yields rise.

20
Q

The more volatile interest rates…

A

The more attractive this asymmetry.

21
Q

Investors must pay higher prices and accept lower yields to maturity on bonds with…

A

Greater convexity.