For the following statements: (I) The average lifetime of a debt security's stream of payments is...

For the following statements: (I) The average lifetime of a debt security's stream of payments is called duration. (II) The duration of a portfolio is the weighted average of the durations of the individual securities, with the weights reflecting the proportion of the portfolio invested in each. (III) Duration measures the expected percentage change in bond price in relation to interest rates.

Group of answer choices

(I) is true, (II) false.

(I) is false, (II) true.

(I) is true, (II) true, (III) true.

(I) is true, (II) true, (III) false.

All are false.

Solutions

Expert Solution

Answer: (I) is true, (II) true, (III) false.

(I) The average lifetime of a debt security's stream of payments is called duration.

Duration = (Present value of a Future cash flows * Year of receipt )/ divided by the bond's current market value.

(II) The duration of a portfolio is the weighted average of the durations of the individual securities, with the weights reflecting the proportion of the portfolio invested in each.

In Order to Immunise the Portfolio against Interest Rate Risk, The Investment should be done in such a way that the Weighted Average Duration of the Portfolio should equal to Duration of the Payments.

The duration of a portfolio is the weighted average of the durations of the individual securities, with the weights reflecting the proportion of the portfolio invested in each.

(III) Duration measures the expected percentage change in bond price in relation to interest rates.

Modified duration is the name given to the price sensitivity and is the percentage change in price for one percent change in interest rates.

Mofified Duration = Duration / (1+YTM)

jeff jeffy answered 2 years ago

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