
Explanation:
The effective duration of a bond portfolio is a measure of its sensitivity to changes in interest rates. It is typically expressed as the percentage change in price for a 100 basis point (100 bp) change in interest rates. The calculation provided in the file content shows how to determine the effective duration using the given information:
The formula for effective duration (D) is applied as follows:
Where:
Using the increase in value:
This calculation shows that for every 100 basis point decrease in interest rates, the portfolio's value would increase by approximately 11%. The effective duration is thus closest to 11.0, which corresponds to option B. The other options (A, C, and D) are incorrect due to misapplications of the formula, such as using the wrong values or not applying the correct multiplier in the denominator.
Ultimate access to all questions.
No comments yet.
A portfolio manager utilizes a valuation model to assess the worth of a bond portfolio currently valued at USD 125.00 million, assuming a flat term structure of interest rates. According to the model, if all interest rates decrease by 20 basis points (0.20%), the portfolio's value is expected to increase to USD 127.70 million. Conversely, if all interest rates increase by 20 basis points, the portfolio's value is projected to decrease to USD 122.20 million. Given these projections, determine which of the following options is closest to the effective duration of the bond portfolio.
A
5.5
B
11.0
C
22.0
D
44.0