2016-FRR Exam Dumps : Financial Risk and Regulation (FRR) Series

Chooser options give the holder the flexibility to decide whether the option will be a call or a put at a specific future date. This feature makes chooser options valuable in uncertain marketconditions, as the holder can choose the type of option that will be more beneficial depending on the market scenario at the decision point.

Asian options are a type of option where the payoff depends on the average price of the underlying asset over a certain period.

This characteristic makes them suitable for consumers who want to hedge against price fluctuations over a period rather than at a single point in time.

For a natural gas consumer concerned with the average price over the course of a month, Asian options provide the necessary hedging mechanism.

Calculate the weighted average of modified durations:

The modified duration of the portfolio is a weighted average of the durations of the individual bonds, where the weights are the proportions of the total portfolio value.

Calculate the total value of the portfolio: $200 MM (3-year floater) + $120 MM (5-year floater) + $50 MM (10-year fixed) = $370 MM.

Calculate the weights for each bond:

3-year floater: $200 MM / $370 MM = 0.5405

5-year floater: $120 MM / $370 MM = 0.3243

10-year fixed: $50 MM / $370 MM = 0.1351

Multiply each bond's weight by its modified duration and sum the results:

(0.5405 * 0.25) + (0.3243 * 0.25) + (0.1351 * 8) = 0.1351 + 0.0811 + 1.081 = 1.297

Therefore, the weighted average modified duration is approximately 1.30.

ReferencesCalculation based on standard formula and weights derived from the table.