Consider a Bond Selling at Par with Modified Duration of 12

question 72

Multiple Choice

Consider a bond selling at par with modified duration of 12 years and convexity of 265. A 1% decrease in yield would cause the price to increase by 12%, according to the duration rule. What would be the percentage price change according to the duration-with-convexity rule?

• A) 21.2%
• B) 25.4%
• C) 17.0%
• D) 13.3%

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Definitions:

Unilateral Contract

A contract in which only one party makes a promise or undertakes a performance, while the other side only has to perform if they choose to.

Forbearance

An agreement between a debtor and lender to temporarily postpone repayment of a loan, often to avoid default.

Illusory Promise

signifies a statement that appears to be a promise but does not actually bind the party making it to a particular action or outcome, thus lacking the substance necessary for a valid contract.

Real Obligation

A legal obligation that is tied to a specific property, requiring the fulfillment of some duty relative to that property.