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Consider a bond selling at par with modified duration of 10.6 years and convexity of 210. A 2% decrease in yield would cause the price to increase by 21.2% according to the duration rule. What would be the percentage price change according to the duration-with-convexity rule? Group of answer choices 25.4%

Respuesta :

Based on the calculation done below, the percentage price change according to the duration-with-convexity rule is 25.4%.

Calculation of Percentage Price Change According to the Duration-With-Convexity Rule

The percentage price change according to the duration-with-convexity rule can be calculated using the following formula:

∆P/P = (-D*∆y) + (1/2) * (Convexity * (∆y)^2) …………………. (1)

∆P/P = Percentage change in price = ?

D = Modified duration = 10.6

∆y = Change or decrease in yield = -2%, or -0.02

Convexity = 210

Substitute the values into equation (1), we have:

∆P/P = (-10.6*-0.02) + (1/2) * (210 * (0.02)^2)

∆P/P = 0.212 + 0.042

∆P/P = 0.254, or 25.4%

Therefore, the percentage price change according to the duration-with-convexity rule is 25.4%.

Learn more about duration-with-convexity rule here: https://brainly.com/question/15991969.