Ques30:

A portfolio of annual coupon bonds is valued at $100. The modified duration of the bond portfolio, i.e., duration/(1+yield), is 15 years. Based on the past 2-year daily data, a risk management team estimates the following statistics for the daily yield changes: the distribution of the daily yield changes is normally distributed with a mean = -0.2% and standard deviation = 0.1%.

Suppose BFM bank holds a LONG position in the portfolio and assume the daily yield changes follow a normal distribution. What is the DEAR under 5-percent most adverse market movement scenario?

(Please only provide the magnitude of DEAR, i.e. without a minus sign and round your answer to two decimal places)

Answer: