1. It is March 26 and you hold a $1mm (market value) long position in the 1-yr...
Question:
1. It is March 26 and you hold a $1mm (market value) long position in the 1-yr zero-coupon bond. Using modied durations, determine how much of the 5-yr zero-coupon bond you need to short so that your portfolio remains approximately unchanged if the 1-yr and 5-yr zero rates move in parallel.
2. What would the change in your portfolio value be if both the 1-yr rate and the 5-yr rate go up by 2 basis points?
3. What would the change in your portfolio value be if both the 1-yr rate and the 5-yr rate go down by 2 basis points?
4. What would the change in your portfolio value be if the 1-yr rate goes down by 2 basis points but the 5-yr rate stays the same?
5. What actually happens the following day? Calculate the value of your portfolio. Why did your portfolio value change from before?
3/26
1 mo 0.01
6 mo 0.04
1 yr 0.13
2 yr 0.3
3 yr 0.36
5 yr 0.51
3/27
1 mo 0.01
6 mo 0.02
1 yr 0.11
2 yr 0.25
3 yr 0.3
5 yr 0.41