The term structure of interest rates is flat at 8%. You want to immunize a one-time liability of $5,000 in 10 years. To do so, you may invest in a combination of the following two assets: A perpetuity with annual payment of $100 A 5-year zero coupon bond with face value of $1,000 Please use the information above for Q24(a) and Q24(b). Please round your answer to 4 decimal places (e.g., if your answer is 0.12341, you can either report it as 0.1234 or 12.34%)

c.How many perpetuity and zero-coupon bonds would you buy/sell today?

d.How would your portfolio weights change after one year if the (flat) term structure of interest rates parallelly shifts from 8% to 10%? (