You want to immunize your liabilities. Using your $40m in assets, you can invest in 4-year and 12-year zero coupon bonds that pay $100 at maturity. How much do you invest into the 4- and 12-year bond, respectively?

a) x^12y = 300,000, x^4y = 150,284

b) x^12y = 296, 855, x^4y = 161,023

c) x^12y = 264,270, x^4y = 150,597

d) x^12y = 216,180, x^4y = 114,340

e) x^12y = -216,180, x^4y = -114,340

f) x^12y = -264,270, x^4y = -150,597

g) x^12y = -296, 855, x^4y = -161,023

h) x^12y = -300,000, x^4y = -150,284