Consider a self-financed convexity trade.

Three zero couple bonds:

i. 2Y zero at 1.60%; ii. 10Y zero at 1.85%; iii. 30Y zero at 2.30%

a. If you want to combine 2Y and 30Y zero to match the $100M bullet in 10Y zero for dollar duration, what is percentage weights in 2Y and 30Y respectively? (note: combined value in 2Y and 30Y is also $100M, ie weights sum up to 100%)