Underlying follows lognormal distribution and is current at $100.

You put on a broken-wing butterfly (BWBF) position with the following three legs:

i. Long 1x 50 delta put where IV is 20 %;

ii. Short 2x 30 delta put where IV is 25 %;

iii. Long 1x 10 delta put where IV is 30 %;

There are three months b/f expiration. Riskfree rate is zero.

a. What are the strikes of the three puts you will be using?

b.What are the gammas for each leg of the BWBF spread as well as for the combination?

c.What are the vega values for each leg as well as the overall vega?