put option premiums for three$-$month European of varieus exercise prices: Exerclse Price $45505558$ Call Premium

$10\mathrm{.}32$

$8\mathrm{.}44$

$6\mathrm{.}52$

Put Premlum

$2\mathrm{.}18$

$4\mathrm{.}08$

$7\mathrm{.}08$

$8\mathrm{.}09$

Please answer the following questions showing all the calculations.

a$.$ What is the maximum profit of a bull spread using $\frac{50}{55}$ call strike prices $(6$ polnt

b$.$ What is the trading range over which the strip using. $55$ is profitable

C$.$ The profit or loss on a butterfly using puts if price at maturity Is at expiration $53$$$.$

d$.$ A trader interested speculating on volatility in the stock price is considering two investment strategies. The first is a $55-$strike straddle. The second is a strangle using $45/58.$ Determine which strategy is better $($gives more profit or less loss$)$ if the stock price at maturity is $60$ $$?)$

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