Data: $S_0=130$;$x=143$;$1+r=1\mathrm{.}1.$ The two possibilities for $S_T$ are $160$ and $109.$

Required:

a$-1.$ The range of $S$ is $51$ while that of $C$ is $17$ across the two states. What is the hedge ratio of the call?

Note: Round your answer to $2$ decimal places.

a$-2.$ Calculate the value of a call option on the stock with an exercise price of $143.($Do not use continuous compounding to calculate the present value of $x$ in this example because we are using a two$-$state model here; the assumed $10\%$ interest rate is an effective rate per period.$)$

Note: Do not round intermediate calculations. Round your answer to $2$ decimal places.

Answer is complete but not entirely correct.

$\backslash$table$[[$a$-1.$ Hedge ratio,$0\mathrm{.}33$