Rework Example 4.1.3 using risk-neutral valuation.

Data from Example 4.1.3

For a one-year straddle on a nondividend-paying stock, you are given:

(i) The straddle can only be exercised at the end of one year.

(ii) The payoff of the straddle is the absolute value of the difference between the strike price and the stock price at expiration date.

(iii) The stock currently sells for $60.

(iv) The continuously compounded risk-free interest rate is 8%.

(v) In one year, the stock will either sell for $70 or $45.

(vi) The option has a strike price of $50.00.

Calculate the current price of the straddle.

(A) $0.90

(B) $4.80

(C) $9.30

(D) $14.80

(E) $15.70