3. Suppose the current stock price is $50 and you believe that, one year from now, the stock will sell for either $60 (up-state) or $30 (down-state). The yield on a 1-year risk-free zero coupon bond is currently 4%. What would be the call option delta (Δ) with an exercise price of $40? (SHOW YOUR WORK)

You are pricing options with the following characteristics: •Current stock price (St): $35.60 •Exercise price (X): $50 •Time to expiration (T-t): 9 months •Risk-free rate (rf): 3.25% •Volatility (0): 45% (a): What is the Black-Scholes value of call option? In your hand-written solution, provide the calculations of d1,d2, and the final call price. Use Excel or another spreadsheet program to compute the values of N(d1) and N(d2). See the notes for details. (b): Using put-call parity, what is the value of a put option? For this case, assume continuous compounding, which implies that PVt(X)=e-r(T-t).X.

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A firm wishes to bid on a contract that is expected to yield the following after-tax net cash flows at the end of each year: Year Net Cash Flow 1   $3,000   2   10,000   3   9,000   4   8,000   5   4,000   6   6,000   7   4,000   8   -$1,500   To secure the contract, the firm must spend $50,000 to retool its plant. This retooling will have no salvage value at the end of the 8 years. Comparable investment alternatives are available to the firm that earn 11 percent compounded annually. The depreciation tax benefit from the retooling is reflected in the net cash flows in the table. Use Table II to answer the questions. Compute the project's net present value. Round your answer to the nearest dollar. NPV: $   Should the project be adopted? The project  be adopted. What is the meaning of the computed net present value figure? Round your answer to the nearest dollar. The value of the firm, and therefore the shareholders’ wealth, is  by $   as a result of…

Assume the one period binomial model with initial share price £400, up and down factors u = 1.25, d = 0.9 and interest compounded at nominal rate (per time period) of 5%. Consider an option with payoff (S(0) + S(1))/2. The replicating portfolio for this option at time 0 will have shares and pounds in a bank. State your answers to three significant figures.

The market price of a security is $50. Its expected rate of return is 10%. The risk-free rate is 5%, and the market risk premium is 8%. What will the market price of the security be if its beta doubles (and all other variables remain unchanged)? Assume the stock is expected to pay a constant dividend in perpetuity. (Round your answer to 2 decimal places.)

Consider a stock worth K12.50 that can go up or down by 15% per period. Assume aperiod process of one. The risk-free rate is 10%. Find the value of the call optiontoday, with the strike price of K11.50.

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