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a) What is the price of a $35 strike call? Assume S = $38.50, σ = 0.25, r = 0.06, the stock pays no dividend and the option expires in 45 days.
b) What is the price of a $60 strike put? Assume S = $63.75, σ = 0.20, r = 0.055, the stock pays no dividend and the option expires in 50 days?
c) What is the price of a $25 strike call? Assume S = $23.50, σ = 0.24, r = 0.055, the stock pays a 2.5% continuous dividend and the option expires in 45 days?
d) 4) What is the price of a $30 strike put? Assume S = $28.50, σ = 0.32, r = 0.04, the stock pays a 1.0% continuous dividend and the option expires in 110 days?
e) What is the delta on a $20 strike call? Assume S = $22.00, σ = 0.30, r = 0.05, the stock pays a 1.0% continuous dividend and the option expires in 80 days?
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- Question A Call(50) = 9; Call(55) = 7; Put(50) = 7; Put(55) = 5. All options are on the same stock and have the same expiration time. Which strategy(s) yields arbitrage profit? A. Buy Call(50), sell Call(55) B. Sell Call(50), buy Call(55) C. Buy Put(50), sell Put(55) D. Sell Put(50), buy Put(55) E. Both A and C F. Both A and D G. Both B and C H. Both B and D . Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line.Suppose you have just inherited $10,500 and are considering different options for investing the money to maximize your return. If you are risk-neutral (that is, neither seek out or shy away from risk), which of the following options should you choose to maximize your expected return? A. Hold the money in cash and earn zero return. B. Invest the money in a corporate bond, with a stated return of 4%, but there is a chance of 9% the company could go bankrupt. C. Put the money in an interest-bearing checking account, which earns 3%. The FDIC insures the account against bank failure. D. Loan the money to one of your friends' roommates, Mike, at an agreed upon interest rate of 7%, but you believe there is a 5% chance that Mike will leave town without repaying you.The value of Jon’s stock portfolio is given by the function v(t) = 50 + 77t + 3t2, where v is the value of the portfolio in hundreds of dollars and t is the time in months. How much money did Jon start with? (y-intercept) What is the minimum value of Jon’s portfolio? (vertex)
- b) Jay is holding some Tesla shares (NASDAQ: TSLA) and The TSLA stocks are currently trading at $985 on the Nasdaq. Given TSLA stocks are very volatile, Jaleel wishes to protect the value of his investments. He seeks your advice on using option contracts and presents a list of options for you to choose from. Assume the number of underlying shares per contract is 100 shares. Strike $975 $980 $985 $1005 (i) (ii) Call premium Moneyness $10.01 $4.45 $0.63 $0.05 Put premium Moneyness $0.01 $0.04 $0.99 $20.48 Please specify the moneyness of the above options. Are they in the money, at the money, or out of the money? Explain the type of risk that Jay is facing and which option is your suggestion to control his risk, provide your reason and explain it.(f) The price of Stock Y, which is currently $80, can go to $120, $90, or $60 in 6 months' time. Security A pays $1 if the price of Stock Y in 6 months is $120, and zero otherwise. Security B pays $1 if the price of Stock Y in 6 months is $90, and zero otherwise. Security C pays $1 if the price of Stock Y in 6 months is $60, and zero otherwise. The prices of these securities are pa, PB , and pc, respectively. The discretely compounded risk-free interest rate is 5% per half-year (not annualised). When answering the questions below, explain your calculations. i. In the absence of arbitrage, what is the total cost of purchasing one unit each of securities A, B, and C? ii. If pg = 0.2/1.05 × 0.190476, what is the value of a 6-month European call on Stock Y with an exercise price of $75?A maximizing investor with preferences u(u, o) = 0.2u – 0.50^2 will allocate a portfolio worth 4000 between a risk free asset with a return of 4 percent and the market asset with a return of 20 percent and risk of 4 percent. How many dollars should be invested in the market asset? %3D
- Suppose you visit with a financial adviser, and you are considering investing some of your wealth in one of three investment portfolios stocks, bonds, or commodities. Your financial adviser provides you with the following table, which gives the probabilities of possible returns from each investment To maximize your expected return, you should choose: Stocks Bonds Probability Return Probability Return 0.15 20% 0.15 16.7% 06 10% T 04 7.5% 0.25 8% 0.45 3.3% OA bonds OB stocks OC. commodities OD. All of the portfolios have the same expected return. If you are risk-averse and had to choose between the stock or the bond investments, you would choose OA the stock portfolio because there is less uncertainty over the outcome OB. the bond portfolio because there is less uncertainty over the outcome. OC. the stock portfolio because of greater expected return. OD. the bond portfolio because of greater expected return. Commodities Probability Return 02 20% 0.2 15% 0.2 8% 02 02 5% 0%You plan to invest $1,000 in a corporate bond fund or in a common stock fund. The following table represents the annual return (per $1,000) of each of these investments under various economic conditions and the probability that each of those economic conditions will occur. Compute the expected return for the corporate bond and for the common stock fund. Show your calculations on excel for expected returns. Compute the standard deviation for the corporate bond fund and for the common stock fund. Would you invest in the corporate bond fund or the common stock fund? Explain. If choose to invest in the common stock fund and in (c), what do you think about the possibility of losing $999 of every $1,000 invested if there is depression. Explain.Buying and selling prices for risky investments obviously are related to certain equivalents. This problem, however, shows that the prices depend on exactly what is owned in the first place. Suppose that your utility for wealth (A) can be represented by the utility function u(A) = In [(A)] You currently have R1000 in cash. A business deal of interest to you yields a reward of R100 with probability 0,5 and RO with probability 0,5. 2.1 If you own this business deal in addition to the R1000, what is the smallest amount for which you would sell the deal? 2.2 Suppose you do not own the deal. Formulate an appropriate equation and solve with algebra to find the largest amount you would be willing to pay for the deal. 2.3 Explain why the amounts in 2.1 and 2.2 are slightly different.
- Consider an economy where Capital Asset Pricing Model holds. In this economy, stocks A and B have the following characteristics: • Stock A has and expected return of 22% and a beta of 2. • Stock B has an expected return of 15% and a beta of 0.8. The standard deviation of the market portfolio’s return is 18%. (a) Assuming that stocks A and B are correctly priced according to the CAPM, compute the risk-free rate and the market risk premium.Savings is a stock variable True/FalseD7 You run an oil company that wants to extract an oil reserve. The total stock of oil in the reserve is 600 barrels. You must sell all of the oil in two time periods, so the quantity extracted will be q1 +q2 = 600. The price per barrel you can sell the oil for is pt = 710 − 1 2 qt in each period. The cost of extracting a single barrel is not constant, but increases as more oil is extracted in a period, c(qt) = 1 2 qt. If the interest rate is 5%, how much oil will you extract in periods 1 and 2 if you wanted to maximize profits.