Q: Suppose call and put prices are given by /
Suppose call and put prices are given by What no-arbitrage property is violated? What spread position would you use to effect arbitrage? Demonstrate that the spread position is an arbitrage.
See AnswerQ: Repeat the option price calculation in the previous question for stock prices
Repeat the option price calculation in the previous question for stock prices of $80, $90, $110, $120, and $130, keeping everything else fixed. What happens to the initial put ∆ as the stock price inc...
See AnswerQ: Repeat the previous problem, except that for each strike price,
Repeat the previous problem, except that for each strike price, compute the expected return on the option for times to expiration of 3 months, 6 months, 1 year, and 2 years. What effect does time to m...
See AnswerQ: Assume K = $40, σ = 30%, r =
Assume K = $40, σ = 30%, r = 0.08, T = 0.5, and the stock is to pay a single dividend of $2 tomorrow, with no dividends thereafter. a. Suppose S = $50. What is the price of a European call option? Con...
See AnswerQ: Let S = $40, K = $45, σ
Let S = $40, K = $45, σ = 0.30, r = 0.08, and δ = 0. Compute the value of knockout calls with a barrier of $60 and times to expiration of 1 month, 2 months, and so on, up to 1 year. As you increase ti...
See AnswerQ: Now suppose the firm finances the project by issuing debt that has
Now suppose the firm finances the project by issuing debt that has higher priority than existing debt. How much must a $10 or $25 project be worth if the shareholders are willing to fund it?
See AnswerQ: To answer this question, use the assumptions of Example 17.
To answer this question, use the assumptions of Example 17.1 and the risk-neutral valuation method (and risk-neutral probability) described in Example 17.2. a. Compute the value of a claim that pays t...
See AnswerQ: Assuming a $10m investment that is 40% stock A and
Assuming a $10m investment that is 40% stock A and 60% stock B, compute the 95% and 99% VaR for the position over 1-day, 10-day, and 20-day horizons.
See AnswerQ: What is E(St|St > $105) for
What is E(St|St > $105) for t = 1? How does this expectation change when you change t, σ, and r?
See AnswerQ: Suppose that on any given day the annualized continuously compounded stock return
Suppose that on any given day the annualized continuously compounded stock return has a volatility of either 15%, with a probability of 80%, or 30%, with a probability of 20%. This is a mixture of nor...
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