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Recall the definition of implied volatility introduced in the problems on Section 10.7. Assume the underlying asset price is 50, A call of unspecified strike has a price of $5. The call has a Theta of 2. a Delta of 0.5 and a Gamma of 0.05. The risk-free rate is 5% Deduce the volatility implied by the Black-Scholes PDE.
A credit card is offered with monthly payments and a 21.99% APR. What is the loan's effective annual rate (EAR)?
Trigen Corp. management will invest cash flows of $659,127, $412,376, $345,706, $818,400, $1,239,644, and $1,617,848 in research and development over the next six years. If the appropriate interest rate is 9.43 percent, what is the future value of th..
Three put options on a stock have the same expiration date and strike prices of $55, $60, and $65. The market prices are $3, $5, and $8, respectively. Explain how a butterfly spread can be created. Construct a table showing the profit from the strate..
What is the price of a bond with the following features? 9 years to maturity, face value of $1000, coupon rate of 3% (annual coupons) and yield to maturity of 9.8% APR.
Suppose that a person won the Florida lottery and was offered a choice of two prizes: (1) $500,000 or (2) a coin-toss gamble in which he or she would get $1 million if a head were flipped and zero if a tail. What is the expected dollar return on the ..
Aspin Corporation's charter authorizes issuance of 2,000,000 shares of common stock. Currently 1,400,000 shares are outstanding and 100,000 shares are being held as treasury stock. The firm wishes to raise $48,000,000 for a plant expansion. What is t..
Marichal Motors is considering an investment in a proposed project. Rather than making the investment today, the company wants to wait a year to collect additional information about the project. If Marichal waits a year, it will not have to invest an..
Ricky Ripov’s Pawn Shop charges an interest rate of 16 percent per month on loans to its customers. Like all lenders, Ricky must report an APR to consumers. Requirement 1: What rate should the shop report? What is the effective annual rate?
Summers Corp. currently has an EPS of $2.40, and the benchmark PE for the company is 23. Earnings are expected to grow at 5 percent per year. What is your estimate of the current stock price? What is the largest stock price in one year?
Mr. Smith borrows $8,000 from a bank that charges interest at 6% compounded monthly. Mr. Smith has to pay the money back with six equal payments. However, the first payment is to be made immediately on receipt of the $8000. Determine the size of the ..
In 1980 Massey-Ferguson Ltd, a multinational producer of farm machinery, industrial machinery, and diesel engines, lost $225 million, or $12.79 per share. This capped a three year period during which the firm lost almost half a billion dollars. Calcu..
Matthews Manufacturing is negotiating a 1-year credit line with its bank, Worldwide Bank. The amount of the credit line is $6.5 million with an interest rate set at 2.5% above the prime rate. What effect would an increase in the prime rate to 4.75% f..
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