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Consider an American call option when the stock price is $18, the exercise price is $20, the time to maturity is 6 months, the volatility is 30% per annum, and the risk-free interest rate is 10% per annum. Two equal dividends are expected during the life of the option with ex-dividend dates at the end of 2 months and 5 months.
Assume the dividends are 40 cents. Use Black's approximation and the DerivaGem software to value the option. How high can the dividends be without the American option being worth more than the corresponding European option?
What is the implied interest rate on a Treasury bond ($100,000) futures contract that settled at 100'16? If interest increased by 1%, what would be the contract's new value?
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If you also add another $5,000 to the account one year (12 months) from now and another $7,500 to the account two years from now, how much will be in the account three years (12 quarters) from now?
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what to the nearest cent is the lower bound for the price of a two-year european call option on a stock when the stock
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