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Question 15 1 pts The spot exchange rate is $0.19 per Brazilian real in American terms. Assume interest rates are continuously compounded. A US dollar invested in Treasury bonds grows to $1.017 after 90 days. A real invested in risk-free Brazilian government Treasury securities grows to 1.019 reals at the end of the same time period. A broker offers to trade a ninety-day forward contract to buy or sell 1 million reals at the exchange rate of $0.19 per real. The arbitrage profit in US dollar that you can make today by trading one forward and other securities is equal to [round to a dollar amount, i.e. 7523 for an arbitrage profit of 7523.42] < Previous
Question 14 1 pts A binary (or digital or cash-or-nothing) call option pays $100 if the stock price exceeds the strike Kon date T, and nothing otherwise. Consider a one-period binomial model with U = 1.16, D =1/0. The interest rate r satisfies e"XT - 1.06, and suppose K is equal to the current stock price. What is the no arbitrage price of the digital call option at time zero? (round to two decimal places) Next
Question 12 1 pts The next question is based on the following data for a one-period binomial model. The stock's price is $141. After three months, it either goes up by the factor U = 1.24 or it goes down by the factor D = 0.79. Options mature after T = 0.25 years • The continuously compounded risk-free interest rate ris 4 percent per year. Given the above data, consider the log-contract which pays In(S(T)) at maturity, where S(T) is the stock price at maturity and log is the natural logarithm, that is: Payoff = ln(S(T)). What is the price of this contract in a one-step binomial tree? (round to two decimal places)
Question 11 1 pts Today is January 1. The forward price for contracts maturing on April 1 is $107.0 and on October 1 is $111.7. On April 1, the price of a zero-coupon bond maturing on October 1 is $0.970. Assuming that the underlying interest rate is a continuously compounded interest rate and will not change, the amount of profit that you can make on October 1 by trading one contract each of the near and distant maturity forwards and other securities is: (round to two decimal places)