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Suppose that the price of a zero-coupon bond maturing at time T follows the process
and the price of a derivative dependent on the bond follows the process
Assume only one source of uncertainty and that f provides no income.
(a) What is the forward price F of f for a contract maturing at time T?
(b) What is the process followed by F in a world that is forward risk neutral with respect to P(t , T)?
(c) What is the process followed by F in the traditional risk-neutral world?
(d) What is the process followed by f in a world that is forward risk neutral with respect to a bond maturing at time T* , where T* ≠ T? Assume that is the volatility of this bond.
Write the corresponding inference dual of (3.34). - Show that its solution provides a bound that is no better than that of the surrogate dual and no worse than that of the Lagrangean dual.
Rusty Steele will receive the following payments at the end of the next three years: $12,000, $15,000, and $17,000. Then from the end of the fourth year through the end of the tenth year, he will receive an annuity of $18,000.
You deposit $2,200 in your bank account. If the bank pays 4% simple interest, how much will you accumulate in your account after 10 years What if the bank pays compound interest (annually)
Just Rolling Along Inc. was organized on May 1, 2012, by two college students who recognized an opportunity to make money while spending their days at a beach along Lake Michigan.
Determine the probability that the lifetime of the system exceeds 10 days. - What is the probability that the lifetime of one component exceeds 10 days?
A project that costs $3,600 to install will provide annual cash flows of $860 for each of the next 6 years. A. Calculate the NPV if the discount rate is 10% B. Is this project worth pursuing
Imprudential, Inc. has an unfunded pension liability of $565 million that must be paid in 15 years. To assess the value of the firm's stock, financial analysts want to discount this liability back to the present.
Central Systems, Inc. desires a weighted average cost of capital of 8 percent. Assume that there are no taxes, the firm has a cost of debt of 5 percent and a cost of equity of 10 percent.
Pandorica Ltd is budgeting for a cash deficit at the end of one of the months included in their cash budget. Explain how PandoricaLtd could prepare for this forecasted deficit. (maximum 150 words)
Find at least five unique resources that support your research. Also, be sure to distinguish between direct and indirect methods of intervention and provide several "real-world" examples of intervention
Sidman Products' common stock currently sells for $70 a share. The firm is expected to earn $7.70 per share this year and to pay a year-end dividend of $3.90, and it finances only with common equity.
Rewrite the model using the backward shift operator B. - Is the model invertible? Say why. - Does an auto-regressive representation exist? If yes, give it.
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