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We are given a number of darts. Suppose it is known that each time we throw a dart at a target, we have a probability of of hitting the target. An experiment consists of throwing three darts at the target and observing the sequence of hits and misses (e.g., one possible outcome might be (H,M,M)).
(a) Find a probabilty assignment for the eight outcomes of this experiment that leads to a probabilty of 1/4 of hitting the target on any toss. Note, your assignment must satisfy the axioms of probability.
(b) Is the probability assigment you chose unique? That is, are there other possible probability assignments that lead to a probabilty of 1/4 of hitting the target on any toss, or is yours the only valid assignment? Carefully prove your answer.
Jim Company bought a machine for $34,800 with an estimated life of 3 years. The residual value of the machine is $10,160. This machine is expected to produce 123,200 units.
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.
Best Buy at $50.00, and Ford Motor at $10.00. How many shares of each company should you purchase so that your portfolio consists of 25 percent Alaska Air, 40 percent Best Buy, and 35 percent Ford Motor
Assume that IWT has completed its IPO and has a $112.5 million capital budget planned for the coming year. You have determined that its present capital structure (80% equity and 20% debt) is optimal,
Alma has used the estimates provided by Dan to determine the revenues that could be expected from the mine. She has also projected the expense of opening the mine and the annual operating expenses.
The R&D dept. is planning to bid on a large project for the development of a new communication system for commercial planes. The accompanying table shows the activities, time & sequence required
Lisa is offered an investment that will pay her $700 every year forever starting 8 years from now. Lisa requires a return of 5% on investments of this risk level. What is the most lisa will pay for this investment
Wagner Industrial Motors, which is currently operating at full capacity, has sales of $2,450, current assets of $790, current liabilities of $480, net fixed assets of $1,640, and a 5 percent profit margin.
Show that the constraint set is not 3-consistent, and show that a branching algorithm that follows the ordering 1,2,3,4 may be required to backtrack.
The current price of the $1,000 bind if $978. On February 1, you purchase $10,000 face amount, and your broker charges a $25 commission. How mcuh must you remit for the purchase
The portfolio beta is 1.12. Now suppose you decided to sell one of the stocks in your portfolio with a beta of 1.0 for $7500 and use the proceeds to buy another stoc with beta of 1.75.
Bond N also has a face value of $40,000 and a maturity of 20 years; it makes no coupon payments over the life of the bond. The required return on both these bonds is 8 percent compounded semiannually.
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