Lara allocates wealth between two periods: youth (time 1) and old age (time 2).currently (in her youth) she has $8,000 in cash. she can borrow and lend at the bankat a rate of 15% between time 1 and time 2 (that is, lending $1 in youth will give her$1.15 in old age). her only investment opportunity other than the bank is a projectthat costs $5,000 now in her youth and has a payoff of $6,000 in her old age. what isthe most lara can consume in her old age? assume lara cannot consume a negativeamount in her youth.

Aproduction line has three machines a, b, and c, with reliabilities of .96, .86, and .85, respectively. the machines are arranged so that if one breaks down, the others must shut down. engineers are weighing two alternative designs for increasing the line’s reliability. plan 1 involves adding an identical backup line, and plan 2 involves providing a backup for each machine. in either case, three machines (a, b, and c) would be used with reliabilities equal to the original three. a. compute overall system reliability under plan 1. (round your intermediate calculations and final answer to 4 decimal places.) reliability b. compute overall system reliability under plan 2. (round your intermediate calculations and final answer to 4 decimal places.) reliability c. which plan will provide the higher reliability? plan2plan1

The master manufacturing company has just announced a tender offer for its own common stock. master is offering to buy up to 100% of the company's stock at $20 per share contingent on at least 64% of the outstanding shares being tendered. after the announcement of the offer, the stock closed on the nyse up 2.50 at $18.75. a customer has 100 shares of master stock in his cash account. the customer tells you that he wishes to "cash out" his position. you should recommend that the customer:

The uptowner just paid an annual dividend of $4.12. the company has a policy of increasing the dividend by 2.5 percent annually. you would like to purchase shares of stock in this firm but realize that you will not have the funds to do so for another four years. if you require a rate of return of 16.7 percent, how much will you be willing to pay per share when you can afford to make this investment?