An annuity makes payments for 50 years with the following payment pattern: $1 paid at the end of the first year, $2 at the end of the second year, $1 at the end of the third year, $4 at the end of the fourth year, $1 at the end of the fifth year, etc. This pattern will continue such that $1 will be paid out at the end of the 49th year and $50 will be paid out at the end of the 50th year. What is the present value of this annuity assuming the interest rate is 5% per annum convertible quarterly? A

In which of the following games is it clearly the case that the cooperative outcome of the game is good for the two players and bad for society? a. two oil companies own adjacent oil fields over a common pool of oil, and each company decides whether to drill one well or two wells.b. two airlines dominate air travel between city a and city b, and each airline decides whether to charge a "high" airfare or a "low" airfare on flights between those two cities.c. two superpowers decide whether to build new weapons or to disarm.d. in all of the above cases, the cooperative outcome of the game is good for the two players and bad for society