You win your state lottery. The lottery officials offer you the following options: you can accept annual payments of $50,000 for 20 years or receive an upfront payment of $700,000. Ignoring issues like mortality tables, taxes, etc.; and assuming the first payment is made immediately, what market interest rate would make it more attractive to take the upfront payment?

The impact fiscal multiplier is a. usually estimated to have an average value of 2. b. usually estimated to have an average value of 0. c. the actual immediate multiplier effect of a fiscal policy action after taking into consideration direct fiscal offsets and other short-term crowding out of private spending. d. the multiplier effect of a fiscal policy action that applies to a long-run period after all influences on equilibrium real gdp have been taken into account.

Annuity payments are assumed to come at the end of each payment period (termed an ordinary annuity). however, an exception occurs when the annuity payments come at the beginning of each period (termed an annuity due). what is the future value of a 13-year annuity of $2,800 per period where payments come at the beginning of each period? the interest rate is 9 percent. use appendix c for an approximate answer, but calculate your final answer using the formula and financial calculator methods. to find the future value of an annuity due when using the appendix tables, add 1 to n and subtract 1 from the tabular value. for example, to find the future value of a $100 payment at the beginning of each period for five periods at 10 percent, go to appendix c for n = 6 and i = 10 percent. look up the value of 7.716 and subtract 1 from it for an answer of 6.716 or $671.60 ($100 × 6.716)

Rats that received electric shocks were unlikely to develop ulcers if the