An economy is operating with output $400 billion below its natural level, and fiscal policymakers want to close this recessionary gap. The central bank agrees to adjust the money supply to hold the interest rate constant, so there is no crowding out The marginal propensity to consume is 4/5, and the price level is completely fixed in the short run. In what direction and by how much would government spending need to change to close the recessionary gap? Explain your thinking.

Stock a has a beta of 1.2 and a standard deviation of 20%. stock b has a beta of 0.8 and a standard deviation of 25%. portfolio p has $200,000 consisting of $100,000 invested in stock a and $100,000 in stock b. which of the following statements is correct? (assume that the stocks are in equilibrium.) (a) stock b has a higher required rate of return than stock a. (b) portfolio p has a standard deviation of 22.5%. (c) portfolio p has a beta equal to 1.0. (d) more information is needed to determine the portfolio's beta. (e) stock a's returns are less highly correlated with the returns on most other stocks than are b's returns.

Bernard made a gift of $500,000 to his brother in 2014. due to bernard’s prior taxable gifts he paid $200,000 of gift tax. when bernard died in 2019, the applicable gift tax credit had increased. at bernard’s death, what amount related to the $500,000 gift to his brother is included in his gross estate?

Gus needs to purée his soup while it's still in the pot. what is the best tool for him to use? a. potato masher b. immersion blender c. rotary mixer d. whisk