In Figure 12.1, if the Federal Reserve sets the real interest rate at R+, which line represents the MP curve? (Note: In this figure, the real rate is denoted by Rt instead of rt) Figure 12.1: MP Curve R Ri MP4 MP3 MP2 * MP1 ○ MP2 ○ MP1 MP3 MP4
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- For the economy described below: C = 2,800+ 0.5(YT) - 8,000r 8,000r IP = 2,000 G = 2,500 NX-0 T = 3,600 a. Suppose that potential output Y* equals 9,080. What real interest rate should the Fed set to bring the economy to full employment? You may take as a given that the multiplier for this economy is 2. Instructions: Enter all your responses as whole numbers. Real rate of interest: % b. Suppose that potential output Y' equals 7,800. What real interest rate should the Fed set to bring the economy to full employment? You may take as given that the multiplier for this economy is 2. Real rate of interest: % c. Show that the real interest rate determined in part a sets national saving equal to planned investment when the economy is at potential output. This result shows that the real interest rate must be consistent with equilibrium in the market for saving when the economy is at full employment. Planned investment P= National saving S=Problem 26-11 (algo) For the economy described below: C = 2,500 + 0.9(Y - T) - 8,000r IP = 2,200 - 8,000r G = 2,500 NX = 0 т 3,600 a. Suppose that potential output Y* equals 31,600. What real interest rate should the Fed set to bring the economy to full| employment? You may take as a given that the multiplier for this economy is 10. Instructions: Enter all your responses as whole numbers. Real rate of interest: 5 O % b. Suppose that potential output Y* equals 26,800. What real interest rate should the Fed set to bring the economy to full employment? You may take as given that the multiplier for this economy is 10. Real rate of interest: 8 O % c. Show that the real interest rate determined in part a sets national saving equal to planned investment when the economy is at potential output. This result shows that the real interest rate must be consistent with equilibrium in the market for saving when the economy is at full employment. Planned investment P= 3160 * National saving S= 3160Click to see additional instructions Suppose for an economy C = 200+.25(Y-200) | = .25Y-1000i G = 150 XM= 250 And money supply is given by M/P = 2Y-8000i While money demand is given by M/P= 1600 The equilibrium interest rate and output is given as ANS Y= i=
- Show the impact of the increase in government purchases on the interest rate by shifting one or both of the curves on the following graph. INTEREST RATE 12 10 8 2 0 0 20 Money Supply known as the Money Demand 40 60 80 MONEY (Billions of dollars) 100 120 = Money Demand Money Supply ? Suppose that for every increase in the interest rate of one percentage point, the level of investment spending declines by $0.5 billion. Based on the changes made to the money market in the previous scenario, the new interest rate causes the level of investment spending to by Taking the multiplier effect into account, the change in investment spending will cause the quantity of output demanded to by at every price level. The impact of an increase in government purchases on the interest rate and the level of investment spending is effect. Use the purple line (diamond symbol) on the graph at the beginning of this problem to show the aggregate demand curve (AD3) after accounting for the impact of the increase…Suppose that money demand is given by M = $Y(0.30-i) where $Y is $200 and i denotes the interest rate in decimal form. Also, suppose that the supply of money is $25. Calculate the equilibrium interest rate as a percent. The equilibrium interest rate is %. (Round your response to two decimal places.) If the Federal Reserve wants to increase the interest rate by 10 percentage points (0.1 in decimal form) over and above the equilibrium interest rate determined above, at what level should it set the money supply? The money supply should be set at $ (Round your response to one decimal place.)1. Suppose the LM curve is given by (M/P) = d,Y – d̟i . The slope of the LM curve is . If d, is small, i.e. if money demand is. very sensitive) to the level of income, then an increase in income will cause a _(sensitive /not _(small /large) increase in money demand and only a _ (small /large) increase in the interest rate is necessary to restore equilibrium in the money market: the LM curve is relatively _(flat /steep). Similarly, if d, is small, i.e. if the quantity of money demanded is (sensitive /not very sensitive) to the interest rate, then an increase in income will increase money demand and it requires a (small /large) increase in the interest rate to restore equilibrium in the money market: the LM curve is relatively _(flat /steep). 2. For this question, assume that Y = N. Based on our understanding of the labor market model presented in Chapter 6, we know that a reduction in the markup will cause an/a _ (increase, reduction) in the natural level of output. 3. If u ? =? )
- Scenario 2 Suppose the money demand is given by MdYx (0.4 - i) = where i is the interest rate. Suppose income Y totals 250. 9. Refer to Scenario 2. If the money supply is M³ = 25, what is the equilibrium interest rate? 10. Refer to Scenario 2. Suppose the Federal Reserve just met and decided they would like to decrease the interest rate by 4 percentage points (compared to the equilibrium rate you found in the previous question). What kind of monetary policy should it use, and what would the money supply have to equal to achieve that goal? (Your answer should be two items: first is expansion or contraction, the second is the actual amount the money supply should be.)Analyze what will happen to the equilibrium interest rate when discount rate increases and the level of aggregate output increases? Using graphThe following graph shows the money market in equilibrium at an interest rate of 7.5% and a quantity of money equal to $60 billion. Show the impact of the increase in government purchases on the interest rate by shifting one or both of the curves on the following graph. 15.0 Money Supply Money Demand 0 Money Supply 12.5 10.0 INTEREST RATE 5 5.0 25 0 0 20 Money Demand 40 60 80 100 MONEY (Billions of dollars) 120
- “If f increases, then the Fed can keep output constantby reducing the real interest rate by the same amount asthe increase in financial frictions.” Is this statement true,false, or uncertain? Explain your answer.In 2009, the U.S. economy was in a severe recession. The Federal Reserve had lowered the federal funds rate to about 0 percent, but still wanted to stimulate the economy more. The inflation rate in 2009 was about –1%, but households’ and businesses’ inflation expectations for the upcoming year were higher and positive, about 1.5%. a)First, do households’ and businesses’ investment demand depend on the ex ante or ex post real interest rate? Briefly explain why. b)Draw an IS-MP diagram that’s consistent with the state of the U.S. economy in 2009. Make sure that your IS and MP curves intersect in a place that is consistent with the setup of the problem, above. In particular, do your IS and MP curves intersect on the flat part of the MP curve, or the upward-sloping part? And do your IS and MP curves intersect at a positive real interest rate or a negative real interest rate? c)Suppose that the U.S. Congress and President pass a fiscal stimulus package that increases government spending.…Consider two interest rate levels, and is, and the corresponding total demand curves Z, and Z, in the usual graph. Hint: recall that the usual graph plots the demand curves with demand for goods on the vertical axis and production on the horizontal axis Question: if firms become more sensitive to interest rates in their investment decisions, then..... Select one: a Z, and Z₂ will shift but remain at the same distance. b. Z and Z₂ will shift down by the same amount c. Z and Z₂ will be further apart d.Z, and Z₂ will be nearer