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a. 333
b. 5
c. 3
d. 7500
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- 1. Nominal GDP =P*Y, where P is the price level and Y is aggregate output (income) . We know from class slides that the velocity of money links money supply and nominal GDP. Given nominal GDP in a year is $10 trillion and the quantity of money (M1) is $2 trillion, what is the velocity? What is the meaning of this calculated velocity? 2. Suppose that real money demand is represented by the equation M“/P= 0.25×Y. Calculate the velocity of money. 3. Consider a five year $1000 semiannual coupon bond with a 5% coupon rate. If the bond is current trading for a price of $957.35, what is the bond's yield to maturity? If the bond's yield to maturity increase a little bit, what will the bond's price be? 4. Suppose a 7-year, $1,000 bond with an 8% coupon rate and semiannual coupons is trading with a yield to maturity of 6.75%. Is this bond currently trading at a discount, at par, or at a premium? Explain. If the yield to maturity of the bond rises to 7%, what price will the bond trade for? 5.…2.1 Money demand in an economy in which no interest is paid on money is Md/P =1000 + 0.4Y- 100i (a) Given that P = 100, Y = 1000, and i = 0.10. Find real money demand, nominal money demand, and velocity.(6)(b)The price level doubles from P =100 to P = 200. Find real money demand, nominal money demand, and velocity.( c) Starting from the variables given in part (a) and assuming that the money demand function as written holds, determine how velocity is affected by an increase in real income, (ii) an increase in the nominal interest rate, (iii) an increase in the price level.2. Suppose that in the U.S., the income velocity of money (V) is constant. Suppose, too, that every year, real GDP grows by 2.5 percent (%ΔY/year = 0.025) and the supply of money grows by 10 percent (%ΔM/year = 0.10). a. According to the Quantity Theory of Money, what would be the growth rate of nominal GDP = P×Y? Hint: %Δ(X×Y) %ΔX + %ΔY.
- 3.. 1On the planet of Unjustice, the velocity of money is constant. The growth rate of real GDP is by 6% per year, the money supply grows by 20% per year, and the nominal interest rate is 24%. What is the real interest rate in the planet of Unjustice?Question 5. Consider an economy in which the money demand function takes the form: (M/P = L (i, Y) = Y/(Si) a. If output grows at rate g, at what rate will the demand for real balances grow (assuming constant nominal interest rates)? b. What is the velocity of money in this economy? c. If inflation and nominal interest rates are constant, at what rate, if any, will velocity grow? d. (How will a permanent (once-and-for-all) increase in the level of interest rates affect the level of velocity? How will it affect the subsequent growth rate of velocity?We would expect that the level of income that would equate total demand for and total supply of money would be: (a) roughly at the level of the Fed’s interest rate target; (b) lower the lower the interest rates; (c) equal to the level that would equate realized investment with realized savings; (d) higher the lower the interest rate (or lower the higher the interest rate)
- 24. If the economy is at potential output, and the Fed increases the money supply, in the short run, the likely result will be a(n) _____ in investment and a(n) _____ in consumer spending. increase; decrease decrease; increase increase; increase decrease; decrease 26. Suppose that a typical basket of goods is now less expensive than it used to be. All else equal, we would expect: the demand curve for money to shift outward. a downward movement along a fixed money demand curve. the demand curve for money to shift inward. an upward movement along a fixed money demand curve.The income elasticity of money demand is ny = 0.7 and the interest rate elasticity of money demand is n₁ = -0.06. Suppose that the central bank increases the money supply by 2.6%, real income increases by 2% and inflation is 3%. What is the percentage increase in the nominal interest rate? -0.3 (or -30%) 0.3 (or 30%) -0.1 (or -10%) 0.1 (or 10%)15:32 a09c1bea-84df-494c-a9... 2. Assume that money demand takes the following form: Y [1 − (r + n²º)} i. 25% ii. 50% iii. 75% yoursy where Y 1,000 and r = 0.1. a. Assume that, in the short run, is constant and equal to 25%. Calculate the amount of seignorage if the rate of money growth, A MIM, equals: O Rotate screen M Р Q B) What are the reasons for hyperinflation? Can hyperinflation end through Stabilization Programs? Play Thumbnail 5. SC E Enter Browser 6
- Consider the model of money demand we saw in class. Let the elasticity of money demand with respect to real income be 0.8 and the elasticity of money demand with respect to the interest rate on non-monetary assets be -0.2. Imagine that real income increased by 2.75% and nominal interest rate on non-monetary assets increased by 0.2%. If the central bank wants inflation to be at exactly 2%, it should increase money supply by _____ percent. what goes in blank?12. Suppose that the money demand function is: d = 900 - 60i where r is the interest rate in percent. The money supply M is 3,000 and the price level P is fixed at 6. (optional) a. Graph the supply and demand for real money balances. Make sure to label all curves and axes. b. What is the equilibrium interest rate? What happens to the equilibrium interest rate if the supply of money is reduced from 3,000 to 2,400? Show your work. a. If the central bank wants the interest rate to be 3 percent, what money supply should it set? Show your work.QUESTION 4 Consider the model of money demand we saw in class. Let the elasticity of money demand with respect to real income be 0.8 and the elasticity of money demand with respect to the interest rate on non-monetary assets be -0.2. Imagine that real income goes up by 3%, the interest rate on non-monetary assets goes up by 1%, and the price level does not change. Then the nominal demand for money changes by percent. Note: Type in your answer rounded to two decimal places, i.e., your answer must be of the form "999.99". I will not be able to fix correct answers that were entered incorrectly, such as "999.999" or "999,99" or "999". In case the last digit in the correct answer is zero, e.g., "999.90" or "999.00", Blackboard may automatically delete it and you should not do anything about it. In case of percentages, do not type in the percentage symbol "%". If your answer is a negative number, type a dash in front of your answer, i.e, "-999.99".