ECON 304 Exam 2 Prep

.docx

School

Pennsylvania State University, World Campus *

*We aren’t endorsed by this school

Course

304

Subject

Economics

Date

Jan 9, 2024

Type

docx

Pages

22

Uploaded by SuperHumanCoyoteMaster936

Report
Economics 304 Lesson 07 to 09 1. What is the equation for the ‘more realistic’ money multiplier? Mm=[(C/D) + 1] / [C/D + RR/D + ER/D] = [cu + 1] / [cu + res ] 2. In the economy, the following statistics describe the money supply: C = $500b R = $125b D = $2,000b Given these data, calculate the following to whole numbers unless noted otherwise: Monetary Base ( BASE ): BASE = C + R = 500 + 125 = 625 B BASE = Money Supply ( M ): M = C + D = 500 + 2000 = 2500 M = Ratio of reserves to deposits ( res ): (carry out to four decimals) Res = R / D = 125/2000 = 0.0625 res = Ratio of currency to deposits ( cu ): (carry out to four decimals) Cu = C / D = 500/ 2000 =0.25 cu = Money Multiplier ( mm ): (carry out to four decimals) 625B 2500 B 0.0625 0.25 1
Economics 304 Lesson 07 to 09 Mm= (cu + 1) / (cu + res) = 1.25 / .3125 = 4 mm = Now suppose a shock causes banks to change the amount of reserves they hold relative to deposits so that res changes to 0.0750. Suppose that when this happens, both cu and BASE do not change. However, the change in res will affects mm , M , C , R , and D . Calculate the following: Money Multiplier ( mm ): (carry out to four decimals) Mm = (cu + 1)/ (cu + res) = 1.25/ 0.25 + 0.0750 = 3.8461 mm = Money Supply ( M ): m = mm x base = 3.8461 x 625 = 2403.85 M = Bank Deposits ( D ): D = Base / (cu + res) = 625 / (0.25 + .0750) = 1923.07 D = Currency held by the public ( C ): C= M – D = 2403.84 – 1923.07 = 480.77 C = Bank Reserves ( R ): Reserves = Base – C = 625 – 480.77 = 144.23 R = In October, 2008, the Federal Reserve began paying interest on reserves. What did this do to the money multiplier? Why did this happen to the money multiplier? Be sure to use your money multiplier equation when answering this question. 4 3.8461 2403.85 1923.07 480.77 144.23 2
Economics 304 Lesson 07 to 09 3. From your textbook: Just as banking panics led to a decline in the money multiplier during the Great Depression, a worldwide financial panic similarly caused the money multiplier to decline in 2008. Below you will find a graph of the currency-deposit ratio ( cu ) and the reserve-deposit ratio ( dep ) from the Great Depression. How were the changes in the currency-deposit ratio ( cu ) different during the Great Recession than depicted above during the Great Depression? Explain why this was the case. How were the changes in the reserve-deposit ratio ( res ) different during the Great Recession than depicted above during the Great Depression? Explain why this was the case. When the fed started paying interest on reserves the money multiplier fell sharply. This was because the reserve- deposit ratio increased which kept a lot of money from being “multiplier fell sharply. This was because the reserve- deposit ratio increased which kept a lot of money from being “multiplied” through the economy as deposits. Algebraically we can see this because the reserve-deposit ratio is in the denominator of the money multiplier equation. Mm = [(C/D) + 1] / [C/D +RR/D + ER/D] = [cu + 1] / [cu + res] During the Great Recession we saw the currency-deposit ratio decrease slightly instead of increase. This was a result of FDIC insurance which insured deposits, Therefore, people did not have a reason to pull money out of deposits. During the Great Recession we saw the reserve-deposit ratio increase significantly more than it did during the Great Depression. The main cause of this was the Federal Reserve began paying interest on reserves. Therefore, banks held a lot of reserves causing the reserve to deposit ratio to skyrocket. 3
Economics 304 Lesson 07 to 09 What was different about the Federal Reserve’s actions after the Great Recession than their actions after the Great Depression? Suppose the real money demand function is: Assume M = 3600, P = 2.0, π e = 0.01, and Y = 5000. Note: we are holding P and Y constant in this problem until we get to case #2 below. What is the market clearing real interest rate? r = During the Great Depression, the Federal Reserve did not increase the momentary base significantly enough to offset the decline in the money multiplier. This led to the overall money supply decrease causing a deflationary environment. During the Great Recession, the Federal Reserve was able to increase the monetary base by enough to offset the decline in the money multiplier. Making it so the money supply continued to rise, and we did not see level of deflation seen during the Great Depression. 3600/2 = 1500 + 0.2 * 5000 – 10,000(r + 0.01) R = 0.06 0.06 4
Economics 304 Lesson 07 to 09 Show your results on a real money supply, real money demand diagram and label this initial equilibrium point as point A. Be sure to label your graph completely! Correctly drawn and completely labeled diagram is worth 10 points total. Be sure to put relevant shift variables in parentheses next to the appropriate function. 5
Economics 304 Lesson 07 to 09 Suppose Janet Yellen and the Fed were successful in their campaign to raise inflationary expectations to 4% (.04). Why would they want to do this? Use the Fisher equation to support your argument. Solve for the real interest rate that clears the money market given the change in inflationary expectations. Please show work and Label this new point as point B on your diagram above. r = We know that the real interest rate is equal to the nominal interest rate minus the expected rate of inflation. This is called the fisher equation and is below in equation form. R = I – pi^e If the fed raises inflationary expectations, all else constant, then real rates will fail. They would want to do this if they wanted to expand a slowing economy. .03 6
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help