Monetary Policy Analysis for Ending a Recession in Freedonia

Introduction

In the face of a recession, the role of a central bank becomes crucial in implementing effective monetary policies to stimulate economic growth. This essay aims to guide Rufus T. Firefly, the president of the Bank of Freedonia, through the process of using monetary policy to end the recession in Freedonia. We will calculate essential economic parameters, such as the money multiplier, simple multiplier, current interest rate, required changes in investment, interest rate, money supply, and the necessary size of government bond purchases.

Key Economic Parameters

Money Multiplier: The money multiplier represents the change in the money supply resulting from a change in the monetary base. It is calculated as the reciprocal of the reserve requirement. In this case, the reserve requirement is 25%, so the money multiplier (mm) is 1 / 0.25 = 4.

Simple Multiplier: The simple multiplier measures the change in GDP resulting from a change in autonomous expenditures. It is calculated as the reciprocal of the marginal propensity to save (MPS). Given an MPS of 0.20, the simple multiplier (sm) is 1 / 0.20 = 5.

Current Interest Rate: The given table presents various combinations of interest rates (r), money demand (MD), and investment (I). To determine the current interest rate, we observe the table and note that when MD equals the money supply, the interest rate is 10%. Therefore, the current interest rate is 10%.

Calculations for Ending the Recession

Change in Investment Needed: To close the GDP gap of $150 billion and achieve full employment, we can use the simple multiplier. The required change in investment (∆I) can be calculated as ∆I = (Change in GDP) / simple multiplier = $150 billion / 5 = $30 billion.

Change in Interest Rate: To determine the change in the interest rate (∆r), we can use the equation of the money market: MD + ∆MD = MS + ∆MS, where ∆MD represents the change in money demand and ∆MS is the change in the money supply. Given the money multiplier (mm) of 4, we can rearrange the equation as follows: ∆MS = mm * ∆MD. Assuming a proportional relationship between MD and the interest rate, a decrease of $30 billion in money demand would lead to a decrease in the interest rate by 1 percentage point (10% – 1% = 9%).

Change in Money Supply: Using the money multiplier, we can calculate the change in the money supply (∆MS) needed to accommodate the desired change in investment. ∆MS = mm * ∆MD = 4 * $30 billion = $120 billion.

Size of Bond Purchase: To increase the money supply by $120 billion, Rufus needs to purchase government bonds worth that amount. This action injects money into the economy and raises the money supply to close the recessionary gap.

Conclusion

In conclusion, Rufus T. Firefly can utilize monetary policy to end the recession in Freedonia by implementing a series of actions. By leveraging the money multiplier and simple multiplier, he can determine the required changes in investment, interest rates, and money supply. To increase the money supply and stimulate economic activity, Rufus should make a government bond purchase of $120 billion. This infusion of funds will help bridge the GDP gap of $150 billion and guide Freedonia back toward full employment GDP.