LM Curve
LM Curve Hey Mumbai University SYBA IDOL students! Today, we’re diving into the fascinating world of Macro Economics , exploring about – “LM Curve“. In this class, we are going to talk about an important concept called the LM Curve. Don’t worry if this sounds new — I’ll make sure everything is explained in simple language so everyone can understand. We will first learn how the LM curve is derived. This means we will look at how the money market works — how income and interest rates are related — and how this relationship helps us draw the LM curve. After that, we’ll see how both the goods market and the money market can be in balance at the same time. This is shown through something called the IS-LM model, where both the IS curve (from the goods market) and the LM curve (from the money market) come together. This helps us understand how an economy can reach an overall equilibrium. By the end of today’s session, you will have a clear idea about how these curves work and how they are used to study economic stability. So, SYBA IDOL Mumbai University students, get ready to unwrap the “LM Curve” with customized IDOL notes just for you. Let’s jump into this exploration together Follow Us For More Updates Instagram Telegram Whatsapp Question 1 :- How LM curve is derived? Introduction: In macroeconomics, the LM Curve is a crucial concept that helps us understand the relationship between the money market and the economy. The acronym “LM” stands for Liquidity Preference and Money Supply. Essentially, the LM Curve represents the various combinations of interest rates and levels of income where the money market is in equilibrium. This equilibrium occurs when the demand for money is equal to the supply of money. Understanding the derivation of the LM Curve is important for grasping how changes in economic factors affect interest rates and income levels within a nation, and how these elements interplay to determine the overall economic equilibrium. 1. Understanding Money Market Equilibrium The money market is in equilibrium when the demand for real balances (money people want to hold) equals the supply of real balances (money actually available). The formula for this equilibrium is given by L=PM, where: L is the demand for real money balances (liquidity preference). M is the nominal money supply (the total amount of money available). P is the price level (the average of current prices). The equation highlights that the supply of real money balances is determined by how much money is available and how much it is worth (adjusted for price level). 2. Demand for Money The demand for money can be influenced by several factors, prominently including the level of income Y and the interest rate i. This relationship is captured by the equation: L=kY−hi, where: k is the responsiveness of money demand to changes in income. h is the responsiveness of money demand to changes in the interest rate. Generally, as income increases, people demand more money, but as interest rates rise, the demand for holding money decreases because higher rates incentivize investing in interest-bearing assets. 3. Deriving the LM Curve To derive the LM Curve, we analyze how different levels of income and interest rates can fulfill the equilibrium condition in the money market. By rearranging the equation, we can express it in terms of the interest rate: i=h1(kY−PM) This equation indicates how the interest rate changes with variations in income while keeping the money supply constant. By plotting this relationship on a graph with income levels on the X-axis and interest rates on the Y-axis, we get a downward-sloping LM Curve. The downward slope arises because, at higher income levels, interest rates must be lower to maintain equilibrium. This reflects the inverse relationship between the interest rate and the demand for money. 4. Interpreting the LM Curve Each point on the LM Curve represents a specific combination of interest rates and income levels that satisfy the money market equilibrium. As the economy experiences changes (like an increase in income), the demand for money shifts, leading to a new equilibrium at a different point on the curve. If income increases significantly, the demand for money grows, and without an increase in money supply, interest rates must rise to restore equilibrium. Hence, this shift illustrates the flexibility and responsiveness of the economy to various factors. 5. Shifts in the LM Curve The LM Curve can shift due to changes in the money supply. For example, if the central bank increases the money supply (M), the entire curve shifts to the right, indicating lower interest rates at each income level, promoting economic activity. Conversely, any decrease in the money supply would shift the LM Curve to the left, resulting in higher interest rates at the same income levels. 7. Diagram Explanation Panel A (Right Side): This shows how an increase in real money balances (M/P) from M1Pfrac{M_1}{P}PM1 to M2Pfrac{M_2}{P}PM2 leads to a downward movement in the interest rate from i1i_1i1 to i2i_2i2, creating a new equilibrium point. Panel B (Left Side): It shows the LM curve shifting from LM₁ to LM₂. This shift happens because the increase in money supply (seen in Panel A) allows for a higher level of income (Y) at the same interest rate, showing economic expansion. 8. Real-World Example: Imagine the RBI increases the money supply by printing more currency or lowering interest rates. This gives people more cash in hand, making loans cheaper. As a result, consumers spend more, and businesses invest more, which increases income in the economy. The LM curve shifts to the right, showing that the same interest rate can now support a higher level of income. Conclusion: The LM Curve is a key concept in macroeconomics. It shows how interest rates and income levels interact in the money market. By learning how it is derived and how it shifts, we get a deeper understanding of how the economy works and how monetary policy can influence growth