Macroeconomics

‭in‬ ‭an‬ ‭economy.‬ ‭By‬ ‭knowing‬ ‭how‬ ‭households‬ ‭allocate‬ ‭their‬ ‭additional‬ ‭income‬ ‭between‬ ‭spending‬ ‭and‬ ‭saving,‬ ‭policymakers‬ ‭can‬ ‭design‬ ‭policies‬ ‭that‬‭aim‬‭to‬‭stimulate‬‭consumption,‬‭boost‬‭savings,‬‭or‬‭achieve‬ ‭specifc economic goals.‬ ‭Expenditure Multiplier‬ ‭Now‬ ‭that‬ ‭we‬ ‭know‬ ‭how‬ ‭to‬ ‭calculate‬ ‭MPC‬ ‭and‬ ‭MPS,‬ ‭we‬ ‭can‬ ‭measure‬ ‭the‬ ‭effect‬ ‭of‬ ‭a‬ ‭change‬ ‭in‬ ‭autonomous spending or variables on real GDP (also referred to as national income).‬ ‭The‬‭simple‬ ‭expenditure‬‭multiplier‬ ‭calculates‬ ‭the‬‭effect‬‭of‬‭a‬‭change‬‭in‬‭AD‬‭components‬‭or‬‭autonomous‬ ‭aggregate expenditure on real GDP‬ ‭using the following‬‭formula:‬ ‭∆‬‭‬‭ ‬‭‬‭ ‬ ‭∆‬‭‬‭ ‬‭‬‭ ‬‭‬‭ ‬ ‭Assume‬‭that‬‭investment‬‭in‬‭an‬‭economy‬‭increases‬‭from‬‭$20‬‭billion‬‭to‬‭$60‬‭billion‬‭leading‬‭to‬‭an‬‭increase‬‭in‬ ‭GDP from $100 billion to $180 billion.‬ ‭$ ‭$1 68 00 ‬‭ ‬‭ ‬‭ ‬‭ ‬‭‬−‭‬‭$100‬‭‬‭ ‬ ‭‬‬−‭‬‭$20‬‭‬‭ ‬‭‬ ‭$‭$ 48 00 ‬‭ ‬‭ ‬‭ ‬‭ ‬ ‬‭‬ ‭We can conclude that every $1 in investment generates an additional national income of $2.‬ ‭Multiplier =‬ ‭Multiplier =‬ ‭=‬ ‭= 2.‬

‭Another method used to calculate the multiplier is the following:‬ ‭=‬ ‭1‬ ‭1‬‭‬−‭‬‭ ‬‭‬ ‭ ‭1‬ ‬‭‬ ‭After getting the multiplier, the fnal impact on real GDP is calculated as follows:‬ ‭Multiplier =‬

‭Final impact on GDP = multiplier × autonomous change‬

‭Numerical Application:‬ ‭Assume‬‭that‬‭an‬‭economy‬‭has‬‭an‬‭MPC‬‭=‬‭0.6.‬‭How‬‭will‬‭a‬‭$10‬‭million‬‭increase‬‭in‬‭government‬‭spending‬ ‭affect real GDP?‬ ‭Step 1: Calculate the multiplier:‬

‭Multiplier =‬ ‭1‬ ‭1‬‭‬−‭‬‭ ‬‭‬ ‭1‬ ‭1‬‭‬−‭‬‭0‬.‭6‬‭‬ ‭Step 2: Calculate the fnal impact on real GDP:‬ ‭=‬ ‭= 2.5.‬

‭Final impact on GDP = multiplier × autonomous change = 2.5 × $10 million = $25 million.‬

‭Step 3: Analyze the fnal fgure:‬

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