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        <title>AdviserVoiceComparing two market crises: a new type of crisis requires a new solution - AdviserVoice</title>
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                <title>Comparing two market crises: a new type of crisis requires a new solution</title>
                <link>https://www.adviservoice.com.au/2020/03/comparing-two-market-crises-a-new-type-of-crisis-requires-a-new-solution/</link>
                <comments>https://www.adviservoice.com.au/2020/03/comparing-two-market-crises-a-new-type-of-crisis-requires-a-new-solution/#respond</comments>
                <pubDate>Tue, 17 Mar 2020 20:55:46 +0000</pubDate>
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                		<category><![CDATA[Economic Update]]></category>
		<category><![CDATA[William Priest]]></category>
                <guid isPermaLink="false">https://adviservoice.com.au/?p=66639</guid>
                                    <description><![CDATA[<div id="attachment_44175" style="width: 260px" class="wp-caption alignleft"><img decoding="async" aria-describedby="caption-attachment-44175" class="wp-image-44175 size-full" src="https://adviservoice.com.au/wp-content/uploads/2016/07/Priest-bill-250.jpg" alt="" width="250" height="180" /><p id="caption-attachment-44175" class="wp-caption-text">William Priest</p></div>
<h3>The Global Financial Crisis of 2008 was a gigantic worldwide liquidity crisis that morphed into a recession but was largely treatable by monetary policy with fiscal support. Novel monetary and fiscal solutions, Quantitative Easing (QE) and the Targeted Asset Repurchase Program (TARP) in particular were put into place in the U.S.</h3>
<p>QE was used initially to solve the overwhelming illiquidity issue of the moment. No free market solution would have worked without untold misery of unemployment and bankruptcies. The banking system could not have survived. Our federal government purchased certain assets that were killing private sector holders because of their illiquidity and placed those securities on a balance sheet that possessed an infinite maturity—that of the federal government. These policies worked, and the U.S. taxpayer even made a profit on TARP holdings.</p>
<p>In my 50 years of working in finance, it was the most terrifying moment I had ever experienced. The world as we knew it could have imploded. But it did not thanks to the mixture of TARP and QE.</p>
<p>The COVID-19 pandemic of 2020 is a very different situation. From an economic perspective, we are facing a huge demand shock, not a financial liquidity shock. Without an offset, we will then face a supply shock as unemployment rises and productive measures crumble. This important difference from 2008 must be solved with fiscal policy and not monetary policy. The latter cannot address the problem we face today. For one thing it comes at a time when corporate balance sheets are highly leveraged relative to their past and the global manufacturing base was already flirting with recession as reflected in global manufacturing PMIs.</p>
<p>COVID-19 has produced a huge demand shock at the same time in which we have entered a new cold war with China, supply chains are being deglobalized, and the labor arbitrage that began with the fall of the Berlin Wall in 1989 has run its course. Profit margins were peaking, manufacturing PMIs were falling and corporate debt leverage was touching new highs.</p>
<p>As we begin to grasp both the human and economic consequences of this pandemic, the demand shock is increasingly evident. A recession is inevitable when one considers the forces in motion and only fiscal policy can address the broadening consequences of this exploding demand shock.</p>
<p>Think of COVID-19 as a point on an “S” curve. Early on, the incidence of the virus expands as it rides up the S curve. Every data point is higher and the rate of change is increasing as well. At some level, we reach an inflection point. After that, the curve continues to rise but at a decreasing rate before it reaches an asymptotic state (think flat).</p>
<p>We still do not have a good picture of where we are on the “S” curve globally. China and South Korea appear to have passed the inflection point but that does not appear to be the case elsewhere. The key is to hit the inflection point as soon as possible and hope that we can bend the curve to something close to flat. Think of the letter “L” upside down. Achieving that will require significant social distancing now and eventually a vaccine.</p>
<p>The faster we flatten the line, the better for our health, but actions taken to do just that will worsen the economic outlook. This is why we need fiscal stimulus, and it will have to be big. Only the federal government can deal with this problem in order to minimize the length of any economic slowdown. We must offset the demand shock arising from the “treatments” (primarily social distancing policies) required to eliminate the virus.</p>
<p>Consider the following model. It is something we have used in the past to demonstrate the linkage between the real economy and the financial economy. The links between the two economies are shown below.</p>
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" 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<p>Real GDP is the sum of the levels of employment and productivity. The growth rate is the sum of the growth rate of the work force plus the growth rate of productivity. Add inflation to that number and you have nominal GDP.</p>
<p>If one holds profit margins constant, the growth rate of nominal GDP tends to equal the growth in corporate earnings over long periods of time. The valuation metric for those earnings (think P/E) is largely driven by the inflation rate as reflected through interest rates. The absence of inflation would cause one to use what economists call a “normal” interest rate.</p>
<p>Here is where a lot of things changed during the last decade. QE dropped or even eliminated the “normal” rate, causing the present value of financial assets to soar. The idea was that the higher level of financial asset values would induce higher GDP because higher wealth combined with the marginal propensity to consume (MPC) would accelerate growth in employment and productivity and lead to overall GDP growth accelerating. While it was helpful to the economy, even if not to the degree that was hoped for, it was fabulous for financial asset valuations.</p>
<p>Now, let’s look at the model through the lens of the demand shock induced by COVID-19. Services represent more than 50% of the U.S. economy, and services require human interaction. Social distancing will impair that activity and eventually result in lower employment and productivity. As these components decline, so will real GDP, leading inevitably to a recession.</p>
<p>Monetary policy cannot address this problem, but fiscal policy can. The “G” component in the C + I + G + (X-M) = GNP equation must be expanded a great deal. Only fiscal policy can accomplish this end. For the U.S., a badly needed infrastructure stimulus could be put into place. With Treasury rates at all-time lows, it would be easy to finance. (Yes, we would be adding to the “debt mountain,” but let’s hold that issue for the moment.) There are two big sources of demand for the debt issuance: foreigners and the Social Security System regardless of the low rate levels that exist at the moment. (That argument will be presented in a future paper).</p>
<p>If the only tool we use is monetary policy it will fail badly. The demand shock will lead to a supply shock as unemployment rises and productivity falls. One must use fiscal policy to solve this problem even if means mailing a check to households every month who are suddenly left without income earners because of the shock emanating from the social distancing policies required to defeat biological effects of the virus.</p>
<p>The Fed has cut rates to zero, but it will not be enough. If fiscal policy is deployed in a timely (now) and efficient manner, the future shape of the economy can look more like the letter “V” than the letters “U” or “L.” The equity markets will reflect that shape as well.</p>
<p><em><strong>By William W. Priest, CFA , Chief Executive Officer, Co-Chief Investment Officer &amp; Portfolio Manager</strong></em></p>
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                                            <content:encoded><![CDATA[<div id="attachment_44175" style="width: 260px" class="wp-caption alignleft"><img decoding="async" aria-describedby="caption-attachment-44175" class="wp-image-44175 size-full" src="https://adviservoice.com.au/wp-content/uploads/2016/07/Priest-bill-250.jpg" alt="" width="250" height="180" /><p id="caption-attachment-44175" class="wp-caption-text">William Priest</p></div>
<h3>The Global Financial Crisis of 2008 was a gigantic worldwide liquidity crisis that morphed into a recession but was largely treatable by monetary policy with fiscal support. Novel monetary and fiscal solutions, Quantitative Easing (QE) and the Targeted Asset Repurchase Program (TARP) in particular were put into place in the U.S.</h3>
<p>QE was used initially to solve the overwhelming illiquidity issue of the moment. No free market solution would have worked without untold misery of unemployment and bankruptcies. The banking system could not have survived. Our federal government purchased certain assets that were killing private sector holders because of their illiquidity and placed those securities on a balance sheet that possessed an infinite maturity—that of the federal government. These policies worked, and the U.S. taxpayer even made a profit on TARP holdings.</p>
<p>In my 50 years of working in finance, it was the most terrifying moment I had ever experienced. The world as we knew it could have imploded. But it did not thanks to the mixture of TARP and QE.</p>
<p>The COVID-19 pandemic of 2020 is a very different situation. From an economic perspective, we are facing a huge demand shock, not a financial liquidity shock. Without an offset, we will then face a supply shock as unemployment rises and productive measures crumble. This important difference from 2008 must be solved with fiscal policy and not monetary policy. The latter cannot address the problem we face today. For one thing it comes at a time when corporate balance sheets are highly leveraged relative to their past and the global manufacturing base was already flirting with recession as reflected in global manufacturing PMIs.</p>
<p>COVID-19 has produced a huge demand shock at the same time in which we have entered a new cold war with China, supply chains are being deglobalized, and the labor arbitrage that began with the fall of the Berlin Wall in 1989 has run its course. Profit margins were peaking, manufacturing PMIs were falling and corporate debt leverage was touching new highs.</p>
<p>As we begin to grasp both the human and economic consequences of this pandemic, the demand shock is increasingly evident. A recession is inevitable when one considers the forces in motion and only fiscal policy can address the broadening consequences of this exploding demand shock.</p>
<p>Think of COVID-19 as a point on an “S” curve. Early on, the incidence of the virus expands as it rides up the S curve. Every data point is higher and the rate of change is increasing as well. At some level, we reach an inflection point. After that, the curve continues to rise but at a decreasing rate before it reaches an asymptotic state (think flat).</p>
<p>We still do not have a good picture of where we are on the “S” curve globally. China and South Korea appear to have passed the inflection point but that does not appear to be the case elsewhere. The key is to hit the inflection point as soon as possible and hope that we can bend the curve to something close to flat. Think of the letter “L” upside down. Achieving that will require significant social distancing now and eventually a vaccine.</p>
<p>The faster we flatten the line, the better for our health, but actions taken to do just that will worsen the economic outlook. This is why we need fiscal stimulus, and it will have to be big. Only the federal government can deal with this problem in order to minimize the length of any economic slowdown. We must offset the demand shock arising from the “treatments” (primarily social distancing policies) required to eliminate the virus.</p>
<p>Consider the following model. It is something we have used in the past to demonstrate the linkage between the real economy and the financial economy. The links between the two economies are shown below.</p>
<p><img loading="lazy" decoding="async" id="x_Picture_x0020_2" 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" 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<p>Real GDP is the sum of the levels of employment and productivity. The growth rate is the sum of the growth rate of the work force plus the growth rate of productivity. Add inflation to that number and you have nominal GDP.</p>
<p>If one holds profit margins constant, the growth rate of nominal GDP tends to equal the growth in corporate earnings over long periods of time. The valuation metric for those earnings (think P/E) is largely driven by the inflation rate as reflected through interest rates. The absence of inflation would cause one to use what economists call a “normal” interest rate.</p>
<p>Here is where a lot of things changed during the last decade. QE dropped or even eliminated the “normal” rate, causing the present value of financial assets to soar. The idea was that the higher level of financial asset values would induce higher GDP because higher wealth combined with the marginal propensity to consume (MPC) would accelerate growth in employment and productivity and lead to overall GDP growth accelerating. While it was helpful to the economy, even if not to the degree that was hoped for, it was fabulous for financial asset valuations.</p>
<p>Now, let’s look at the model through the lens of the demand shock induced by COVID-19. Services represent more than 50% of the U.S. economy, and services require human interaction. Social distancing will impair that activity and eventually result in lower employment and productivity. As these components decline, so will real GDP, leading inevitably to a recession.</p>
<p>Monetary policy cannot address this problem, but fiscal policy can. The “G” component in the C + I + G + (X-M) = GNP equation must be expanded a great deal. Only fiscal policy can accomplish this end. For the U.S., a badly needed infrastructure stimulus could be put into place. With Treasury rates at all-time lows, it would be easy to finance. (Yes, we would be adding to the “debt mountain,” but let’s hold that issue for the moment.) There are two big sources of demand for the debt issuance: foreigners and the Social Security System regardless of the low rate levels that exist at the moment. (That argument will be presented in a future paper).</p>
<p>If the only tool we use is monetary policy it will fail badly. The demand shock will lead to a supply shock as unemployment rises and productivity falls. One must use fiscal policy to solve this problem even if means mailing a check to households every month who are suddenly left without income earners because of the shock emanating from the social distancing policies required to defeat biological effects of the virus.</p>
<p>The Fed has cut rates to zero, but it will not be enough. If fiscal policy is deployed in a timely (now) and efficient manner, the future shape of the economy can look more like the letter “V” than the letters “U” or “L.” The equity markets will reflect that shape as well.</p>
<p><em><strong>By William W. Priest, CFA , Chief Executive Officer, Co-Chief Investment Officer &amp; Portfolio Manager</strong></em></p>
<p>The post <a href="https://www.adviservoice.com.au/2020/03/comparing-two-market-crises-a-new-type-of-crisis-requires-a-new-solution/">Comparing two market crises: a new type of crisis requires a new solution</a> appeared first on <a href="https://www.adviservoice.com.au">AdviserVoice</a>.</p>
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