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	<title>Accounting and Double-Entry Bookkeeping &#8211; Financial Statement Analysis for Value Investing</title>
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	<description>Financial Statement Analysis for Value Investing</description>
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	<title>Accounting and Double-Entry Bookkeeping &#8211; Financial Statement Analysis for Value Investing</title>
	<link>https://www.penmanpope4value.com</link>
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<site xmlns="com-wordpress:feed-additions:1">244141626</site>	<item>
		<title>The Balance Sheet Missing Intangible Assets: A Problem?</title>
		<link>https://www.penmanpope4value.com/the-balance-sheet-missing-intangible-assets-a-problem/</link>
		
		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Tue, 25 Mar 2025 12:28:19 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=2286</guid>

					<description><![CDATA[The issue of booking intangible assets to the balance sheet is at the fore now, with the accounting authorities having [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>The issue of booking intangible assets to the balance sheet is at the fore now, with the accounting authorities having taken it up for consideration. It is often asked: If tangible assets are booked to the balance sheet, why not intangible assets?</p>
<p>That sounds reasonable, but there is an important subtlety. If a firm buys inventory that it can sell tomorrow with high probability, it books it as an asset on the balance sheet, If a firm builds a plant to produce inventory that it can sell with high probability, it books the plant to the balance sheet. But if a firm invests in R&amp;D that has produced no product of revenue as yet…and it might not be successful…should the investment be booked to the balance sheet? There is a lower probability of payoff, so should an asset be booked with the pretense that it provides collateral? We are told that 85% of R&amp;D investment is unsuccessful.</p>
<p>The investor is interested in the payoff to investment, and th ecutting edge here is the probability of payoff. That is the criterion for capitalizing assets in the balance sheet under FASB and IFRS accounting standards. For the accounting for R&amp;D under FASB Statement No. 2, the FASB requires the investment to be expensed due to the “uncertainty of future benefits.”  In IAS 38, the IASB applies the criterion of “probable future economic benefits” to distinguish between “research” (which is expensed) and “development” (which is capitalized in the balance sheet and amortized). Even IAS 16 on property, plant, and equipment requires benefits to be “probable” for the asset to be booked.</p>
<p>Reporting R&amp;D just says an expenditure has been made, nothing about the likely payoff. So the criterion for booking any asset to the balance sheet is the probability of future benefits. That suits the investor who is concerned about the risk to payoffs. Indeed, we will see in chapter 8 on risk to value that the expensing of intangible assets to the income statement conveys important risk information to the investor. The accounting authorities might not have the precise calibration as yet, but the investor is warned: Buying a firm with R&amp;D with relatively low probability of payoff (an R&amp;D startup, for example) is risky. And that applies to other intangible assets. For expenditures on advertising or brand building, it is uncertain whether the customers will be hooked. For investment in human capital, the outcome is uncertain; the employees may leave and go to a competitor. And so for investment to develop supply chains and distribution systems, customer loyalty programs, software development, merger costs, start-up and organization costs, and more.</p>
<p>For more on this, see</p>
<p>Barker, R., A. Lennard, S. Penman, and A. Teixeira. 2021.Accounting for Intangible Assets: Suggested Solutions.” <em>Accounting and Business Research</em> Vol. 52 No. 6, 601-630</p>
<p>Penman, S. 2023. Accounting for Intangible Assets: Thinking it Through. <em><i>Australian Accounting Review </i></em>Vol. 33 No. 1, 5-13.</p>
<p>Penman, S. 2024. Empirical Research on Capitalizing Intangible Assets is Logically Incoherent. At <a href="https://ssrn.com/abstract=4982366" target="_blank" rel="noopener"><u>https://ssrn.com/abstract=4982366</u></a>.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">2286</post-id>	</item>
		<item>
		<title>Protection from Buying Profitability</title>
		<link>https://www.penmanpope4value.com/protection-from-buying-profitability/</link>
		
		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Tue, 25 Mar 2025 12:14:57 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=2274</guid>

					<description><![CDATA[The value investor takes on the mantra, Beware of Buying Profitability but then embraces another mantra, Carry the Balance Sheet [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>The value investor takes on the mantra, <em><i>Beware of Buying Profitability </i></em>but then embraces another mantra, <em><i>Carry the Balance Sheet with You</i></em>. The enterprise valuation formula in short form is</p>
<p><img decoding="async" class="aligncenter wp-image-2247 size-full" src="https://www.penmanpope4value.com/wp-content/uploads/2025/03/Screenshot_10-1.png" alt="" width="443" height="55" srcset="https://www.penmanpope4value.com/wp-content/uploads/2025/03/Screenshot_10-1.png 443w, https://www.penmanpope4value.com/wp-content/uploads/2025/03/Screenshot_10-1-300x37.png 300w" sizes="(max-width: 443px) 100vw, 443px" /></p>
<p>RNOA<sub>1 </sub>can be high because assets are missing from its denominator, NOA<sub>0</sub>. That results in a higher residual income. But correspondingly, the book value term in the valuation, <em><i>NOA</i></em><sub>0</sub> is lower. Indeed, it exactly offsets the higher RNOA<sub>1</sub>, leaving  unaffected. See the illustration with Coca Cola in chapter 6. <em><i>Carry the Balance Sheet with You</i></em>.</p>
<p>The same point applies to RNOA<sub>1</sub> generated by accounting manipulation. The mischievous accountant can increase next year’s operating income and RNOA<sub>1</sub> by writing off assets. But that reduces NOA<sub>0</sub>. Carry the balance sheet with you to protect against such mischief.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">2274</post-id>	</item>
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		<title>The Proportional Consolidation Alternative to the Equity Method</title>
		<link>https://www.penmanpope4value.com/the-proportional-consolidation-alternative-to-the-equity-method/</link>
					<comments>https://www.penmanpope4value.com/the-proportional-consolidation-alternative-to-the-equity-method/#respond</comments>
		
		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Mon, 24 Mar 2025 13:30:33 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=2023</guid>

					<description><![CDATA[If a firm has less than 50% control of an entity in which it has a beneficial interest, it applies [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>If a firm has less than 50% control of an entity in which it has a beneficial interest, it applies the equity method rather than consolidation if it has more than 20% voting interest in the entity. That reports the share of profits or losses in the income statement but not the detail on revenues, profit margins, and taxes that the investor requires to understand the value drivers. In the balance sheet, there is no detail of the net assets that generate the value, nor of the leverage in the subsidiary. The investor is left short on information. At one time, The Coca-Cola Company adopted “the 49 percent solution”: Hold only 49 % of the outstanding shares in subsidiaries and thus use the equity method. As this included their bottlers and distribution companies, it left investors in the lurch.</p>
<p>A solution is proportional consolidation: Consolidate the subsidiary into the parent company’s accounts as with the accounting when the interest is over 50%. Then you get the information. That, of course, can only be done if there are published financial statements for the subsidiary. That is the case in the EU and UK where private company accounts are available. But in the U.S. accounts are available only for public companies whose shares are listed for public trading, though also for companies where their stock is not listed but their debt is.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">2023</post-id>	</item>
		<item>
		<title>Evolution of Coke’s Off-balance Tax Liability</title>
		<link>https://www.penmanpope4value.com/evolution-of-cokes-off-balance-tax-liability/</link>
					<comments>https://www.penmanpope4value.com/evolution-of-cokes-off-balance-tax-liability/#respond</comments>
		
		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Mon, 24 Mar 2025 13:29:28 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=2021</guid>

					<description><![CDATA[Coke’s contingent liability for income taxes from a case in the U.S. Tax Court was covered in a vignette in [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Coke’s contingent liability for income taxes from a case in the U.S. Tax Court was covered in a vignette in Chapter 9. Up to the June 2024, the company maintained in its quarterly 10-Q filing that the probability of winning the case was more likely than not. The firm did increase the provision for the liability to $456 million from the $438 million in the vignette while reporting that it could be $6.0 billion (including interest) if the court case goes against it.</p>
<p>In July 2024, a judge ruled against the firm, requiring a $6.0 billion payment, refundable if Coke won on appeal. Coke appealed the decision but still maintained its “more likely than not” stance that it would not have to pay, the standard for recognizing a contingent liability. The judgment covered years 2007-2009 with other years yet to be litigated.</p>
<p>To finance the $6.0 billion, Coke issued debt. Contingent debt (not recognized on the balance sheet) became actual debt (recognized).</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">2021</post-id>	</item>
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		<title>Unlocking Value from Pensions</title>
		<link>https://www.penmanpope4value.com/unlocking-value-from-pensions/</link>
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		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Mon, 24 Mar 2025 13:28:49 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=2019</guid>

					<description><![CDATA[Chapter 7 pointed out the companies with defined benefit pension plans are running two businesses, their core business and a [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Chapter 7 pointed out the companies with defined benefit pension plans are running two businesses, their core business and a pension fund. Just as the core business can add or lose value, so can the pension fund. The chapter emphasized that reformulated financial statements must clearly separate the two businesses, otherwise the source of the value generation is not clear.</p>
<p>At the end of 2023, Eastman Kodak Corporstion (KODK) reported pension liabilities of $2,974 million against the value of pension plan assets of $4,074 million (at fair value). That’s $1,110 million in overfunding. The value of the pension assets had increased significantly with a strong performance from its stock portfolio. That is value added for Kodak for it is backing for the pension liability. Shareholders will not have to make cash contributions to the pension fund as the pension liability grows.</p>
<p>But can shareholders realize the funding surplus? It’s for employees, not shareholders. Well, there are ways around it provided employees are not damaged. Kodak converted some pension obligations to employees by giving them a value-equivalent annuity that pays out on retirement. With the liability removed, the firm was then free to cash out the part of the pension fund no longer needed to cover the liability. The firm was expected to book a gain of $535 million with the maneuver. That compares with the $75 million from the firm’s core operations in 2023. Unlocking value, it is called.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">2019</post-id>	</item>
		<item>
		<title>The Tentacles of Off-Balance Sheet Risk</title>
		<link>https://www.penmanpope4value.com/the-tentacles-of-off-balance-sheet-risk/</link>
					<comments>https://www.penmanpope4value.com/the-tentacles-of-off-balance-sheet-risk/#respond</comments>
		
		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Mon, 24 Mar 2025 11:53:48 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=1985</guid>

					<description><![CDATA[Firms can take risk off balance sheet by selling the risk associated with assets to third parties, often hedge funds, [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Firms can take risk off balance sheet by selling the risk associated with assets to third parties, often hedge funds, willing to take on the risk and associated rewards. Banks, for example, can transfer risks in their loans to these third parties. That makes sense for banks wanting to reduce risk to free up regulatory capital and make more loans. The instrument is a “credit risk transfer” or CRT.  By 2023, this market for this facility had risen to $24 billion according to credit investor Chorus Capital (<em><i>Financial Times</i></em>, December 7, 2024). That makes sense for banks wanting to reduce risk to free up regulatory capital. And it distributes risk throughout the economy rather than have it concentrated in vulnerable firms, a desirable effect.</p>
<p>But <em><i>beware.</i></em> The escalation of risk with credit default swaps (CDS) in 2007-2008, also a device to spread the risk around, had unhappy consequences. In 2008 AIG could not honor CDS claims and collapsed, with the defaulting cascading to other firms now without the CDS insurance on the debt of other defaulting firms: Contagion. For these firms, risk was off balance sheet but came back to hit them. A CRT is a little different from a CDS, but the same worry remains: The default by a firm buying the instrument could spread to other firms. Firms taking on the risk are usually not as informed about the risk as (say) banks making loans to their customers, so are in a less favorable position to manage the risk. And, though there is usually no recourse with these instruments, they can come back and hit a bank if the third party is leveraging with loans from the bank when buying them. And, if banks make more risky loans because of freed-up regulatory capital, the cascading could magnify. Another historical event also brings warnings: In 2005-2007, banks sold off loans to third parties who then packaged them into mortgage-backed securities with little ability to monitor or manage the risk. You know what happened in 2008 and to banks…</p>
<p>The value investor has a mantra: When you see complicated transactions and instruments, <em><i>beware</i></em>. They can have long tentacles.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">1985</post-id>	</item>
		<item>
		<title>Tracking with a No-growth Valuation Anchor</title>
		<link>https://www.penmanpope4value.com/tracking-with-a-no-growth-valuation-anchor/</link>
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		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Fri, 21 Mar 2025 11:23:40 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=1700</guid>

					<description><![CDATA[Chapter 4 suggests tracking a firm by monitoring the market’s pricing of growth over time: Is the market offering a [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Chapter 4 suggests tracking a firm by monitoring the market’s pricing of growth over time: Is the market offering a lower price to buy growth?</p>
<p>There is another feature to add to the tracking: The accounting for the no-growth component of the market price. Based on anchoring information, this is an accounting without speculation about growth. If the no-growth valuation is maintained over time, but the market’s pricing of growth declines, that is worth investigating. On the other hand, if the market’s pricing of growth increases but the no-growth valuation declines, that waves a red flag. Referring to the building block diagram, the ratio of the no-growth component to market’s growth component is a metric that can be employed.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">1700</post-id>	</item>
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		<title>The Structure of the Accounting Book</title>
		<link>https://www.penmanpope4value.com/the-structure-of-the-accounting-book/</link>
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		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Fri, 21 Mar 2025 08:32:21 +0000</pubDate>
				<category><![CDATA[Uncategorized]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=1585</guid>

					<description><![CDATA[Below is a picture that gives the structure of the accounting book that tracks accounting for value. You can see [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Below is a picture that gives the structure of the accounting book that tracks accounting for value. You can see that the structure consists of financial statements, tied together by a set of accounting equations.</p>
<p><img fetchpriority="high" decoding="async" class="alignnone wp-image-1592 size-full" src="https://www.penmanpope4value.com/wp-content/uploads/2025/03/image.png" alt="" width="1131" height="680" srcset="https://www.penmanpope4value.com/wp-content/uploads/2025/03/image.png 1131w, https://www.penmanpope4value.com/wp-content/uploads/2025/03/image-300x180.png 300w, https://www.penmanpope4value.com/wp-content/uploads/2025/03/image-1024x616.png 1024w, https://www.penmanpope4value.com/wp-content/uploads/2025/03/image-768x462.png 768w" sizes="(max-width: 1131px) 100vw, 1131px" /></p>
<p>There are four financial statements produced by the accounting: A balance sheet at the beginning and end of a period, the income statement, the cash flow statement, and the statement of changes in common shareholders’ equity (CSE). The shareholders’ equity statement is often not mentioned but you can see in the diagram it lies at the center of things for it explains the change in shareholders’ equity from the beginning balance sheet to the ending balance sheet. The change in shareholders’ equity is explained by</p>
<p>CSE<sub>t-1</sub>+ CI<sub>t </sub>&#8211; Net Payout to Shareholders<sub>t </sub>= CSE<sub>t</sub></p>
<p>That is, equity in increased by adding all income, comprehensive income (CI), and reduced by Net Payout to Shareholders which is Dividends + Share Repurchases – Share Issues. This equation is known as the Clean Surplus Equation, clean surplus because all sources of income, comprehensive income, must be included. (GAAP and IFRS typically have two statements for income, the Income Statement and the Other Comprehensive Income Statement totaling to Comprehensive Income, CI).</p>
<p>The diagram then displays the (comprehensive) income statement as giving more detail on how the income was generated:</p>
<p>Revenue<sub>t </sub>‒ Expenses<sub>t</sub></p>
<p>The cash flow statement explains the net payments to shareholders as the remainder from free cash flow generated by the business after paying off the other claimants, usually net debt holders:</p>
<p>Net Payout to Shareholders<sub>t </sub>= Free Cash Flow<sub>t </sub>– Cash to Other Non-equity investors</p>
<p>The balance sheet reports the resulting shareholders’ equity but explains it with assets and liabilities:</p>
<p>CSE<sub>t </sub>= Assets<sub>t </sub>– Liabilities<sub>t </sub></p>
<p>That, of course, is the balance sheet equation.</p>
<p>Note that GAAP and IFRS do not present some of these statements in the same format, something we will have to iron out as we proceed.</p>
<p>Behind all of this, double-entry accounting is working. By increasing shareholders’ equity with income, assets and liabilities must also be affected (double entry) otherwise the balance sheet equation will not hold. An example: In recording revenue (a credit in accounting parlance), an asset, cash or accounts receivable must also be recorded (a debit). These effects of double entry are important when taking accounting to valuation, as later chapters show.</p>
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		<post-id xmlns="com-wordpress:feed-additions:1">1585</post-id>	</item>
		<item>
		<title>Keeping a Book for the Government: Accrual or Cash Accounting?</title>
		<link>https://www.penmanpope4value.com/keeping-a-book-for-the-government-accrual-or-cash-accounting/</link>
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		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Fri, 21 Mar 2025 07:01:24 +0000</pubDate>
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		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=1565</guid>

					<description><![CDATA[Most governments, at the national, provincial, and city levels, maintain a cash book. That is, they report cash inflows from [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Most governments, at the national, provincial, and city levels, maintain a cash book. That is, they report cash inflows from taxes, fees, and assessments and cash outflows for their expenditures, with the difference being the deficit or surplus for a period. There is only one balance sheet account, cash which is decreased by a deficit and increased by a surplus. There are no other assets on a balance sheet, nor are there any liabilities. Thus, there is no shareholders’ equity for the accumulated difference between assets and liabilities.</p>
<p>The shareholders for a government entity are the taxpayers who will be called upon to deal with an accumulated deficit by paying more taxes or by reducing expenditures on services to them. Yet there is no formal accounting for what we, the taxpayers, are up for. True, observers do keep track on paper, with the U.S. government accumulated deficit a horrifying $34 trillion in 2024 and projected to growth more. That calculation just goes into the bottom draw (so to speak). Without the formal accounting, politicians are not held to account, even ignoring the accumulated deficit as both candidates in the 2024 U.S. presidential campaign did. Indeed, they proposed lower taxes and higher expenditures to get votes.</p>
<p>An accumulated cash deficit, even if calculated, is not the whole picture. An accrual balance sheet would give a more complete picture, and so would an accrual income statement. National governments spend much on defense equipment for the security of their citizens in the future…aircraft carriers, submarines, missiles, and much more…but this expenditure goes into the current deficit under the cash accounting. No: these are assets to go on an accrual balance sheet. If accrual accounting were implemented, the reported deficit for the period would be lower. And there are other assets: national parks, government buildings, infrastructure, and more. There is no record of these assets, nor for the depreciation (of infrastructure), so it comes as a surprise that suddenly it is realized that bridges and airports must be replaced or upgraded at significant cost, again reporting cash deficits.</p>
<p>Perhaps the most pernicious problem is failing to keep track of debt on a balance sheet. Many politicians don’t think about it. Some even see debt as revenue! It’s cash coming in! Regular publication of a government balance sheet sent to the shareholders, the taxpayers, might get the thinking straight. Perhaps even an annual meeting…a virtual town hall…where politicians present their (accrual) accounts to shareholder-taxpayers just like the accounts are presented to shareholders at an annual meeting for corporations. That might also bring more sense to voters who now understand what they are up for.</p>
<p>It is a serious matter. The crises that arise from government indebtedness give rise to political extremes. Civilizations fall under the weight of debt. Accrual accounting, please.</p>
<p>Look at the Wikipedia entry on accrual accounting for governments:</p>
<p><a href="https://en.wikipedia.org/wiki/Accrual_accounting_in_the_public_sector#:~:text=Accrual%20accounting%20in%20the%20public%20sector%20is%20a%20method%20to,associated%20cash%20payments%20are%20made" target="_blank" rel="noopener"><u style="word-wrap: break-word;">https://en.wikipedia.org/wiki/Accrual_accounting_in_the_public_sector#:~:text=Accrual%20accounting%20in%20the%20public%20sector%20is%20a%20method%20to,associated%20cash%20payments%20are%20made.</u></a></p>
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		<post-id xmlns="com-wordpress:feed-additions:1">1565</post-id>	</item>
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		<title>Accounting as a Language for Business and for Investing</title>
		<link>https://www.penmanpope4value.com/accounting-as-a-language-for-business-and-for-investing/</link>
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		<dc:creator><![CDATA[Penman &#38; Pope]]></dc:creator>
		<pubDate>Mon, 17 Mar 2025 07:53:33 +0000</pubDate>
				<category><![CDATA[Chapter 1]]></category>
		<guid isPermaLink="false">https://www.penmanpope4value.com/?p=990</guid>

					<description><![CDATA[Accounting is the language of business, the language with which we communicate about business activities, the language by which we [&#8230;]]]></description>
										<content:encoded><![CDATA[<p>Accounting is the language of business, the language with which we communicate about business activities, the language by which we understand what’s going on in a business. Chapter 1 takes it a little further: It is in that language that we track value in a business. We do it formally, keeping an accounting book on value that applies a disciplined syntax in order to communicate.</p>
<p>That book records business activities with double entry: There are two pieces of language given to each business transaction; a sale of a product is recorded as revenue and as an accounts receivable. Speaking out of both sides of the mouth? Double entry gives the accounting book properties which enhance the ability to draw value implications from business activities. You’ll see these coming strikingly to bear as the accounting book is developed as you proceed through chapters.</p>
<p>The importance of double-entry accounting has long been recognized. The quote from Goethe is pertinent:</p>
<p><em>“What advantages does he derive from the system of book-keeping by double entry? It is among the finest inventions of the human mind.&#8221;</em></p>
<p><em>… </em>Goethe, Wilhelm Meister’s Apprentice, Book One (1795)</p>
<p>&nbsp;</p>
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<p style="text-align: left;">To that, add the following accolades to the double-entry system:</p>
<p style="text-align: left;">Adam Smith      <em>a joint in the invisible hand</em></p>
<p style="text-align: left;">Max Weber        <em>precursor to and the consequence of modern capitalism.</em></p>
<p style="text-align: left;">Sombart            <em>promoting capitalism</em></p>
<p style="text-align: left;">Schumpeter      <em>a towering moment</em></p>
<p style="text-align: left;">Carlyle             <em>a </em><em>vein of water flowing hidden underground</em></p>
<p style="text-align: left;">Cayley             <em>one of the two perfect sciences</em></p>
<p>&nbsp;</p>
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<p>For a short tutorial on double entry accounting on YouTube, go to</p>
<div class="ast-oembed-container " style="height: 100%;"><iframe title="Double entry Bookkeeping explained in 10 minutes" width="1333" height="1000" src="https://www.youtube.com/embed/ijPDIy6gXxc?feature=oembed" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" referrerpolicy="strict-origin-when-cross-origin" allowfullscreen></iframe></div>
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<p>The merchants of Venice saw how the double-entry accounting system was so important to their trade. See the following for more:</p>
<p><a href="https://dergipark.org.tr/tr/download/article-file/2661341">https://dergipark.org.tr/tr/download/article-file/2661341</a></p>
<p><a href="https://apcz.umk.pl/CJFA/article/view/45203">https://apcz.umk.pl/CJFA/article/view/45203</a></p>
<p><a href="https://www.jstor.org/stable/43610885">https://www.jstor.org/stable/43610885</a></p>
<p><a href="https://sociology.northwestern.edu/documents/faculty-docs/faculty-research-article/Carruthers-Accounting.pdf">https://sociology.northwestern.edu/documents/faculty-docs/faculty-research-article/Carruthers-Accounting.pdf</a></p>
<p><a href="https://byuaccounting.net/mediawiki/index.php?title=Accounting_Quotes">https://byuaccounting.net/mediawiki/index.php?title=Accounting_Quotes</a></p>
<p><a href="https://blogs.harvard.edu/vrm/2014/09/30/why-bookkeeping-is-actually-cool/">https://blogs.harvard.edu/vrm/2014/09/30/why-bookkeeping-is-actually-cool/</a></p>
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