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Cash Flow Analysis — Annual or Monthly?

A reader of one of my books wrote to me recently with a very worthwhile question.  When we build a pro-forma analysis of future cash flows from a real estate investment, why do we annualize those cash flows instead dealing with them on a monthly basis?  After all, rent is typically collected and bills paid monthly.

The quick and facile answer, of course, is because we’ve always done it that way. Back in the day, we didn’t have powerful personal computers and sophisticated real estate software, so one might argue that this annual approach is just a holdover from a golden age that has passed us by.

Then again, there may be some wisdom inherent in this approach. To make monthly estimates of future cash flows requires monthly, rather than annual, estimates of income, expenses and debt service. The task is not impossible, but collecting, organizing, and deploying this amount of data will surely take much greater time and effort, presumably up to twelve times as much. And we all know that time is money.

Is it practical to do this, and if so, is it worth the effort?  It’s important to keep in mind that you’re not performing an accounting function but rather making projections about what’s going to happen in the future. It’s often difficult enough to estimate your annual cost for heating fuel or electricity five years hence. Trying to estimate such costs by the month can be even more problematic and time-consuming.

Assuming that someone else hasn’t already closed on this property while you were playing Hamlet, did you in fact gain any additional insight or advantage as a reward for your extra effort?

A monthly projection of future cash flows substantially increases your “degrees of freedom” in making estimates, so the monthly estimates are not only more difficult to make, but they also provide you with many more opportunities to be wrong. To put it another way, you are just as likely to introduce errors in timing as you are to add precision, thus offsetting at least some if not all of the benefit of your considerable extra effort.

Having said all this, it is also true that a dramatic skewing of cash flow toward the beginning of a year could make a noticeable difference in a particular discounted cash flow calculation. One might feel that is justified to handle such an atypical income stream differently.

For what it’s worth, my opinion is that the conventional wisdom here actually makes sense. Forecasting the future is an imperfect art; in most situations, annualizing the net cash flow is a reasonable compromise with reality and a task of more manageable proportions.

Frank Gallinelli


Making the Case for Your Commercial Refinance

Many of you surely have commercial property loans that are coming up for refinance during 2009.  We have a new article (actually, the first installment of a two-part piece) on realdata.com that we think you’ll find helpful.

In Part One of “Making the Case for Your Commercial Re-Finance,” we tell you what information you must gather before you apply for the loan. We help you understand the loan underwriting process as the lender sees it, and show you how to estimate the maximum amount of financing you can reasonably expect to get.

In Part Two, we’ll demonstrate the process of building a presentation that you can use to make a strong case for your commercial refi.

To view this article, go to realdata.com and click on the “Learn” tab.  You’ll find a link to this and a whole library of articles for investors and developers.


New investment analysis service — and data form

If you subscribe to our e-newsletter, the RealData Dispatch, then you know that we just launched a new service where we will run a property analysis for you, using your data and our software.

All you do is download a questionnaire, fill it in with the particulars about the property you want to evaluate, and email it or fax it back to us. We’ll run your information through the Standard Edition of “Real Estate Investment Analysis” and send the reports back via email.

You can get more details here.

Even if you don’t plan to use the service right now, I’d like to suggest that you download the form. I think you’ll find it to be a helpful guide for collecting data whenever you need to do an investment analysis, whether you’re working with our software or scribbling on the back of an envelope.

And speaking of our newsletter, just one more comment. If you subscribed but haven’t been receiving it, then it’s probably getting stuck in your spam box. It seems to me that spam filters have been getting more aggressive. I know it’s necessary to fight the growing tide, but I’ve been finding more “real” mail getting swept away with the junk.

I would urge that you go to your email program or service and “whitelist” realdata.com. For example, if you’re using Yahoo mail, go to “Options” and add a filter that tells Yahoo to direct anything from realdata.com to your inbox. With Gmail, you go to “Settings” and do the same thing.

That way, our newsletter will reach you. In addition to providing announcements about our products, upgrades, etc., we use the newsletter to tell you when we have new educational content and when we’ve found an online resource that might be valuable to you as as an investor or developer.

If you aren’t already subscribed, you can do so using the form in the right sidebar >>.

Frank Gallinelli
realdata.com


Download sample chapters from my new book, “Mastering Real Estate Investment”

Hello All —

I thought you might like an opportunity to see some sample chapters from my new book, so I’m making two downloads available.

The first section of the book is devoted to 37 key formulas that every real estate investor should understand and know how to use.  One of the most important of these is capitalization rate. 
Chapter 10 discusses cap rate and gives you several examples that you can work through.

The second part of the book provides case studies where I take you step by step through different kinds of property investments.  In Chapter 38 I discuss using a single-family house as a rental property.  This download is a seven-page excerpt from the chapter, which continues with a thorough discussion of the single-family rental.

I hope you find these samples useful, and welcome your comments.

Frank Gallinelli
realdata.com


Is Now the Time To Buy Real Estate for Investment?

“Give me a one-armed economist!”  That’s what Harry Truman said as he grew weary of economic advisors who seemingly could never give a straight-out recommendation without adding, “…but on the other hand….”

I believe serious investors understand that they can succeed in both good economies and in bad. They also know that they may have to adjust their approach to fit the circumstances.   Has anyone seen Warren Buffet hiding under a rock?

Income-producing real estate – that is, rental properties – offer investors an excellent opportunity to build wealth over the long term.  It’s important to understand that the value of a typical income property doesn’t necessarily rise and fall in step with the home market.  Investment properties are bought and sold for their ability to produce net income.  So, if you buy a property at a sensible price relative to its income and you manage it well, you should enjoy a good return over the long term.

Everyone expects their investments to succeed in a hot market, but what about now, when the economy is struggling?  It’s not uncommon to see apartment properties do well at times like this.  When money is tight and it’s difficult for buyers to come up with down payments and to afford mortgage terms, demand for apartments typically rises.

Take a look at the medical office buildings in your market.  Health care doesn’t go out of fashion, and with boomers getting older, there’s a good chance that demand will rise.  Look also at university towns.  The turnover of students and faculty typically translates into high demand.

I’ll say more about these and perhaps some other areas of opportunity in future posts.

And finally, what about that one-armed economist?  Is there a, “…but on the other hand?”  As much as we would like every decision to be unambiguous, all investments involve risk.  Otherwise there would be no reward.  So what are the caution flags?

First, remember that all real estate is local.  Your local job market, for example, may be atypically strong, with new employers moving in; or especially weak, with important job sources shutting down.  View all generalities through the prism of your local market.

Remember that cash is king, especially in a weak economy.  It’s all right to try to acquire a property using as little of your own cash as possible (provided, of course, that the deal works on those terms).  But there’s a big difference between using very little cash and having very little cash.  If you have nothing in reserve to fall back on, the risk of a highly leveraged investment may be greater than you can deal with.

This may not be the time to buy with no cash and flip for a profit tomorrow, but it can be an excellent time to buy for the long term.  Do your homework, run the numbers, and prosper.


My latest: Mastering Real Estate Investment

I’m hoping that, by now, you’ve heard I have a new book out: “Mastering Real Estate Investment: Examples, Metrics and Case Studies.” It was released just a few weeks ago, and like any proud author I’m pleased to say it’s doing well.

And so…  what’s it’s all about?  An why did I think anyone would read it?

I’d probably describe it best as being two books in one.  Quite a few readers of my first book, “What Every Real Estate Investor Needs to Know About Cash Flow…,” told me they wanted to see more examples of the 37 key calculations I discussed there. That’s an entirely reasonable request; most of us learn better from examples.

So, I began with the idea of creating a workbook of sorts.  For each of my 37 metrics I created a series of sample problems that the reader could work through.  And, of course, I provided the step-by-solution for every problem.

I would humbly submit (all right, maybe not so humbly) that this was a good idea, because to master anything you have to roll up your sleeves and get involved with it.  You can’t just read about these concepts, you have to practice them if you expect to internalize them as part of your approach to investing.  And that, by the way, is how “Mastering” got into the title.

It’s one thing to master these concepts, but it’s yet another to understand how to integrate them and apply them — and that’s why I wrote the second part of the book, the case studies.  I took four different type of properties — a single-family rental, a development project, and apartment building, and a commercial property.

What I tried to do here was to take real-life situations, where you have to deal with asking prices that may be realistic or not; where you encounter seller representations that may be accurate or not; where you have to make judgments and forecasts using imperfect current knowledge.

One of my goals in this part of the book was to show you how to play, “What if…” with your forecasts so as to give you a sense of the range of possible outcomes for your investment if things like rent projections, interest rates, resale costs varied.  Also, in a departure from some of my usual topics, I tried to show how to look at a re-hab project — specifically, how to estimate an appropriate price for a property that you plan to re-develop into an income-producing investment.

Part 2 of the book can stand on its own, so if you’re comfortable with concepts like NOI, cap rate, discounted cash flow and IRR, go ahead an read this part first.

You’ll find more about this book, and my others, here.


Welcome, Real Estate Investors and Developers

… to RealData’s blog. You probably know that we’ve always tried to provide a lot of useful content on this site, with educational articles, newsletters, and the like.  We want this blog to be a logical extension of that mission, but we also want it to be a place for more informal discussion.

This is a place that welcomes beginners, experience investors, and real estate professionals alike.  If a topic is pertinent and meaningful to you as a real estate investor, developer, appraiser, consultant, or educator, then it belongs in this blog.

So we may talk about where we think the real estate market is headed.  We’ll certainly discuss  nuts-and-bolts topics, like, “What exactly is a profitability index?” and “What’s a back-door approach and when do you use it?”

We want to tell you about useful resources as soon as we discover them (and so you won’t have to wait for our not-so-rigorously scheduled newsletter).  We definitely will talk about technology.  Do you know about the hidden gotchas lurking in Excel 2007?  And there are plenty of useful tips we can give you about using our RealData software to best advantage.

We’ll do our best to keep the conga line moving, but urge you to jump in with your comments.

Welcome aboard.


Stirring the Alphabet Soup of Real Estate Investing, Part 1

UPDATE: I’ve re-written this multi-part blog post and it’s now available in a convenient “flip book,” readable in your browser:

5 Metrics Every Real Estate Investor Needs to Know

 

PV, NPV, DCF, PI, IRR–It may seem like a witch’s brew of random letters, but truly, it’s just real estate investing. You can handle it. Any or all of these measures can be useful to you, if you understand what they mean and when to use them.

NPV – Net Present Value

NPV, or Net Present Value, is connected to what all good real estate investors and appraisers do, namely discounted cash flow analysis (aka DCF, if you’d like some more initials).

Discounted Cash Flow is a pretty straightforward undertaking. You project the cash flows that you think your investment property will achieve over the next 5, 10, even 20 years. Then you pause to remind yourself that money received in the future is less valuable than money received in the present. So, you discount each of those future cash flows by a rate equal to the “opportunity cost” of your capital investment. The opportunity cost is the rate you might have earned on your money if you didn’t spend it to buy this particular property.

Consider this example, where you invest $300,000 in cash to earn the
following cash flows:

Year 1 Cash Flow:
10,000
Year 2 Cash Flow:
20,000
Year 3 Cash Flow:
25,000
Year 4 Cash Flow:
30,000
Year 5 Cash Flow:
385,000
(includes the proceeds of sale)

If you discount each of these cash flows at 10%, then add up their discounted values, you’ll get 303,948:

Year 1, Discounted:
9,091
Year 1, Discounted:
16,529
Year 1, Discounted:
18,783
Year 1, Discounted:
20,490
Year 1, Discounted:
239,055
Total PV of Cash Flows:
303,948

Now you have the Present Value of all the future cash flows. However, you also had a cash flow when you initially purchased the property (call that Day 1 or Year 0) – a cash outflow of $300,000, your initial investment. To get the Net Present Value, you find the difference between the discounted value of the future cash flows (303,948) and what you paid to get those cash flows (300,000).

NPV = PV of future Cash Flows less Initial Investment
NPV = 303,948 – 300,000 = 3,948

What does that mean to you as an investor? If the NPV is positive, it suggests that the investment may be a good one. That’s because a positive NPV means the property’s rate of return is greater than the rate you identified as your opportunity cost. The more positive it is in relation to the initial investment, the more inclined you’ll be to look favorably on this investment. Your result here is not stellar, but it is at least positive.

If the NPV is negative, the property returns at a rate that is less than your opportunity cost, so you should probably reject this investment and put your money elsewhere.

That’s all fine, to the extent that you’re confident about that discount rate, your opportunity rate. You estimated 10% in the example above. What if you adjust that estimate by one-half of one percent either way?

NPV @ 9.5%
= 10,284
NPV @ 10.0%
= 3,948
NPV @ 10.5%
= (2,244)

How about one full percent?

NPV @ 9.0%
= 16,789
NPV @ 10.0%
= 3,948
NPV @ 11.0%
= (8,238)

Clearly, the NPV here is very sensitive to changes in the discount rate. If you revise your thinking just slightly about the appropriate discount rate, then the conclusion you draw may likewise need to be revised. As little as a half-point difference could change your attitude from luke-warm to hot or cold. The prudent investor will test a range of reasonable discount rates to get a sense of the range of possible results.

While we’re beating up on NPV, let’s also note that it doesn’t do you much good if your goal is to compare alternative investments. To have some kind of meaningful comparison, you need at least to keep the holding period for both properties the same. But what if one property requires that $300,000 cash investment, but the alternative investment requires $400,000?

PI – Profitability Index

Fortunately, NPV has a cousin that can help you with that problem: Profitability Index. While the NPV is the difference between the Present Value of future cash flows and the amount you invested to acquire them, Profitability Index is the ratio. It doesn’t tell you the number of dollars; it tells you how big the return is in proportion to the size of the  investment.

So where the NPV in the example above was equal to 303,948 minus 300,000, the Profitability Index looks like this:

PI = 303,948 / 300,000 = 1.013

If, quite improbably, you expected exactly the same cash flows from the property that required a 400,000 investment, you would expect your Profitability Index to be much worse, and it is.

PI = 303,948 /400,000: = 0.760

A Profitability Index of exactly 1.00 means the same as an NPV of zero. You’re looking at two identical amounts, in one case divided by each other so they give a result of 1.00 and in the other case subtracted one from the other, equaling zero.

An Index greater than 1.00 is a good thing, the investment is expected to be profitable; an Index less than 1.00 is a loser. When you compare two investments, you expect the one with the greater Index to show the greater profit.

Learn more about real estate investing metrics in my free flipbook, 5 Metrics Every Real Estate Investor Needs to Know

—Frank Gallinelli

####

Your time and your investment capital are too valuable to risk on a do-it-yourself investment spreadsheet. For more than 30 years, RealData has provided the best and most reliable real estate investment software to help you make intelligent investment decisions and to create presentations you can confidently show to lenders, clients, and equity partners. Learn more at www.realdata.com.

Copyright 2008, 2014, 2017, 2021  Frank Gallinelli and RealData® Inc. All Rights Reserved

The information presented in this article represents the opinions of the author and does not necessarily reflect the opinions of RealData® Inc. The material contained in articles that appear on realdata.com is not intended to provide legal, tax or other professional advice or to substitute for proper professional advice and/or due diligence. We urge you to consult an attorney, CPA or other appropriate professional before taking any action in regard to matters discussed in any article or posting. The posting of any article and of any link back to the author and/or the author’s company does not constitute an endorsement or recommendation of the author’s products or services.

 


The Mortgage is Due, but Nobody’s Home – What You Should Know about Vacancy and Credit Loss

In an earlier article, Understanding Net Operating Income, I made a passing reference to an allowance for vacancy and credit loss. This allowance is one of the line items that ultimately lead to figuring a property’s Net Operating Income, a key metric of income-property investing. NOI as you will surely recall (read the article and also Understanding Cap Rates if you don’t) is at the heart of estimating the value of an income property, so anything that contributes to getting that number right deserves more than just an offhand comment.

The math surrounding vacancy and credit loss allowance is certainly simple enough. You start with your top line – Gross Scheduled Income – which represents a perfect-world situation where all units in your property are rented and all your tenants pay on time with good checks. From that you subtract an allowance to account for the warts of an imperfect world, in this case the potential rent that may be lost to vacancy and the revenue lost due to the failure of tenants to pay. Typically you will estimate the allowance as a percentage of the Gross Scheduled Income.

The result is called the Gross Operating Income (also known as Effective Gross Income). From that subtract the property’s operating expenses and the result is the Net Operating Income, the number you will capitalize in order to estimate the property’s value. An example should make this easy to see:

one
In this example you’ve assumed that about 3% of your potential income will be lost to vacancy and credit. As you examine this table, you’ll recognize that the greater the vacancy and credit loss, the lower the NOI and hence the lower the value of the property. There’s a lesson here, of course. The vacancy and credit loss projections you make, for the current year and for the future, are going to have a direct impact on your estimate of the property’s value. If you’re careless about these projections you risk skewing that estimate of value.

Vacancy Loss

Behind the numbers are some truisms that you want to keep in mind. The first, of course, is that vacancy and credit loss are generally unwelcome. Loss is loss. However, experienced investors will usually not fall on their swords at the first sign of an empty unit. Conventional wisdom among veterans is, “If you never experience a vacancy, your rents are too low.” I’ve never seen anyone break out the champagne upon learning of a vacancy, but there is some merit in this seemingly self-delusional chestnut. One certain way to find the top of the market is to push past it. When you reach a rate where you no longer can find tenants in a reasonable amount of time, you can pull back. The vacancy you experience will cost you something, but you’ll be sustained by your expectation that the loss will be offset by the higher revenue you can earn by maximizing your rent.

Another reality to keep in mind is that not all vacancy allowances are created equal. In general, commercial space takes longer to rent than does residential and larger spaces take longer to rent than smaller. If you have a large retail space whose lease is coming up for renewal, it might not be unreasonable to allot six months or more of rent as a potential vacancy loss. At the other extreme, a properly priced studio apartment should rent quickly in most markets, so a minimal allowance would suffice.

When making projections about future vacancy, start by looking backward. How quickly has new space been absorbed in the past? Then look forward and consider what might change. What is the likelihood of new, competing space being built? Are there reasons to expect demand to rise or fall – reasons such as new employers moving in or established businesses moving out?

Remember that your objective is to forecast as accurately as possible how this property will perform for you in the future. You can and should look at best-case, worst-case and most-likely scenarios for vacancy just as you would for income and expenses, and don’t try to convince yourself that only the best case is real.

Credit Loss

Avoiding credit loss is a problem you get one shot at solving, and that shot occurs before you sign the lease. Would you sell me your used car in exchange for an I.O.U. or a personal check? You would expect cash or a bank draft. Why would you turn over an even more valuable asset, your rental property, without similar caution? That caution, at minimum, takes the form of a credit check and some good faith money up front in the form of security deposit and advance rent.

There are numerous companies online with whom you can establish an account for checking an applicant’s credit history. Any reputable source of credit reports will expect you to provide proof of your identity and to present written authorization from the prospective tenant to obtain the report. The simplest way to accomplish the latter is to include that authorization as part of the signed rental application. A landlord association often can help you gain access to a reliable source of credit reporting.

Credit losses are a part of doing business and you’re not likely to succeed in eliminating them completely. Your best single defense against is to establish minimum acceptable credit standards and then resist the temptation to trust your instincts and make exceptions. Everyone has a dog-ate-my-homework explanation for poor credit history. Some of the stories are probably true. Nonetheless, the single best predictor of a collection problem is past history. If he didn’t pay his cell phone bill, he probably won’t pay you either.

Some investor’s simply ignore vacancy and credit loss when making their cash flow projections. You might want to call that the emperor’s-new-clothes approach, where you see what you want to see and pretend you don’t notice what’s missing. That’s not much of an investment strategy and it won’t work for very long – reality has a habit of happening whether you plan for it or not. The more prudent investor will do his or her best to minimize these losses, but at the same time work with projections that are realistic.

 

Copyright 2005, 2010 RealData® Inc. All Rights Reserved

The information presented in this article represents the opinions of the author and does not necessarily reflect the opinions of RealData® Inc. The material contained in articles that appear on realdata.com is not intended to provide legal, tax or other professional advice or to substitute for proper professional advice and/or due diligence. We urge you to consult an attorney, CPA or other appropriate professional before taking any action in regard to matters discussed in any article or posting. The posting of any article and of any link back to the author and/or the author’s company does not constitute an endorsement or recommendation of the author’s products or services.
You may not reproduce, distribute, or transmit any of the materials at this site without the express written permission of RealData® Inc. or other copyright holders. The content of web sites displayed or linked from the realdata.com is the copyrighted material of those respective sites.


Estimating the Value of a Real Estate Investment Using Cap Rate

Why do you invest in income-producing real estate? Perhaps you are looking for cash flow. Possibly you anticipate some tax benefits. Almost certainly, you expect to realize a capital gain, selling the property at some future time for a profit.

Your projection of the future worth of the property, therefore, can be a vital element in your investment decision.

APPRECIATION

A fairly simple approach to this issue is the use of an appreciation rate. You bought the property today for X dollars. You make a conservative estimate as to the rate of appreciation, apply that rate to your original cost and improvements and come up with presumed future value.

The use of appreciation as a predictor of future value typically makes sense when the desirability of the subject property is based on something other than its rental income. The most common example, of course, is the single-family residence. Consider also a single-user rental property such as a small retail building on a main thoroughfare. The owner of a business operating as a tenant in such a location is probably willing to spend more for the building than an investor would pay. In general, rate of appreciation as a predictor of future value may be appropriate when comparable sales work well as a measure of present value (i.e., “Commercial buildings on Main Street are selling for $200 per square foot by next year they will be up to $225.”).

INCOME CAPITALIZATION

With most other types of income-producing real estate, what you paid for the property is not likely to make much of an impression on a new buyer. Witness the rapid run-up and even faster collapse of prices in the late ‘80s, and again in 2008. The typical investor will be interested in the income that the property can generate now and into the future. He or she is not buying a building, but rather its income stream.

That investor is likely to use capitalization of income as one method of estimating value. You have probably heard this referred to as a “Cap Rate” method. It assumes that an investment property’s value bears a direct relation to the property’s ability to throw off net income.

Mathematically, a property’s simple capitalization rate is the ratio between its net operating income (NOI) and its present value:

Cap. Rate = NOI/Present Value

Net operating income is the gross scheduled income less vacancy and credit loss and less operating expenses. Mortgage payments and depreciation are not considered operating expenses, so the NOI is essentially the net income that you might realize if you bought the property for all cash. If you purchase a property for $100,000 and have a NOI of $10,000, then your simple capitalization rate is 10%.

To use capitalization to predict value requires just a transposition of the formula:

Present Value = NOI/Cap. Rate

The projected value in any given year is equal to the expected NOI divided by the investor’s required capitalization rate.

To use capitalization rate as a predictor of future value, in short, is to use this logic: “I am buying this property with the expectation that its net operating income will represent a return on my investment. It is reasonable to assume that whoever buys the property from me in the future will have a similar expectation. That new investor will probably be willing to purchase the property at a price that allows it to yield his or her desired rate of return (i.e., capitalization rate).”

If you project that the property will yield a NOI of $27,000, and that a new buyer will require a 9% rate of return (capitalization rate), then you will estimate a resale price of $300,000.

You must never forget that, while the algebra involved here is simple, the judgments you need to make in order to achieve an accurate prediction of value are more complex. Your assumptions as to future years’ income and expenses have to be realistic.

The same is true of your estimate of a new buyer’s required cap rate. Look at the investment from the new buyer’s point of view and remember that there are other opportunities competing for his dollar. Would you buy an office building with a projected cap rate of 9% if you could buy a bond that yields 7%? What if mutual funds are rocking and rolling at 15% and more? To attract a buyer, your property may need to be priced so that its cap rate is competitive with alternative investment options. The higher the cap rate, the lower the price. In our example above, the property with the $27,000 NOI capitalized at 12% might attract an offer of $225,000.

Our discussion here has been limited to simple or “market” capitalization rates. If you would like to delve further into this topic you may want to look into “band of investment” or derived cap rates. In addition, follow our blog as we go into greater depth as to how investors look at a property’s projected long-term income stream when deciding if and on what terms to purchase an income property.

—Frank Gallinelli

####

Your time and your investment capital are too valuable to risk on a do-it-yourself investment spreadsheet. For more than 30 years, RealData has provided the best and most reliable real estate investment software to help you make intelligent investment decisions and to create presentations you can confidently show to lenders, clients, and equity partners. Learn more at www.realdata.com.

Copyright 2005, 2014,  Frank Gallinelli and RealData® Inc. All Rights Reserved

The information presented in this article represents the opinions of the author and does not necessarily reflect the opinions of RealData® Inc. The material contained in articles that appear on realdata.com is not intended to provide legal, tax or other professional advice or to substitute for proper professional advice and/or due diligence. We urge you to consult an attorney, CPA or other appropriate professional before taking any action in regard to matters discussed in any article or posting. The posting of any article and of any link back to the author and/or the author’s company does not constitute an endorsement or recommendation of the author’s products or services.

 

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