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The Importance of Interest Rates to Wall Street Analysts!

Tuesday, December 11, 2007 | Jason Jovine

Rating:
•    Note: The Federal Reserve will have its last meeting for 2007 today.  Interest rates currently stand at 4.5% after two consecutive cuts.  Today’s announcement will certainly help give the market direction for the remaining part of this year and into 2008.


Wall Street analysts pay close attention to what the FOMC (the Fed) does when it announces interest rates.  They do so for many reasons, but let me show you directly how they interpret this information and why it is important.


Financial Modeling

A financial model for a Wall Street analyst consists of Excel spreadsheets or some other type of software that can hold a lot of financial data.  This data has all of his or her inputs on a company plugged into the “model” so that he or she can get an accurate view of what  the company is worth.  This is an analyst’s x-ray into the company.


Here is a very small snapshot of a very basic financial model (please click on the image to enlarge it):






Ignore everything in the snapshot above except for that box that I put a red circle around.  That box is entitled “Cost of Equity”.

The formula for cost of equity is K=Rf β*{E (Rm)-Rf}

Where:

K= Cost of Equity
Rf =Risk-free rate of return (e.g. treasury bills or bonds)
β = The stock's Beta (e.g. how sensitive the stock is to the overall market)
E (Rm) = The expected return on the market (e.g. the S&P 500)
{E (Rm)-Rf} = The market risk premium (e.g. Since treasury bills are essentially risk-free because the U.S. government won’t go bankrupt, at least not any time soon, what is the additional risk in percentage terms by being invested in the stock market?)

In our example, K would be equal to 6.12%, since:

K= 4.9 .254*5

Like I said earlier, just focus on what’s in the red circle.  I am trying to keep this example simple.

Now, the cost of equity is directly affected by what happens to interest rates.  As you know, when interest rates rise, fixed income prices (e.g. bonds) go down, and their yield goes up.

Heres why:

Let’s say that you are holding a bond paying you a 3% coupon rate, and interest rates are currently at 3%, as well.  Let’s say interest rates get raised from 3% to 4%.  Your bonds paying you 3% will look less attractive since you can buy new bonds that will pay you at least 4%.  This means that the demand for the 3% bonds will go down, and hence, if their price goes down, their yield will go up.

A 3% coupon on a $1,000 bond on an annual basis equates to $30 per year ($30/$1000) that you will get.

If interest rates go up, and there is less demand for your bond, then the price will fall.  Say it falls to $900 per bond.   A 3% coupon of $30 on $900 is a yield of 3.33 % ($30/$900).  The yield went higher.  Do you follow me?

I know that you hate boring old bonds, so let’s get back to stocks...

When an analyst determines how much a stock is worth, chances are he uses some kind of Dividend Discount Model (DDM).  He may substitute the cash flow or the earnings of the company in place of the dividends, but the concept is still the same.

Here is a very basic constant growth version of one:

Vo=D1/K-G

This constant growth assumes that the growth rate for the company will stay constant for a long while.

Here:

Vo = The price of the stock today

D1 = The dividend a year from today.

K = (see above)

G = The company’s projected growth rate.

So, say that we expect the company to grow at 4% per year, and the company just paid a total dividend of $4.  In one year, we could assume that the dividend will be $4.16 ($4*1.04).

So the price of the stock today would be:

Vo = $4.16/(.0612-.04) = $196.23.

If the stock were trading below this price, then you would buy it, and if it were trading above this price, then you would sell it.

Now let’s say K, which takes interest rates into account, goes up by just 1% to 7.12% from 6.12%.  Look what happens.

Vo = $4.16/(.0712-.04) = $133.33.

The stock went down by almost $63, or about 32%!

Now, do you understand a little bit better why Wall Street freaks out about interest rates?

Until the next time, folks, spend your hard-earned money wisely.



(Please let us know what you think about Jason Jovine's article.)
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Jason Jovine
Contributing Editor
The Tycoon Report


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15 Comments

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  1. Fredrick (1 year ago) Is this Spam?

    I think there was an error. When interest rates fall then the K=Rfr B* (Rm-Rfr)will be smaller hence the final stock price should go up.

    Vo=D1/K-G The denominator will be of less value hence the Vo will be greater. Anyway the article is well done and the point is very clear. Thanks
  2. taqee (1 year ago) Is this Spam?

    Thnk u so much a informative article
  3. vahn (1 year ago) Is this Spam?

    very superb article.



    How can i know Rf, β & E(Rm) current value?

    any source?
  4. Sharon (1 year ago) Is this Spam?

    Hi Jason,

    Good, simple explanation/education on economics and fundamentals.

    Have often heard it said that there are no rich economists. They just barely keep their heads above water.

    Can the same be said for Wall Street Analysts? Apparently so, since the interest rate only dropped to 4.25% and the markets fell big time, guess they were expecting more of a drop.

    Best,

    Sharon
  5. Ethan R (1 year ago) Is this Spam?

    The FED rate cut will do almost nothing to help home sales. I must disagree strongly with my colleague, Thomas, that this rate cut creates the big opportunity. Have you seen the mortgage requirements lately? Demands for much higher FICO scores, money down, and lower debt to income ratios abound. No more Sub Prime, no more Alt A, Interest rate penalties for persons below FICO 650! And on an on...



    JO: Home interest rates don't decline when the FED cuts, because the bond market and in tandem, interest rates, lead the FED moves, and not the other way around. The bond/mortgage markets price in a FED cut during the weeks before the FED meets. They anticipate a certain cut will be made, and respond accordingly if they don't get what is expected, usually by going higher.



    As for the government's bail out of homeowners, the majority of people with the sub prime loans have already either defaulted, or have been late with at least one payment. So it is but a small percentage of people who will be given the rate freeze. And those people likely have at least a 7% interest rate anyway. So this will not stabilize home foreclosures that much.



    And sorry, there is no such thing as a "rare window of opportunity to make big profits in real estate". That sounds like Carlton Sheets! One can always make large profits in real estate, if they know how to tell the difference between a bear market and a stable to good market.



    We must stop believing the media spin.
  6. Ladislav (1 year ago) Is this Spam?

    couple of dumb questions:

    1.) how did you get K=6.12 out of the formula K= 4.9 .254*5? I can't get it right, my result is always K=6.22.

    2.) what is the operation that you perform in your formula K=Rf β*{E (Rm)-Rf} between Rf and β? Is it multiply? I found a CAPM formula on investopedia showing Rf + β*(Rm-Rf)



    thanks
  7. parviz (1 year ago) Is this Spam?

    My fist exposure to these models.Thanks
  8. jester112358 (1 year ago) Is this Spam?

    Just one very silly comment. The US is bankrupt, (i.e. our liabilities exceed our assets)! Our creditors just have not demanded payment yet. And if they ever do, we have the military strength to discourage them from trying to collect.



    Hence, the famous Mao Tse Tong expression, "power grows out of the barrel of a gun" and is one of the reasons communist governments always disarm their citizens upon taking power.



    I realize this has little to do with your stock pricing/interest rate article.
  9. Ken (1 year ago) Is this Spam?

    One more for the financial analysts. Its all beyond me. Accually I'm sure I could understand it, if I really tried, but I'm not all that sure any of its necessary.

    Theres only one reason I'm in this game and thats to make money, not to understand finance or economics or business, its a game of strategy.

    Trading strategies, including money managment, trade managment, understanding options, chart reading, understanding trends and chart patterns. These seem to be the keys to making the really big money. The rest may or may not effect things, but the chances are that if they do effect things and you or I can figure that out, someone else already has, and its already priced into the model.

    Besides this stuff is just plain boring, no fun, nerd in a cubicle work.



    Sorry for the rant, but I have always hated economics and finance. This is just about buying something at one price and selling it at anouther, that simple. The only questions are what to buy and when to buy, how long to hold and when to sell. The money goes to the person who knows when to hold the line and when to make a move.



    Ken
  10. Jo (1 year ago) Is this Spam?

    Excellent article. Now, how about an article explaining why home interest rates don't go down when the Feds cut the rate? And just how LIBOR works.

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