Submitted by Keith Weiner of 'Gold
and Silver and Money and Credit' blog
I have written other pieces on the topic of fractional reserve banking (http://keithweiner.posterous.com/61391483
and http://keithweiner.posterous.com/fractional-reserve-is-not-the-problem)
duration mismatch, which is when someone borrows short-term money to lend
long-term and how falling interest rates actually encourages duration mismatch
(http://keithweiner.posterous.com/falling-interest-rates-and-duration-mis...).
Falling interest rates are a feature of our current monetary regime,
so central that any look at a graph of 10-year Treasury yields shows that it is
a ratchet (and a racket, but that is a topic for another day!). There are
corrections, but over 31 years the rate of interest has been falling too
steadily and for too long to be the product of random chance. It is a
salient, if not the central fact, of life in the irredeemable US dollar system,
as I have written (http://keithweiner.posterous.com/irredeemable-paper-money-feature-451).
Here is a graph of the interest rate on the 10-year US Treasury bond.
The graph begins in the second half of July 1981. This was the peak of the
parabolic rise interest rates, with the rate at around 16%. Today, the
rate is 1.6%.
Professor Antal Fekete introduced the proposition that a falling interest
rate (as opposed to a low and stable rate) causes capital destruction.
But all other economists, commentators, and observers miss the point. It
is no less a phenomenon for being unseen. In early 2008, a question was
left begging:
how could a company like Bear Stearns which had
strong and growing net income
collapse so suddenly?
Here is Bear’s five-year net income and total shareholder’s equity
| Year |
2003 |
2004 |
2005 |
2006 |
2007 |
| Income |
$1.156B |
$1.345B |
$1.462B |
$2.054B |
$0.233 |
| Equity |
$7.47B |
$8.99B |
$10.8B |
$12.1B |
$11.8B |
Isn’t that odd? Even in 2007, Bear shows a profit. And they show
robust growth in shareholder equity, with only a minor setback in 2007.
And yet, by early 2008 Bear experienced what I will call Sudden Capital
Death Syndrome. JP Morgan bought them on Mar 16, for just over $1B.
But the deal hinged on the Fed taking on $29B of Bear’s liabilities, so the
real enterprise value was closer to $-19B.
Obviously, Bear’s reported “profit” was not real. And neither was
their “shareholder’s equity”. I think it something much more serious than
just a simple case of fraud. Simple fraud could not explain why almost
the entire banking industry ran out of capital at the same time, after years of
reporting good earnings and paying dividends and bonuses to management.
Also, other prominent companies were going bankrupt in 2008 and 2009 as
well. These included Nortel Networks, General Growth Partners, AIG, two
big automakers.
I place the blame for Sudden Capital Death Syndrome on falling interest
rates. The key to understanding this is to look at a bond as a
security. This security has a market price that can go up and down.
It is not controversial to say that when the rate of interest falls, the price
of a bond rises. This is a simple and rigid mathematical relationship,
like a teeter-totter.
A bond issuer is short a bond. Unlike a homeowner who takes out a
mortgage on his house, a bond issuer cannot simply “refinance”. If it
wants to pay off the debt, it must buy the bonds back in the market, at the
current market price.
Let’s repeat that. Anyone who issues a bond is short a security and
that security
can go up in price as well as go down in price.
Everyone understands that if a bond goes up, the bondholder gets a capital
gain. This is not controversial at all. Nor is it controversial to
say that there are two sides to every trade. And yet it is highly
controversial—to the point of being rejected with scorn—that the other side of
the trade from the bondholder incurs the capital loss. It is the bond
issuer’s capital that flows to the bondholder. To reject this is to say
that money grows on trees.
We won’t explore that any further; money does not grow on trees!
Instead, we will look at this phenomenon of the capital loss of the bond issuer
from several angles: (1) Hold Until Maturity; (2) Mark to Market; (3) Two
Borrowers, Same Amount; (4) Two Borrowers, Different Amounts; (5) Net Present
Value; (6) Capitalizing an Income; (7) Amortization of Plant; and (8) Real
Meaning of an Interest Rate.
Hold Until Maturity
There is an argument that the bond issuer can just keep paying until
maturity. While that may be true in some circumstances, it misses the
point. When one enters into a position in a financial market, one must
mark one’s losses as they occur, no matter than one may intend to hold the
position until maturity. How would a broker respond in the case of a
client who shorted a stock and the stock rose in price subsequently?
Would the broker demand that the client post more margin? Or would the
broker be sympathetic if the client explained how the company had poor
prospects and that the client intended to hold the short position until the
company’s share price reflected the truth?
Mark to Market
The guiding principle of accounting is that it must paint an accurate and
conservative picture of the current state of one’s finances. It is not
the consideration of the accountant that things may improve. If things
improve, then in the future the financial statement will look better! In
the meantime, the standard in accounting (notwithstanding the outrageous FASB
decision in 2009 to suspend “mark to market”) is to mark assets at the lower
of: (A) the original acquisition price, or (B) the current market price.
There ought to be a corresponding rule for liabilities: mark liabilities at
the higher of (A) original sale price, or (B) current market price.
Unfortunately, the field of accounting developed its principles in an era where
a fall in the rate of interest from 16% to 1.6% would have been
inconceivable. And so today, liabilities are not marked up as the rate of
interest falls down.
Refusing to put ink on paper does not change the reality, however.
Closing one’s eyes does not prevent one from falling into a pit on the path in
front of one’s feet. The capital loss is very real, as we will explore
further below.
Two Borrowers, Same
Amount
Let’s look at two hypothetical companies in the same industry, pencil
manufacturing. Smithwick Pen sells a 20-year $10M bond at 8%
interest. It uses the proceeds to buy pencil-manufacturing
equipment. To fully amortize the $10M over 20 years, Smithwick must pay
$83,644 per month.
The rate of interest now falls to half its previous rate. Barnaby
Crayon sells a 20-year $10M bond at 4%. Barnaby buys the same equipment
as Smithwick and becomes Smithwick’s competitor. Barnaby pays $60,598 per
month to amortize the same $10M debt. Is it correct to say that both
companies have identical balance sheets? Obviously Barnaby will have a
better income statement. This is because it has a superior capital
position, and this should be reflected on the balance sheets. It
certainly is not because of its superior product, management, or marketing.
Let’s look at this from the perspective of the capital position: the present
value of a stream of payments. Obviously, at 4% interest the monthly
payment of $60,598 has a present value of $10M (otherwise we made a mistake in
the math somewhere). But what is the value of an $83,644 monthly payment
at the new, lower rate of 4%? It is $13.8M. Smithwick’s has just
experienced the erosion of $3.8M of capital! This is reflected in
reality, by the uncontroversial statement that it has a permanent competitive
disadvantage compared to Barnaby. Barnaby can undercut Smithwick and set
prices wherever it wishes. Smithwick is helpless. Most likely,
Barnaby will eke out a subsistence living, until the rate of interest falls
further. When Cromwell Writing Instruments borrows money at 2%, then
Smithwick will be put out of its misery. And Barnaby will be forced into
the untenable position it had previously placed Smithwick.
It should be noted that the longer the bond maturity, the bigger this
problem becomes. For example, if this were a 30-year bond, then Smithwick
would take a $5.4M hit to its capital if interest rates were 8% when it issued
the bond and then fell to 4%.
Two Borrowers,
Different Amounts
This is not the only way that a competitor can exploit the capital loss of a
company who made the mistake of borrowing at a too-high interest rate.
Let’s look at the case of Poddy Hoddy Hotel and Casino. Poddy sells a
20-year $100M bond at 8%, and has a monthly payment of $836K. It builds a
nice hotel and casino with bars, a restaurant, a pool, and a few jewelry
stores.
A short while later, Xtreme Hotels sells a $138M bond at 4%, and has the
same monthly payments. The extra $38M goes into a second pool with a
swim-up bar, another restaurant that is themed based on the Galapagos Islands,
bigger and more opulent retail stores, and a spiral glass elevator to take
guests up to their rooms while enjoying the breathtaking 270-degree views of
the city.
Which hotel will consumers prefer?
The Poddy Hoddy Hotel may have been planned based on accurate market
research that showed real demand for such a hotel in that location.
Unfortunately, the falling interest rate has undermined it. Its investors
will likely lose money.
The Xtreme Hotel, on the other hand, is probably a mal-investment. It
is likely a project for which there is no real demand. But the falling
interest rate gives a false signal to the entrepreneur to build it. Of
course, the Xtreme won’t be the one to experience Sudden Capital Death Syndrome
first. That fate will befall Poddy. Xtreme’s turn will come later,
at a lower interest rate.
With Smithwick, one might argue that it can pay off its bond in the 20 years
it originally expected, so it has not experienced a loss. But in fact,
there is a loss even from this angle. Smithwick is paying off its 8% bond
at $83,644 per month. But the rate of interest is now 4%, which should be
a payment of $60,598. The accurate way to look at this is that Smithwick
is paying off a market-rate bond plus a penalty of $23,046 for every month
remaining before the bond is fully amortized.
With Poddy Hoddy, one might similarly argue that it can pay off its bond as
planned, so it has not taken a loss. But the loss here is even
clearer. By borrowing $100M at a rate that was too high, it has
effectively dissipated the extra $38M that its competitor, Xtreme, put to good
use. It will pay for this waste every month for 20 years (or until it
goes bankrupt).
By not marking the losses at Smithwick and Poddy, the accountants are not
doing these companies or their investors any favors. In the short run,
these companies may declare “profits” and based on that pay dividends to
investors and bonuses to management. But sooner or later, they will meet
Barnaby and Xtreme who will deal the coup de grace of Sudden Capital Death
Syndrome.
Net Present Value
As alluded above, one can calculate the Net Present Value (NPV) of a stream
of payments. First, let’s look at the formula to calculate the present
value of a single payment is:

It should be obvious that the present value of a payment is lower the
farther into the future it is to be made. One does not value a payment
due in 2042 the same as a payment to be made next year. What is not so
glaring is that the value is lower for higher rates of interest. A $1000
payment due next year is worth $909 if the rate of interest is 10%, but $990 at
1%. This difference is amplified due to compounding. At 10 years,
the payment is worth $385 at 10% versus $905 at 1%.
The NPV of a stream of payments is the sum of the value of each
payment. The value of a $1000 payment made annually for 20 years is $9818
at 8% interest. That same payment at 4% has an NPV of $13,590, a 38%
increase.
It is important to emphasize that while the bond issuer’s monthly payment is
fixed based on the amount of capital raised and the interest rate at the time,
the NPV of its liability must be calculated at the current rate of
interest. The market (and the universe) does not know nor care what bond
issuer’s entry point was.
Objectively, all streams of payments of
$1000 per month have the same value at a given maturity and current interest
rate, regardless of the original rate.
Capitalizing an
Income
Let’s look at this from yet another angle. An income can be
capitalized, and the purpose of capital is to produce an income.
Professor Antal Fekete wrote
[3]:
“Suppose you are a worker taking home $50,000 a
year in wages. When your income-flow is capitalized at the current rate of
interest of, say, 5 percent, you arrive at the figure of $1,000,000. The sum of
one million dollars or its equivalent in physical capital must exist somewhere,
in some form, the yield of which will continue paying your wages. Capital has
been accumulated and turned into plant and equipment to support you at work.
Part of your employer’s capital is the wage fund that backs your employment.
Assuming, of course, that no one is allowed to tamper with the rate of
interest.” [Emphasis in the original]
“Suppose for the sake of argument that the rate
of interest is cut in half to 2½ percent. Nothing could be clearer than the
fact that the $1,000,000 wage fund is no longer adequate to support your
payroll, as its annual yield has been reduced to $25,000. This can be described
by saying that every time the rate of interest is cut by half, capital is being
destroyed, wiping out half of the wage fund. Unless compensation is made by
adding more capital, your employment is no longer supported by a full slate of
capital as before. Since productivity is nothing but the result of combining
labor and capital, the productivity of your job has been impaired. You are in
danger of being laid off ? or forced to take a wage cut of $25,000.”
Without capital, human productivity is barely enough to produce a
subsistence living. Without tools, one is obliged to work long hours at
back-breaking tasks in order to have a meager meal, some sort of clothing, and
something to keep the rain off one’s head. Capital destruction is the
process of moving backwards towards a time where one worked harder to obtain
less.
As described earlier, when the rate of interest falls, it erodes the capital
of every bond issuer. If one looks at this capital as being the wage fund
(or part of it is the wage fund), then the bond issuer can no longer afford to
pay its employees the same wage. If it does continue the same wage
anyway, it will eventually suffer the consequences of running out of capital.
Amortization of
Plant
Now let’s consider the concept of amortizing equipment and plant at
Smithwick Pen. Smithwick borrows $10M to buy equipment. Out of its
revenues, it must set aside something to amortize this over the useful life of
the equipment, which is 20 years in our example. This set-aside reduces
net income; it is not profit but capital maintenance assuming the company
intends to remain in business after the current generation of equipment and
plant wears out.
How much should it set aside every month? This is the inverse of the
NPV calculation. We are now interested in the current monthly payment to
arrive at a fixed sum at a future point in time (as opposed to the present
value of a stream of fixed payments). The lower the rate of interest, the
more Smithwick must set aside every month in order to reach the goal by the
deadline. To understand this, just look at what Smithwick must do.
Each month, it puts some money into an interest-bearing account or bond.
Even if it chooses the longest possible maturity for each payment (i.e. the
first payment is put into a 20-year bond, the next into a 19-year 11-month
bond, etc.) it is clear that if interest rates are falling then each payment
must increase to compensate. Smithwick’s profits are falling with the
rate of interest!
If Smithwick persists in setting aside every month what it initially
calculated when it purchased the pencil-making equipment, it will have a
shortfall at the end, when it needs to replace the equipment.
Real Meaning of an
Interest Rate
Let’s consider what it really means to have a high or a low rate of
interest. I propose to do
reductio ad absurdum. We will
look at two cases (which would be pathological if they occurred) to make the
point clearer.
The first case is if the rate of interest is 100%. This means that a
$1000 payment one year from today is worth ½ of the nominal value, or $500
today. A payment due in two years is worth $250 today, etc. At this
rate of interest, for whatever reason, “future money” is worth very little
present money. In other words, the burden experienced by the debtor is a
small fraction of the nominal value of the debt.
The second case is if the rate of interest is zero. This means that a
$1000 payment due one year from today or 100 years from today is worth $1000
today. At this rate of interest, for whatever reason, future money is
worth every penny of its nominal value today. There is no discount at
all, not for the loss of use of the money in the meantime, not for the risk,
not for currency debasement. In other words, the burden experienced by the
debtor is the full nominal value of the debt.
Again, to emphasize, one must use the current market rate of interest
not
the rate of interest contracted by the borrower at the time of the bond
issuance.
The lower the rate of interest, the more highly one values a future
payment. The higher the rate of interest, the more highly one discounts a
future payment. These statements are true whether one is the payer or the
payee. The payer and payee are just parties on opposite sides of the same
trade.
Irving Fisher, writing about falling prices (I shall address the connection
between falling prices and falling interest rates in a forthcoming paper)
proposed a paradox
[4]:
“The more the debtors pay, the more they owe.”
Debtors slowly pay down their debts and reduce the principle owed.
This would reduce the NPV of their debts in a normal environment. But in a
falling-interest-rate environment, the NPV of outstanding debt is rising due to
the falling interest rate at a pace much faster than it is falling due to
debtors’ payments. The debtors are on a treadmill and they are going
backwards at an accelerating rate.
How
apropos is Fisher’s eloquent sentence summarizing the problem!