Evangelos F. Magirou
Keywords:
maritime economics; risk; private equity; shipping finance
The Greek island of Andros has a reputation as the home of several ship owning families dating back to the 17th century, when the island was part of the Ottoman Empire. A popularization of its early maritime history is found in the album The Sailing Ships of Andros [Polemis 1990], published by the Kaireios Library, a cultural foundation located in its capital Chora.1The album was the work of the dedicated historian and shipowner Dimitri Polemis.2 It consists of photographs of original paintings of sailing ships from Andros, between 1700 and 1890, preceded by an introductory chapter that summarizes the history of the sailing ship business in Andros from Ottoman Empire period (1750-1821) until the end of the sailing ship era (1900).
An intriguing part of this Introductory Chapter --henceforth referred to as the Introduction-- is an analysis of a Notebook (Tefteri) of the late 18th - early 19th century ship owner Captain Hatzi Antoni Markouli - Loucas. The Notebook reports in great detail the workings of a single vessel enterprise, its original and subsequent financing, its construction, as well as the profits from its operation until its sinking a few years later.
This paper reexamines in a more quantitative way Polemis' analysis of Hatzi Antoni Markoulis ill fated enterprise, assesses the validity of his conclusions and points out some topics of importance for the maritime history of the period.
According to Harlaftis [1996] the Greek maritime activities from the 15th to the 18th centuries remain a topic that needs invstigation. It is stated there that Greek privateers appeared in the eighteenth century during the Russo-Turkish war and that ``some Cycladic islands such as Milos, Kimolos and Myconos owed their prosperity to special ralations with pirates.'' It is remarkable that Andros, a major shipping island is not among the Cycladic islands with established ties with piracy, probably because Andros was a relatively richer island having important citrus and silk production.
Polemis states in the Intoduction that there are no sources for the shipping activities in Andros prior to 1750, except for some sporadic references to the difficulties faced by a silk trader traveling from Andros not farther than Trieste, as documented in his journal [Polemis 1993]. By studying several original documents on shipping loans, share purchases and charter parties he found in the Notarial Archives of Andros, Polemis had established that until 1870 shipping enterprises were partnerships [Polemis 1980a and 1977]. The entrepreneur was also the ship's Captain (using the title Reizis from the Turkish Reis: chief), and was responsible for the construction of the ship and the management of the whole enterprise. The entrepreneur sought partners (termed Partsineveloi) and furthermore borrowed according to ``Shipping Terms'' (this sea loan is referred to as Syrmagia) or in regular terms. Dertilis [2005] states that these are common practices in Greek pre-revolutionary shipping and interprets them as a risk sharing mechanism. Only on rare occasions did a vessel belong to a single owner. This situation changed with the increased investment required for a steamer. The necessary capital could not be raised in Andros and entrepreneurs resorted to the London capital market or even to Romania (where Andros' ship-owners had significant business in the Danube going vessels). In the beginning of the steamship era the captains from Andros did not have a controlling interest, but as their know-how running steamships increased, several Captains bought out the other partners and became controlling owners.
This structure of a shipping firm is the norm in contemporary shipping where every vessel was a separate company with a leading partner, several other partners and considerable Bank financing. Of course shipping loans today are not written off in case the ship is lost and the development of the specialized insurance market has changed the nature of risk to a financial rather than a physical factor.
Polemis is very careful in noting the returns on the capital of
the shipping firms, as well as the interest charged on their loans.
He states in the Introduction that loans were
on a per voyage basis and had a duration of a few months:
``The interest rate was high, 2-3% per month,
i.e., 24-38% yearly and occasionally even higher.''
This statement shows implicitly that loans were indeed
for the duration of a
few months for if the period were in terms of years he would have used
monthly compounding to quote an effective yearly interest rate
of 27-42%
(since
and
).
These loans were subject
to the ``risks and dangers of the sea'' namely if the vessel were lost no
claims could made against the property of the entrepreneur. It is not
known what other specific loan types were available.
The returns to shipping seem to have been satisfactory in the Ottoman Empire period. This is indirectly evident from the remark in the Introduction that in 1787 the island of Andros was required to provide 60 able bodied seamen (a significantly higher number than the neighboring islands of the Aegean Sea). Most of the sailors found it profitable to pay off their duty even though it amounted to the considerable amount of 83 Grosia3(a share of 1/17th in a vessel was worth about 300 Grosia), taking into account that there were the same risks in serving in the Ottoman fleet as in a commercial vessel.
A significant document in the study of the maritime history of Andros
in the late Ottoman period is a Notebook (referred to as a Tefteri
from the Turkish word Defter, Notebook) stating the financial
transactions of Hatzi Antoni Reizi (Captain)
Markouli.4A page is reproduced as
figure 1 on page
.
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The entries of the Notebook contain the accounts of Markoulis from 1789 until his death in 1813 and subsequently the activities of his son George, also a Captain-entrepreneur. The Notebook is difficult to read --perhaps intentionally so-- and it is remarkable that Polemis was able to transform these cryptic entries into a coherent text. It is probably his experience as a ship-owner that made this possible. The Notebook gives a comprehensive picture of the accounts of a vessel of unknown particulars that was built in 1796. It is to be expected that just as is customary in our days, a distinct legal entity would have been established to cement any deals and to isolate the vessel's operation from the partners' other businesses. No such document has been found but the Notebook is clear about the venture's mode of operation.
The vessel's financing was through the sale of shares and borrowing. The capital required was divided in 17 equal shares of which 10.5 are sold to partners with Markoulis retaining the remaining 6.5 --about 38% of the shares. Although he does not hold the majority of shares, it is undisputed that he had the management of the operation and served as captain.
Each share was sold for 294 Grosia. This unwieldy number results most
likely from the required capital which is about 5.000 Grosia divided by
the number of the investors willing to participate in the enterprise.
It is noteworthy that the sale of shares and the loan agreement for the
(initial) loan amount of 650 Grosia took place in a period of only 10
days (2 to 12 November 1796). Several investors participated in the
loan, over and above their purchase of shares, advancing the entire
amount of 650 Grosia. At a later date and just before the sailing,
Markoulis borrowed another 735 Grosia, of which an extra 650 Grosia
from his partners and 85 Grosia from third parties.
Table 1 on page
shows the financing of the operation.
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An idea of the liquidity of the operation is presented in
table 2 on page
.
While the shares sold were nominally worth 3,087 Grosia, Hatzi Antonis
collected only 1,460 in cash, 736 in (presumably negotiable)
bonds with 207 Grosia outstanding. Furthermore, Hatzi Antonis wrote off
part of his outstanding debt but it is not clear what part of this amount was
reinvested in the new vessel. Finally, the initial loan (650 Grosia)
must be considered as cash, except for 100 Grosia which were used to
write off another of Hatzi Antonis' loans.
Thus, the available cash at the beginning amounted to 1,460 Grosia (the proceeds from the sale of the shares) plus 736 in Bonds plus 550 as a loan, i.e., a total of 2,696 Grosia to which Hatzi Antonis' own contribution must be added. This amount proved inadequate and he was forced to borrow the aforementioned amount of 735 Grosia just before sailing. The total amount borrowed was 1,386 Grosia (the initial loan of 650 and the later loan of 736 Grosia). We will examine the effect of this rather high amount borrowed.
The whole capital raising procedure is interesting since it is similar
to the one followed in launching Private Equity Funds, as documented
for instance in the European Venture Capital Association
Guide on
Private Equity and Venture Capital [2007] or the textbook by Lerner
[2000]. The launch was carried out in a restricted time interval and the
personality of the leading fund manager was instrumental in the success
of the fund raising effort. The call was addressed to the important
members of the local society --business leaders as well as the wealthy
monasteries. Concerning th track record of the Captain, Hatzi Antoni
must have been successful in his previous enterprises like the one
mentioned in a 1785 document as the ``Loucas caique'' which was active in
the period 1790-95.5In his fund raising effort Hatzi
Antoni must have circulated in a closed circle a financing proposal
for the particular vessel, providing shipping and financial details,
a kind of business plan that must have included some estimate of the
required financing. The fund raising was well received as manifested
by its swift conclusion. A list of his shareholders is given
in table 3 on page
,
and are all well known figures in Andros' affairs, appearing in
several notarial documents studied by Polemis [1980a].6The subsequent
loans must have been pre-agreed with the shareholders since it is they
who provided most of the extra loans.
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What was the goal of the partners who participated in the undertaking both as lenders and as partners? Most likely they tried to reduce their risk in the case the vessel was not lost (in case the vessel was lost all of their investment was lost, both of the partners and of the lenders in ``shipping terms''). What are the details of this risk reduction strategy?
According to Polemis, the sea loan carried a yearly interest rate of about 30% and was to be repaid provided the vessel was not lost. The partners' payoff depended on the profit remaining after the payment of interest and other expenses. Half of the profit would go to the crew and the other half to the shareholders. The shareholders' income would thus depend on the charter rates the vessel would get. And thus their participation was riskier than a straightforward loan, whose return would be independent of the charter rates. Some investors, usually the wealthier ones were willing to undertake these risks to their entirety, others wanted to reduce it. Thus if an investor invested 50% of his funds in the vessel and the rest in a loan, he was better off in case the return on the vessel was below 30%, and worse off otherwise. This reduced the variation of the investment return.
In particular, if an investor invested an amount
in a shipping venture
and lent the rest to the same venture, he held a portfolio of assets
whose total risk-return profile was of importance. If the fraction
of the capital invested in the ship is
, the ship's return on capital
is
, while the interest rate on the loan is
, the investor's yearly
income would be
and the return on the invested capital would
be
. For
equal to 30% the return is thus
.
Therefore in bad times (i.e., when the vessel's return was below 30%)
the diversified investor fared better than the pure shareholder, and
conversely in good times.7This is illustrated in
diagram 1 on page
.
Among the investors that are listed in the Introduction, the more conservative placed 147 Grosia in half a share and 100 Grosia as a loan, the risk-prone invested only in shares. It is the risk averse investors who fared better in this case. A further loan8that would be negotiated subsequently might indicate a switch of the investors to a more conservative stance.
According to Polemis, a shipping loan has a very high interest rate and is subject to the ``dangers of the sea.''9An interest rate of 30% is valid in Hatzi Antonis' case but is also the figure stated in a different sea loan contract in 1777. It is remarkable that the interest rate does not change in 20 years which means that there was a relative economic stability in that period -- a period that was indeed relatively uneventful with no wars or any major revolutions.
What are the conclusions concerning the risks of a maritime venture? An analysis to be presented next shows that this value implies that the probability of a vessel sinking within a given year is of the order of 15-20%, which implies, as shown in the next paragraph, that the expected life of a vessel is between 5 and 7 years. Hatzi Antonis' vessel floundered in Crete in 1800, four years after its launch, instead of the expected 5-7 years. The vessel proved unlucky, but not too unlucky.
To analyze the risks involved in the maritime ventures, we examine the
relation between the interest rates, both risky and risk-free and the
probability of loss of a ship in a period of a year. We denote the
risk-free rate by
, the riskly by
.
The expected return of the lender in the risky loan should have been on
the average equal or higher than the risk free rate. In the case of a
sea loan where the ship would be lost with probability
, the lender lost
his capital in addition to the interest and thus his expected income
would be
,
while the riskless income would be
.
This leads to the inequality
and hence
.
For a risk
neutral investor the equality sign is valid, and it is expected that the
discrepancy between the two expressions should not have been too high
for otherwise there would exist an arbitrage opportunity for insurance
like activities. Thus assuming
,
while the risk free rate is between 5 and 10%,
we get a probability of loss between 15 and 20% per year.
Furthermore, assuming that the event of losing a ship in a
certain year is independent of its age and its previous history, we can
calculate the expected life of a vessel to be
between
and
years.
For
between 15 and 20%, this leads to a life expectancy
for the vessel of between 5 and 7 years.
Using this data we can estimate the returns in shipping in that period,
taking into account the probability of losing the vessel, and under
reasonable assumptions on the interest rate for regular loans, not
those subject to the dangers of the sea. For the sake of simplicity
we consider a ship that belongs to a single owner and has a building
cost of
. We assume that every year the vessel's profit is a fraction
of its value, namely
. The profits are paid for
years provided
the vessel does not sink in that period of
years. The probability of
sinking is
and thus the probability of the vessel surviving for exactly
years is
.
The present value of these profits can be calculated
to be equal to the expression
,
hence the expected value of the lifelong profits is
and it must be greater than the value of the vessel
.
After some calculations the above sum can be shown to
equal
and for the expression to be greater than
,
the yearly return
must exceed the quantity
.
For a risk-free interest rate
between 5 and 10% and loss of vessel probability
of 15-20%,
the required values for the return are between 25 and 38%.
This calculation is also valid for shares in the ship.
The above calculations show that for a shipping investment to be satisfactory it must give a yearly return on shares between 25 and 38%. Polemis estimates the actual return in the shares in Hatzi Antonis' vessel to be approximately 7%, which is way off the previously calculated level. This corroborates his statement:
Thus, the effect of this setback on Hatzi Antonis' enterprises was rather small. This can be explained by the observation that his investors were sophisticated (being community leaders of well respected foundations or monasteries) and must have been aware of the particular risks involved in shipping. They must have judged that Hatzi Antonis was not guilty of any negligence. As stated by Polemis, Hatzi Antonis' descendants continued their activity long after this venture.10
A reasonable question is whether the high loan with its steep 30% interest rate was the main reason for the low returns on the investment. A negative answer can be derived after some calculations. The shareholders who were also lenders had better overall returns in their investment. Those who invested their capital equally in loans and shares had a return of 18.5% (the average between 30 and 7%) which is not too far off the minimum required return of 25% in shipping, while those who were just shareholders had a return of just 7%. Of course lenders and investors lost equally when the ship sunk.
How can we estimate the profits the vessel would have had in case there was no loan financing? The return on the shares depends on the return of the venture itself and the magnitude of the loan undertaken. A high loan increases returns in good times but reduces them in bad, hence the term leverage. These effects can be taken into account by the following calculations.
We denote by
the total capital,
of which
is loans and
is equity
belonging to Hatzi Antoni and his shareholders.
If the vessel has a yearly profit of
before interest payments,
it reduces to
after interest.
These profits are split among the crew and the shareholders,
each receiving
.
Thus the return on a capital of
is
.
This expression shows that,
if the return on the vessel exceeds 30%,
the return on the shares exceeds 15%,
with very high returns for high leverage (
close to 1).
Conversely, for returns of the ship below 30%,
the return on the shares can be negative
even for ship returns close but below 30%.
In diagram 2 on page
,
we present the returns
in the shares for various levels of leverage
(marked in the horizontal axis)
and returns on the vessel (marked on the vertical axis).
Thus the solid horizontal line corresponds to a return 30% of the vessel
and a 15% return on the shares independent of the leverage.
For a return of 50% on the vessel,
the share return increases explosively becoming 100%
for a leverage of 90%.
On the other hand, for a vessel return of 20%
the shares' return is null for leverage close to 60%,
and even more dramatically,
for a return of 10%, a leverage of just above 40% leads
to operating losses for the shareholders.
This is of course due to the
necessity of interest payments of 30%
as long as the vessel does not sink.
We assume that Hatzi Antonis refinanced the loan every year,
since there are no entries in the Notebook
testifying a capital repayment.
Indeed the venture's profits just sufficed to pay interest and there
must have been no question of capital payments.
The return on the shares of Hatzi Antonis' enterprise is 7%,
while the loan is a fraction
21%,
and therefore by using these values in the equation,
we obtain the equation
.
Solving it for
we conclude that the shipping venture had an
annual return of
.
Thus the vessel was profitable but the
level of profits was considerably below the required return of 25-38%
derived earlier for a venture of similar risk. On the other hand,
things were not too unsatisfactory for the more conservative investors,
who split their investment among loans and shares. This helps explaining
why some investors continued to trust Hatzi Antonis, who
went on to seek capital for his subsequent ventures, probably from his
more conservative investors.
Concerning the more risky investors who invested only in shares, the
effect of the high leverage was important but not crucial. If there were
no leverage (
) the expression above shows a return on the shares of
just 9% (half of the return on the vessel of 17.5%). So who paid for the
high return of the conservative investors? It was the crew --in addition
to the shareholders-- whose wages decreased by the interest payments.
Probably, before joining a certain vessel's crew, a seaman asked for
information on the vessel' loans.
The sailors were not paid in fixed wages but rather as shareholders, being entitled 50% of the profits. This is a highly risky payment method and it does not even guarantee a subsistence wage. Probably crew members were more sophisticated than modern day sailors and had to be somewhat versed in shipping accounting to make sure that they received the proper reward. Furthermore, given the high probability of a vessel sinking, the sailors must have been accustomed to risk taking (piracy days were not in the too distant past) and income uncertainty must have been a relatively minor concern.
A related question is what happened in case of operating losses. Did the entrepreneur seek new loans, issue more shares or were the shareholders asked to participate in the losses? An indication of what could happened is provided in a document from 1821 studied by Polemis where the local Ruler (Kotzabasi, Prefect) of Andros auctioned 8 and 3/4 shares (out to a total of 14) belonging to an owner who defaulted on the payments for the entire vessel or perhaps just his own shares.
It is also not clear what Hatzi Antonis himself made out of this venture.
His share as a captain can not be too significant, since the crew's
profits were just 7% on the capital, and the captain simply got a
double share. Thus, the return on his capital share was also close to 7%
(say 8-9%). What is important is the amount of his private property he
contributed against the 6 and 1/2 shares he kept for himself. Following
the practices which are prevalent today, investors could have credited to
his contribution some kind of management fees, namely some amount over
and above the ship's building costs. It is likely that Hatzi Antonis
who had an outstanding loan of 911 Grosia was excused from the loan
and thus essentially instead of paying 1,911 Grosia for 6 and 1/2 shares
(
) he effectively pays only 1,000 Grosia. If this is so,
the return on his own capital was about 15.3% (He got 8% on a nominal
capital of 1911 which is
), again significantly
below the required return of 25% for such a risky investment.
A further question is what went wrong in the actual shipping venture. Was it a period of low charter rates, a depression in shipping, did Hatzi Antonis make faulty managerial decisions? From the Notebook we see that there were no unexpected damages, nor losses due to trading activities as all the income related entries refer to income from charters. Perhaps the choice of voyages was unfortunate, Hatzi Antonis had to undertake return voyages with bad charters or bad weather conditions which obliged him to lengthen his trips with an ensuing loss in return. Most important, maybe Hatzi Antonis had responibility for the actual sinking of the vessel. All this seems unlikely since Hatzi Antonis' reputation was not tarnished by this ill fated vessel and he was able to continue his maritime ventures.
The above calculations aim to clarify through a quantitative approach the extent of the success of a well documented shipping venture in the 18th century in Andros. In addition they wish to provide a micro example of the possible usefulness of business mathematics in exploring in depth the technical details in matters where finance impinges on entrepreneurship and vice versa in early Greek shipping such as: charter markets; shipping cycles; shipping policy by the Ottoman state (with respect to taxation, registries, insurance and the like).
The complexity and the resourcefulness of the financial instruments used by the 18th century Andros entrepreneurs and investors is remarkable. All parties involved (entrepreneurs, investors, accountants, notaries) indirectly show an understanding of the risk return tradeoffs and try through several financing alternatives to apportion the risks in a equitable way. This is to be expected in a community where shipping ventures were commonplace, leading to a community-wide learning effect. Indeed, the success or failure of an entrepreneur must have depended to some the extent on his ability to calculate the risks involved in an informal but sound way -- over and above to his provable knowledge of the realities of shipping. Relatively advanced business and financial mathematics techniques can be useful in understanding the risk aspects of early entrepreneurship and its finance, and furthermore assess whether shipping ventures succeeded or failed because of shrewd calculation or just because of randomness -- as stated in Taleb's [2007] popular work.
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Evangelos F. Magirou (PhD, MS) is Professor of Operations Research in the Department of Informatics at the Athens University of Economics and Business, currently chairing the Department. He also chairs the Graduate Program in Business Mathematics which is jointly organized by the University of Athens and the Athens University of Economics and Business. His research interests are in optimization, game theory and the applications of operations research in the fields of energy, finance and maritime management. He has served in the Board of the Public Power Corporation of Greece.
Evangelos F. Magirou
Department of Informatics
Athens University of Economics and Business
Patission 76
GR-10434 Athens
Greece
| Tel.: | +30 2108203185 |
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| e-mail: | efm@aueb.gr |
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