The Monstrous Maths Of Hedge Funds

Published in Investing Strategy on 12 June 2009

We show you why investing in hedge funds is a bad idea -- even if you earn a steady 12% a year for life!

According to a report in the Financial Times, May was the best month for hedge funds in more than nine years. For the record, the Eurekahedge Hedge Fund Index, which tracks more than two thousand hedge funds, was up by 5.2% in May alone.

Of course, given the dramatic recovery in share prices since their March lows, the recent bumper performances by hedge funds come as no surprise. However, the hedge-fund industry took a pasting in 2007 and 2008, when investors discovered that these 'absolute return' funds can produce hefty losses in bear markets, in line with conventional long-only funds.

Why it pays to avoid hedge funds

Personally, I've never invested in a hedge fund, even though many generated mouth-watering returns as asset prices soared during the recent boom years. The main reason for my aversion to hedge funds is simple: their charges are far too high. Indeed, the monstrous mathematics of hedge funds suggest that they amount to an incredible 'heads I win, tails you lose' bet for hedge-fund managers.

Invest in the "D'Arcy Dynamic Returns Fund"!

Let me explain the thinking behind my argument with a simplified example. Let's say that I start my own hedge fund, The D'Arcy Dynamic Returns Fund, or DDRF. (As you'll come to see, the returns are dynamic solely for me and not my investors!)

I start the D'Arcy Dynamic Returns Fund by putting £1 million of my own money into it and amassing another £9 million from investors, for a total of £10 million. As with other hedge-fund managers, I charge my investors hefty fees, as follows:

• an annual management fee of 2% (which I receive no matter how poor my performance); and

• a performance-related fee of 20% of the annual returns generated by my fund.

In hedge-fund jargon, this is known as a standard '2+20' fee structure.

To make my calculations simple, let's assume that I am a master investor -- up there with Warren Buffett, Peter Lynch and others. Indeed, so good am I that I earn my investors a rock-steady annual return of 12%, year after year after year.

(To my knowledge, the only hedge-fund manager who has produced such consistently steady and superior returns was Bernard Madoff. Of course, it turns out that 'Mr Made-off' was running a $65 billion Ponzi scheme!)

So, each year, I take 2% + 20% x 12% = 4.4% of the fund's value in management fees. This has the effect of reducing my investors' return from the headline 12% a year down to a much less attractive 7.1% a year. 

What's even worse is that, over time, I will come to own the vast majority of the D'Arcy Dynamic Returns Fund, as the following table proves:

Year endFund value (£)Total fees (£)My stake (£)Investors' stake (£)My share (%)Investors' share (%)
111,200,000443,5201,563,5209,636,48014.086.0
212,544,000474,8862,226,02810,317,97217.782.3
314,049,280508,4703,001,62111,047,65921.478.6
415,735,194544,4293,906,24411,828,94924.875.2
517,623,417582,9314,957,92412,665,49328.171.9
1031,058,482820,34513,234,62617,823,85642.657.4
1554,735,6581,154,45229,652,55625,083,10154.245.8
2096,462,9311,624,63461,164,06035,298,87063.436.6
25170,000,6442,286,310120,325,35749,675,28770.829.2
30299,599,2213,217,472229,692,33569,906,88676.723.3

I'm assuming here that no money is taken out of the fund and the fees I charge are re-invested as part of my share of the fund. 

As you can see, taking 4.4% of my investors' money each year has a massive impact on their ownership of the D'Arcy Dynamic Returns Fund. At inception, my investors owned nine-tenths (90%) of the DDRF. However, after five years, I own over 28% of the fund, versus 72% for investors. As this game unfolds, I own a larger and larger proportion of the overall fund, reaching 77% after thirty years. 

Thus, in the main, you could argue that hedge funds are a vehicle designed to transfer wealth from investors to hedge-fund managers. Indeed, while running the D'Arcy Dynamic Returns Fund for thirty years, my original £1 million investment grows to a staggering £230 million. This is a compound return of almost 20% a year, which is wonderful for me, but terrible for my investors!

In summary, hedge-fund returns are vastly asymmetric, thanks to the fund manager taking such a large slice of the pie each year in annual and performance-related fees. This humble arithmetic is a powerful argument not invest in hedge funds, no matter how attractive their performance history.

> An index tracker is the cheapest, simplest way to capture the majority of the returns generated by UK-listed companies.

More ideas from Cliff D'Arcy:

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Comments

The opinions expressed here are those of the individual writers and are not representative of The Motley Fool. If you spot any comments that are unsuitable hit the flag to alert our moderators.

lotontech 12 Jun 2009 , 5:35pm

If it's correct then this is a great article which will be very enlightening for many people.

I have a nagging doubt about the maths, but neither the time nor mathematical ability to really think it through ;-)

At the very least I think you need some parantheses in your calculation, like this:

2% + (20% x 12%) = 4.4%




jerryrc 12 Jun 2009 , 9:27pm

Also, wouldn't the performance fee be 20% over and above a hurdle rate, e.g LIBOR + x, rather than of total returns?

Nevertheless, agree the fees aren't justified in the long term.


jonesjeff 12 Jun 2009 , 11:44pm

Multiplication takes precedence over addition, so the parenthesis are NOT required.

lotontech 13 Jun 2009 , 8:53am

jonesjeff,

Multiplication may well take precedence in a computer program or something, but if someone reading this article digs out their calculator and types in the calculation literally as printed...

0.02 + 0.20 x 12

..they will get an answer of 2.64 and wonder why it is not 4.4.

Tony.

Terrapin1 14 Jun 2009 , 7:22pm

Where are all the customers yachts?
I think you'll find that real hedge funds did very very well- in fact at least one has closed down due to the returns exceeding expectations. A proper hedge fund should do well in a bear market, otherwise you're not a hedge fund.
A lot of hedge funds are not hedges at all, they are just people who think buying shares makes a hedge fund.

hanniali 15 Jun 2009 , 10:26am

Tony,

0.02+0.2*12=2.42 not 2.64

Calculators also obey order of operations (BODMAS). The correct sum to enter into a calculator is:

0.02+0.2*0.12=0.044

Which is 4.4%

Hanni

hamishrose 15 Jun 2009 , 12:04pm

The maths in the article is still incorrect

Cliff has taken the total fees in the first year and added them all onto 'his' stake. eg his £1m becomes £1.12m with investment returns, + £0.443m with fees = £1.563m.

He has forgotten that part of the fees were charged on 'his' stake in the first place. The correct answer is that his £1m becomes £1.12m with investment returns, less fees of £0.0443m charged to himself, + the whole of the £0.443m fees = £1.519m

globalarbtrader 15 Jun 2009 , 4:43pm

This is the wrong criteria to use to decide wether something is a good deal for the investor or not. What you should look is that the investor receives, and wether they can get a better deal elsewhere.

If I offer to sell you a rolls royce for £100, which I bought myself for £50 due to my superior car deaing knowledge, is this a bad deal for you?

The investor gets 12%, net of 20% performance (equals 2.4%) less 2% a year which is 7.6%. Now if you could really get 12% year after year with zero market risk then 7.6% strikes me as being a pretty good deal right now.

The reason that the hedge fund manager is making 20% a year and the investor 7.6% is that they are being paid a return on their skill and their capital wheras the investor is getting paid a return only on their capital. After all the HF manager could go out and borrow the £9m for 5%, not bother with outside investors, and make a fortune.

In fact any HF that could make 12% a year constant would probably quite soon not take money from outside investors (like Rennisance) but limit their new funds to employees.

LostInTheWeb 15 Jun 2009 , 4:51pm

More on the order of mathematical operations/...


http://www.mathsisfun.com/operation-order-bodmas.html

namron101 15 Jun 2009 , 5:35pm

Three observations:

i) The standard arrangement is to take the 2% management fee first, and then to deduct a 20% share of the profit remaining. In this example the investor gets 8% net per year.

ii) The 12% figure would never appear in a "headline" - any numbers that you see quoted will be net returns.

iii) Globalarbtader is right - the criterion should be, where can I get the best mix of net return and risk? The rise of the hedge fund industry is because even after fees, hedge funds have delivered a much better mix than conventional active or passive long-only funds.

BenDoverForTaxes 15 Jun 2009 , 10:55pm

There is an alternative...
Spread bet the hedge fund..I have a bet on BH Macro Though make damn sure you have a stop loss set just in case it falls off a cliff like last time.

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