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Sharpes ratio relevant to EVE?

Author
Pres Crendraven
#1 - 2012-05-19 00:18:31 UTC  |  Edited by: Pres Crendraven
I always hear this risk versus reward, usaully related to security space instead of investments. I'd gotten to the point that of mentally comparing optimal ROI with actual and then I stumbled on Sparkes work. I know its decades old but I never traded bonds or derivatives

Sharpes Ratio

I'm often accused of being delusional but is this a way to quantify the balance of various game activities in different spaces?

I'm not sure I'm calculating it correctly either. the formula per investopedia is:

(expected return-risk free return)/standard deviation

Standard deviation of what? past real ROIs of a certain activity?

For instance, level 4 missioning 40m/hr 4 hrs a day 20 hours a month is 3.2 bill-.2bill for ammo. Say I invested 500m in my BS. ROI=3b/.5b or 600%? Is That risk free? I think

So I go into ninja territory and every few months I lose a ship. and it becomes a part of that months expenses and drops me to 500%. My average return after a few months is 566%-600%/57 Standard deviation calculator data points 600,600,500 = average 566 and standard deviation of 57.

I get a sharpes of.6 for high sec.

All my numbers are guesstimates off of memory but I ran some null numbers and sharpes was over 1 actually 1.25 to 1.79

I don't have any real plex running in low sec but I ran some some estimates and I can't get a positive sharpes number because my expenses get too high from projected losses. I bumped up the income up to 70 and its still negative. Next step is to get some faction warfare plex numbers and see if I can get + numbers for that activity but am I even doing these calculations correctly?

I'm sorry if I didn't explain this well, kinda hard to do with a subject new to me.

Meta34me

Corp and Alliance details hidden to protect the innocent.

chiky Ronuken
Native Freshfood
Minmatar Republic
#2 - 2012-05-19 03:30:02 UTC  |  Edited by: chiky Ronuken
In real life, we used sharpe among a lot of other ratios to compare risk. We had a small fund ($420,000) we managed and competed against 30 other schools. We also compared portfolio beta, standard deviation, 1/2 standard deviation, up beta, down beta, and a crap ton of others against benchmarks.There was a long list of academic BS we had too do. The way it was calculated in excel was to take the returns ( as a %) for the year minus risk free rate (the return you would have had with t-bills as a %)/ standard deviation of your portfolio returns.

Its was also used to compare etf's and mutual funds to compare how other managers did. If you had a hypothetical game of a coin flip and wanted to judge the riskiness of it to a benchmark..say the SP500. The sharpe ratio of the coin flip and the returns of the SP 500 were about the same. In other words, it would not matter where or how you put your money.

Now if i was going to use it in eve for some odd reason, compare your historic returns of EVERYTHING you did in a region ( as a %) versus the standard deviation of those returns. Your entire wallet balance over a period of time. This way you can compare risk adjusted returns to other regions. This way you can tell which is more beneficial. But honesty, just use your intuition and what ever brings you the most enjoyment.
Pres Crendraven
#3 - 2012-05-19 04:23:08 UTC
Thanks, You using tbills throws off my risk fee investment returns a lot. I suppose Eve inflation, Just buy and hold for a basket would have to be a risk free return for now.

My intuition tells me that anybody in this game that says return has to be proportional to risk has an incomplete picture. My numbers tell me low sec is horribly broken when you compare it to the rest of the Universe. They suggest faction warfare instead of null or highsec business models.

Fun? I guess I like numbers :)

Meta34me

Corp and Alliance details hidden to protect the innocent.

chiky Ronuken
Native Freshfood
Minmatar Republic
#4 - 2012-05-19 06:05:48 UTC
"My intuition tells me that anybody in this game that says return has to be proportional to risk has an incomplete picture. "

It's true to a certain point. Everywhere you look in eve, no matter where, there is an epic crap ton of risk free profit to be made. The only thing that comes to mind is how to exploit it. For some, its sitting in a station in empire making 7 bill a month. ...risk free.

I Just do what ever brings in the isk to pay the account and makes the game fun. I find it much more fun to exploit peoples behavior. Can't stand ratting/incursions/missions/mining :P
Caleb Ayrania
TarNec
Invisible Exchequer
#5 - 2012-05-22 11:21:30 UTC
A very interesting approach, but I think the topic needs to be expanded, if it is to warrant any discussion..

The problem I see atm is that players keep accepting that ccp tends to turn to many things ingame on its head compared to the real world. This keep causing some bad effects, that persist mainly because to few are pointing out the core problem..

Back when I was a very yong lad, and I was at a camp excursion with the my church for our christenings, the priest arranged a rather inspirering roleplay session.

He divided all the items needed to build a layered cake into 3 groups as i recall.

Group 1 got all the raw materials, the cream, the fruit etc. The priest called this the third world. (Developing world)

Group 2 got all the machinery, the electrical appliances etc. He called this the western world.

Group 3 got all the utensils and the artsy parts,and he explained this as the middle ground nation states.

We had to roleplay and trade with each other in order to get the 1 cake per group that was available.

The result was that my group had 2 of the 3 cakes and the third cake could not be made, because the two other groups would not agree.

My point is that EVE should be balanced in similar ways to mimic what we as humans are used to seeing and hearing. The divide between high sec an low sec, between empire and null should reflect these natural economic mechanics.

Roids should not pop, they should be "territorial" and limitations should be on effectiveness of the manhours invested in working them.

Same with production it should be more pvp and npc facilitation needs to be nerfed and start using actual floating prices.

Player facilities and services need to be public in EVERY way. So renting out POS slots, and player billings, and effective use of player to player standing for embargoes and boycotts.

Null sec got wild west status and got opertunities, space and available resources, but money, network and all the things Adam Smith belongs in empire. The exception being CVA trying to civilize their space.

The problem with things like risk versus reward and to easy isk sinks stem from these game flaws. If ccp just want a skinner box, like wow, that is all fine and makes sense, but if they want a true sandbox they have to fix these balances better. In fact I think that is a lot of what they are about to do with and post inferno patch.

We have already seen a lot of small hints towards this trend, now I am hopeful that a lot more will follow.
(On that note, the station containers need to be solved the same way as shuttles, get the reprocess back on them and seed blueprints, preferably linking its build to PI in order for more latteral integration.)

Anya Ohaya
School of Applied Knowledge
Caldari State
#6 - 2012-05-22 23:21:16 UTC
Pres Crendraven wrote:

(expected return-risk free return)/standard deviation

Standard deviation of what? past real ROIs of a certain activity?


Presumably it's the standard deviation of the numerator (expected return - risk free return).

It's a z statistic.
Pres Crendraven
#7 - 2012-05-23 00:10:06 UTC  |  Edited by: Pres Crendraven
So? and standard deviation is a bell curve distribution. Risk is not related to return in a straightline fashion as everybody suggests but is related to a bell curve. Its a probability related term, more related to the median but including the extremes.

bell curves are theoretical, though actual distribution would exhibit curvelike characteristics. A sharpe ratio could be used for comparison since it is using similar metrics but wouldn't be a reliable indication of future performances. It turns the light on but barely shows me the way.

Faction warfare FTW this expansion?

Meta34me

Corp and Alliance details hidden to protect the innocent.

Kara Books
Deal with IT.
#8 - 2012-05-23 03:28:41 UTC
time is not infinite and time is not that, or equal to zero.

Highsec mission rewards depend on to many factors, finding the perfect routine is complicated by the LP exchange rate and market price deviation, other players soon catch on to the most profitable places to mission and your monthly calculations are out the window.

A good mission running ship able to make 40M per hour would be far more then 500M isk, I believe closer to 1.5B + you need a 2nd account to salvage, so losses to plex would be another 1B isk, losses to gankers, depends on ship, so keep in mind, the more DPS, the faster you run a mission, the less tank you have and in turn the more chance some one unexpected comes by and puts a few rounds where the sun don't shine.
To much tank and there is no way your going to come to even 20M per hour.

Nulsec ninja plexing.

If you become a regular, you will also become a regular target, increasing your losses.


Its very hard to predict this game, today your running incursions, tomorrow the incursions are nerfed and the next day you loot 1.5B of loot at distant gate where concord killed a player who lost their internet connection.
Pres Crendraven
#9 - 2012-05-23 04:34:19 UTC
Right Kara, You have to get honest with your revenue and when you do you see exactly what your talking about. That your incomes are not steady.

Thanks for correcting me on the investment because my highsec investments are now much higher. The number I quoted was actually a null ratting ishtar and that was just ballpark. It was probably less by the time I was done tuning it. In high sec missions I run a a marauder and a mach that's more in line with your numbers.

If I get honest, I have made between 5 million and 70 on high sec missions. A string of these become your data-set. You should have a much larger data-set than i used but say I look at my wallet do some quick estimates and see that 5 and that 70 and a bunch of 20-28 and a few high thirties. If I plug that into that calculator I can get my average and some deviation numbers. My data actually have a pretty high deviation. There are Three elements to my ROI calculation, Revenue,expense and investment.

The Sharpe equation tells us something we don't talk about and adds a fourth element. We are also running a risk from one day to the next that our income will DEVIATE from the median. Once I acknowledge this, I of course start to look for those things that bring good days and bad days. As I reduce my deviation. I'm actually managing risk. as I manage and minimize my risk my sharp ratio goes up. In this instance we are also making more money.

Its interesting in null, running anomalies, the ticks are pretty darn steady compared to high sec. Not only are they higher, the deviation is much less. My time in null is limited, I never lost a ratting ship. My income was steady, my investment was low expenses were nill, My sharpe ratio was high.

I expected low sec numbers to fall in between but they do not. but if I start looking at ship turnovers for stealth bombers it starts going up. Common sense says not to fly bling in low. THe Sharpe number confirms it. THe ROI model is what is helping me see that a low investment can combine with a high deviation to bring up my Sharpes. Just through hearsay I know that stealth bombers are used in the low sec faction warfare changes.

It seems it might be time to collect some data and try to bring up that Sharpes.

Meta34me

Corp and Alliance details hidden to protect the innocent.

Vaerah Vahrokha
Vahrokh Consulting
#10 - 2012-05-23 09:34:48 UTC  |  Edited by: Vaerah Vahrokha
Kara Books wrote:
time is not infinite and time is not that, or equal to zero.

A good mission running ship able to make 40M per hour would be far more then 500M isk, I believe closer to 1.5B + you need a 2nd account to salvage, so losses to plex would be another 1B isk, losses to gankers, depends on ship, so keep in mind, the more DPS, the faster you run a mission, the less tank you have and in turn the more chance some one unexpected comes by and puts a few rounds where the sun don't shine.
To much tank and there is no way your going to come to even 20M per hour.


I beg to differ about the 1.5B price tag. I had and have multiple cheap-ish Maelstroms in "Baby Varg" setup only using faction gear where needed: TEs, gyros, shield booster (no need for the expensive ones). They melt everything very fast (the limiting factor becomes the lock time that takes longer than kill ships), the factors become others, including having to travel to different systems, some times change hardeners and similar.
Pres Crendraven
#11 - 2012-05-23 16:14:44 UTC
The luck of the draw on system travel and some time swapping hardeners really raises your deviation numbers. I recall some corp mining ops that would have shown some largish deviation numbers.

That maelstrom, I remember those lock times. And salvage and loot introduced deviation as well.

mfg of t2 versus t1? Off the top of my head t2 had less deviation even with random invention because copy time was the bottleneck for me.. Wish I would have worked out ROI's

Meta34me

Corp and Alliance details hidden to protect the innocent.

chiky Ronuken
Native Freshfood
Minmatar Republic
#12 - 2012-05-24 03:05:21 UTC  |  Edited by: chiky Ronuken
Since sharpes is a way of comparing excess returns per unit of risk (as defined by the std of your returns) and eve has no risk free rate.......coefficient of variation. Closely related and no risk free rate to bother with.

"In the investing world, the coefficient of variation allows you to determine how much volatility (risk) you are assuming in comparison to the amount of return you can expect from your investment."

Read more: http://www.investopedia.com/terms/c/coefficientofvariation.asp#ixzz1vki88zkg

CV=STD / Mean
Pres Crendraven
#13 - 2012-05-24 03:49:18 UTC  |  Edited by: Pres Crendraven
Nice find. I ran numbers once and the resullt was to small since our rate of returns are :) astronomical. It really looks like the idea I was looking for though.

Risk free rate of return can be arbitrary by my understanding though your of course right that it is the Tbill rate in the US. In eve we could pick an arbitrary measure like inflation. Maybe plex inflation rate crosses my mind if I can't find the mistakes in my preliminary calculation.

Both ways put deviation in the equation. I've seen several ways to calculate deviation also. that we haven't looked at either but we are much closer.

Meta34me

Corp and Alliance details hidden to protect the innocent.

chiky Ronuken
Native Freshfood
Minmatar Republic
#14 - 2012-05-24 08:51:07 UTC
To calculate STD.

Start at today call it time 0.
Tomorrow call it Time1.

Asset price in Time 0 is 100
Asset price in Time 1 is 102

% rt=(T1-T0)/T0
2% return=(102-100)/100

Now that you have the percentage gain/loss...you calculate all the way through for N number of days. Then just use excel to get the STD of your % returns and the average return. You could make it more complicated if you want, but in eve there's not rly a need too.

Your right about using volatility/standard deviation as the only measurement of risk. You have systemic risk ( market risk) and non-systemic( think company specific). In real world you diversify by the way everyone knows..different sectors, different countries, and companies. In theory, its about 25-30 assets. You also diversify by allocating your assets to max your expected return and minimize stand deviation of your portfolio.



Pres Crendraven
#15 - 2012-05-24 17:47:37 UTC
Can't help wondering about volatility across different market segments and price points.

Meta34me

Corp and Alliance details hidden to protect the innocent.