A risk/reward analysis of insured pirate: YARR, PPT.X, GIPPT, Hashking, Goat

[nimda]

Local thread rules:

• This thread is for discussing math, not accusing pirateat40 of running a ponzi scheme or discussing how likely he is to default.
• There is only 1 rule.

For an easier to understand example of the following model, see this post on how to get 7.5% weekly with the same risk as a direct pirate deposit.

General

1. An "insured" pirate bond claims to be willing to return part or all of the investor's capital if pirateat40 / Bitcoin Savings and Trust defaults

2. Therefore, if an investor believes the insurer to be honest, the investor's exposure to BS&T is limited to the difference: (Invested_Capital - Guaranteed_Capital)

3. An investor in an insured pirate bond will receive less than 7% weekly (the amount one may receive investing directly with Pirate)

4. Therefore, the return on risk can be expressed as (Weekly_Payment / Exposed_Capital)

5. The insured capital in an insured pirate bond cannot be invested elsewhere by the investor.

6. If the investor did not intend to invest that capital elsewhere, the lost time value of the capital is 0%.

7. However, it is reasonable that the investor might expect 1%/week and a lower risk.

YARR
1. The last traded price of YARR was 1.89 BTC.

2. If BS&T defaults, the investor will receive 1 BTC. This is the Guaranteed Capital.

3. Exposed Capital is .89 BTC

4. Weekly Payment is 0.06 BTC

5. Return on exposed capital is 6.74157% weekly.

6. Therefore, it is better to invest 8.9 BTC in a passthrough such as BitcoinMax and keep 10 BTC in cold storage than to buy 10 shares of YARR. (Provided, of course, you trust PayB.tc as much as usagi.)

7. There are additional risks and detractors associated with YARR, including:
    a. Contract C-4: CPA forces a 1.3 BTC buyback. This can happen at any time without breach of contract, resulting in more than 30% loss in Total Invested Capital.
    b. Contract C-5: A pirate-backed issue changes their terms independently of pirate. YARR then changes their dividend payouts, resulting in a loss of market value.
    c. CPA defaults independently of pirate, resulting in a total loss of capital.
    d. The investor loses the opportunity to invest the Guaranteed Capital elsewhere while invested in YARR. In order to spend it on a WikiSpeed car or invest it in the Dank Bank, one must withdraw it and the Exposed Capital from YARR.
    e. Fees might be paid when investing in or withdrawing from YARR.

Conclusion: I will be investing in YARR at less than 1.7 BTC.

PPT.X
1. These bonds do not pay dividends, but are bought back for 1.28 BTC every 4 weeks.

2. For simplicity, we will assume that the investor bought the bond at the IPO.

3. The Guaranteed Capital is 0.32 BTC

4. Let the IPO price be j. j is always greater than 1 BTC.

5. The Exposed Capital is j - 0.32

6. The Weekly Payment is (1.28 - j) / 4

7. Therefore, the return on exposed capital = ((1.28 - j) / 4)  /  (j - 0.32)

8. Fancily (word?) enough, when we solve


we get j = 1.07.

9. How about equating this to YARR?


1.07610627

Conclusion 1: I will not be investing in PPT.X if it costs me much more than 1.07 BTC
Conclusion 2: If you can buy a share of PPT.X for less than 1.07 BTC, and you don't mind letting that 0.32 sit there not gaining interest, then you're getting a better return than investing directly with pirate at his highest rates
and the same risk.
Conclusion 3: Buying PPT.X at IPO for less than 1.07611 BTC is better than buying a share of YARR at 1.89 BTC

Gamma Insured Pirate Pass-Through
This one works like YARR.
Time value of 0%, return on risk 7%: bond price 1.357 BTC
Time value of 1%, return on risk 6.9%: bond price 1.217 BTC

There is no market price for this yet.

Hashking's 50% insured Pirate deposits at 3.3% weekly

A) Non-compounding

This is the only deposit backed by an insurance where you will be able to see the insurance funds sitting in an address in case of default.  As deposits exceed the current insurance allocated I will add more to the insurance address.  I will currently start the fund with 4,000 BTC which will allow for 8,000 BTC worth of Deposits.

Because the funds are sitting there, I will say that the 50% insured part has no time-value. Therefore, we can simply double the 3.3 and get 6.6% weekly.
Conclusion: it's better to invest half of your money in Hashking's 6.75% deposit and put half in cold storage than to put all of it in the 50% insured pirate deposit.
Example:
put 50 BTC in uninsured; you'll get 3.375 BTC weekly and lose 50 BTC if pirate defaults.
put 100 BTC in partially-insured; you'll get 3.3 BTC weekly and lose 50 BTC if pirate defaults.

B) Compounding
Due to perfect compounding, how much a lender invests in this program depends on their time frame and how likely they think pirate is to default. See graphs and details later in this thread.

Goat's proposed bond
Bond face value 1
Bond sold at 1.5-1.6
Bond pays 0.055% weekly
By now, this is getting pretty easy, so here's the numbers sans-fluff:
Time value 0%, return on risk 7% (upper bond price): 1.785714 BTC
Time value 1%, return on risk 6.9% (lower price): 1.652174 BTC

Conclusion: this is also a good deal. Goat has some reputation from issuing other bonds/stocks, such as Tygrr-Bond-B, Tygrr-Bond-P, and Tygrr-Tech.

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[Jonny Heggheim]

+1 thanks for your calculation

[nimda]

Slow down usagi. This is a math thread, not a heated argument thread.
Edit: it's quite possible that I mistook your tone, or vice-versa

Interesting idea, but your analysis is wrong. For one, you don't take into account that no one is going to keep bitcoins in cold storage not gaining interest anywhere. Secondly, you haven't taken into account the fluctuating price of YARR.

You also seem to be intent on mentioning "CPA defaults" in spite of being repeatedly told that we hold money with other people. We can't take the money and run because **we don't hold the money**. Do you see how that works yet?

No matter how you slice it, even at 1.9 YARR is the best deal out there besides pure pirate. That is the point. We pay out 4.3% at 1.39 and nothing else beats that. You can always come up with a pipe dream where it is cheaper not to pay insurance as long as you assume no one ever defaults. That is why you claim it is better to invest directly into pirate and keep coins on the side. The problem is that doesn't make logical sense; no one will ever do that.

In the end, insurance costs money (a premium) which is paid to the insurance company. This is why you feel it's too expensive; because you have to pay something. I get it. I agree YARR is overpriced at 1.89. When I sell the next tranche of shares it should get knocked back down to 1.40-1.50.

I'm going to be answering the part in bold. The second paragraph merely addresses one of the 5 "additional risks and detractors" and I'm going to concede that point. The third paragraph starts with an incorrect sentence, then moves on to make assumptions about lower than current market prices. It ends with a statement based on the part in bold, which I am going to address. The fourth paragraph does not have much for me to debate. I hope I'm not missing anything.

The second bold sentence is easiest: no, I don't take into account the fluctuating price of YARR, however I do provide general formulas which will work for any price of YARR. I then give one example which uses the "last" price.

Now for the first sentence. Let me quote it again, since I've rambled quite a bit and might have put it above the page scroll.

you don't take into account that no one is going to keep bitcoins in cold storage not gaining interest anywhere.

Here, we have a mis-communication. It actually reflects better on YARR if I don't do that. Here we get into time value.

d. The investor loses the opportunity to invest the Guaranteed Capital elsewhere while invested in YARR. In order to spend it on a WikiSpeed car or invest it in the Dank Bank, one must withdraw it and the Exposed Capital from YARR.

What happens is that the 0.89 is risked. Pirate defaults --> it's gone. The 1 BTC is not risked. It's almost 100% guaranteed. Therefore, the risk of investing in YARR at a price of 1.89 BTC is mathematically equivalent to the risk of investing 0.89 in pirate and 1 BTC in cold storage. From there I say that it is the 0.89 which is generating about 0.0674% interest, while the 1 is staying safe generating 0% interest. An investor will put 0.89 at risk and 1 safely and enjoy 0.06 / week. If, however, the investor puts 0.89 at risk directly with pirate (pretend that this is possible, I'm simply working with the numbers of 1 share although this calculation should be scaled up -- the outcome would not change) and then 1 with PatrickHarnett (now pretend that Patrick is 100% guaranteed; I'd say it's close -- again, the outcome doesn't change much), the investor would enjoy 0.0723 / week. Similarly, if the investor put 8.9 with PayB.tc and 10 with PatrickHarnett, he would get 0.7141 / week.

I hope I have expressed myself clearly enough to show that giving a "time value" to the guaranteed 1 BTC actually decreases YARR's value. In truth, I was planning on getting to the time value calculations in a later post in this thread, but I decided to leave the time value at 0% for simplicity's sake.

Note that the thread was not intended to bash you, YARR, or CPA. I do math. I enjoy it. And this thread is not professional investment advice.


Edit: oops, I missed your point about fees. The fact is that if you want to invest *right now* or get out *right now* (rather than wait for someone more urgent than you), then you'll pay a fee (is it 0.5%?).
This does not matter in the case of, for example, YARR vs FOO.PPPPT (actually, you'll pay a lower fee in foo because the overall price is lower, but let's ignore that), but it does matter very slightly in the case of YARR vs Bitcoinmax.

Edit2: If I need to make myself more clear, then we can do examples which involve different time values. I also had a graphing tool around here somewhere, and intersections are often more visually clear than algebraic solutions.

[nimda]

Well, I guess we need some examples. I'm running out of time, but I'll be back tonight with examples. For now:

No, this analysis is wrong. YARR (as CPA insurance co.) sold YARR at 1.28 to 1.50 (avg price about 1.39). The "risked" amount which you claim is "risked" is not risked at all:

It is payment to CPA co. as premium for providing insurance on 1 bitcoin held in pirate.

I don't know about you, but I like to be able to liquidate my assets and withdraw my deposits. Therefore, said amount is not a payment per-se; I will want it back later. Good news: I can get it back later. Maybe it won't be exactly 0.89 when I decide to get it back, but that won't really be a problem given that I've been getting 0.0053% PER DAY ( ). And maybe that 0.89 will go up. Who knows.

I won't get it back later if Pirate defaults. I'll get 1, not 1.89. Tough luck for me. Next time I won't sell my car for GLBSE assets.

The point is that yes, that 0.89 is risked. It will be lost completely if pirate defaults, lost partially if CPA cancels the contract and buys back at 1.3, and it may rise or fall with the market. It is not a payment, however, because I can get it back later.

I make and lose no money on the fluctuating price of YARR. I don't care if it is 1.90 or 1.60 because I am not selling shares of YARR now.

This is irrelevant. I didn't accuse you of scamming based on market flux or whatever. Personally, I thought you were going to release more shares rather soon, and you said you were going to release more shares in this thread:

When I sell the next tranche of shares

But it's beside the point. In fact, I don't even know why you said that you make nothing and lose nothing on YARR's price.
If I were going to accuse you of scamming, I'd point at that 1.3 clause. But I won't. Most bonds and shares on GLBSE   can be bought back for >= face value, which is almost always <= market price.

That is really the end of the story right there. The market demand for YARR has blown it through the roof. There are no more shares available for sale by YARR. This is market action. This is what people are willing to pay.

Sure, I love the free market. The free market allowed me to buy shares of MOORE for less than 0.5, and I just got a guarantee that it will always be worth at least 0.5.
And sure, people can pay whatever they want for YARR. If YARR were denominated in dollars (and paid $0.09 ~= 0.01 BTC daily except Sundays), people would pay more than $2700 for a single share, because that's about 1% yearly. As my example will show later, though these people you spoke of (back to BTC and GLBSE now) would get a better return/risk if they didn't buy YARR at 1.9.
Furthermore, my mental math leads me to believe that buying YARR at 1.3 is 3 times better than investing directly with pirate.   Whoa. If I get out ye olde graphing calculator, I'll find the 4 spots where YARR is equal to [bitcoinmax, direct pirate] * [time value of 1%/wk, time value of 0%/wk]



Muis: I'll think about that; usagi probably has a better answer than me. I for one have never run an insurance company, let alone one in BTC, but I believe that if Pirate doesn't default in ~65 Sundays (~= 15 months) from IPO, CPA will be just fine.

[nimda]

Here is a multiple-scenario example:

Time Value of 0%, Pirate defaults
Scenario 1:

Bob has 18.995 BTC. He says "here Alice, I trust you. Invest this money in the best possible way."
After taking out 0.0005 for a transaction fee just to be safe, Alice has 18.9945 BTC on the GLBSE to invest. Turns out, that's the perfect amount for 10 shares of YARR at 1.89 each plus the 0.5% trade fee. What a perfect world. Alice now has 10 YARR shares. Every day, she gets 0.1 BTC, except for Sundays. That's 0.6 weekly, or 3.15881% weekly on the 18.9945.

Then one day (dun dun dun) Pirate defaults

Given w weeks have passed since the investment, Alice now has the dividends of 0.6w  plus 10 BTC.

Scenario 2:
Blah blah money changes hands. Alice gives 8.695652174 BTC to Bitcoinmax (earning 6.9%). She puts the rest (about 10.2988) in cold storage. She gets 0.6 BTC weekly, or 3.15881% weekly on the 18.9945.

blah blah pirate defaults in this universe too

Alice now has 0.6w plus 10.2988 BTC. This is the better deal

Time Value of 1% weekly, Pirate defaults
Scenario 1:
Same story as the very first scenario.

Scenario 2:
Same as the original scenario 2, but with 1 modification: instead of cold storage, Alice gives the 10.2988 to PatrickHarnett (earning 1% weekly). That last bit is perfectly reasonable, since Patrick provides some of the "lowest" rates and is one of the most trusted. Besides, like you said, no one is going to keep bitcoins in cold storage not gaining interest anywhere.

When pirate defaults, Alice has 0.6w + 10.2988e^.01w (also expressed as 0.6w + 10.2988 * 1.01^w)
This is the better deal

Hopefully it is now clear why time value is an argument against "insured" pirate bonds (not just YARR).
In another set of hypotheticals, pirate doesn't default, but Bob wants to buy a wikispeed car with his money (it's been many years now, pirates rates have never changed, and pirate owes more bitcoins than can ever exist ). Set 1: BitcoinMax or any other non-bond instrument: 0.0005 max is paid on withdrawal. Set 2: GLBSE, and Bob wants that money NOW: 0.5% fees are paid when selling the shares.

I have to ask -- is this an attack on YARR?

Nope. It's math. If the whole market could do middle school math and the whole market read this post, prices would probably go down some. But that doesn't hurt you, as you've said. Finally, let's look at 2 more sets (these show a cheaper YARR is a mathematical pipe dream ):

Time value of 0%, YARR price is 1.3, Pirate defaults, no fees paid
Scenario 1:
So Bob gives Alice 13.0005 BTC. She puts 3 into BitcoinMax and 10 into cold storage. She gets 0.207 weekly. When pirate defaults, she has:
10 BTC + 0.207w

Scenario 2:
Drop the fee and buy 10 shares @ 1.3 BTC each (bids got filled; Alice wasn't the taker). That's 0.1 daily except Sundays, for 0.6 weekly. When pirate defaults, Alice has:

10 BTC + 0.6w
This time, YARR is the better deal, because it cost 1.3 BTC, not 1.89 BTC.

Time value of 1%, YARR price is 1.3, Pirate defaults, 0.5% GLBSE fee
Scenario 1:
Bob --> Alice 13.0655 BTC. 10 go into PatrickHarnett, 3.065 go into BitcoinMax (actually, we'd need to multiply every number in this last set by 10, since BitcoinMax has a minimum of 5 BTC, but it doesn't matter really). When Pirate defaults:
0.2114w + 10 + .01w (or .2114w + 10 * 1.01 ^ w if the Starfish account was compounding, but that's unfair because YARR wasn't compounding -- it's difficult to compute compounding with multiples and not really relevant)

Scenario 2:
Alice gets 13 YARR shares. When pirate defaults:
0.78w + 13
This is the better deal.


Conclusion:
YARR is worth more than 1.3 BTC, and less than 1.89 BTC. Those who bought in at 1.3 BTC are getting an amazing deal.

What is that deal though?
WELL!
The capital at risk or "exposed" to a pirate default is only .3 BTC. The other capital is guaranteed. Thus, the risk is identical to giving pirate .3 BTC. The return, however, is huge. The people who bought in at that price are getting 0.06 weekly per .3 BTC risk. That's an ASTOUNDING 20% WEEKLY ON RISKED CAPITAL
There is the small problem of time value: the other btc is at no risk. If one were to invest 1 BTC in PatrickHarnett and  0.3 direct with pirate, one would get 0.031 weekly. Just over HALF of what YARR brings you.
If we treat the lost time value as a detractor, then we're losing a possible 0.01 weekly on that 1 BTC. So... 0.05 weekly on that 0.3 BTC risk. Still an ASTOUNDING 16.67% weekly on risked capital

Conclusion: I should have bought very large amounts of YARR at the IPO. Perhaps I will get a chance when usagi sells down to 1.4 BTC. Even at the worst case estimate, I'd "get" 0.05 weekly on 0.4 risk and 1 BTC which I can't trade or invest. STILL AN ASTOUNDING 12.5%


I think now is the time for the graphs. We'll see visually the exact fair price of YARR. But I have other work to do. See you tomorrow!
P.S. The fair price is about 1.76 BTC.
P.P.S. Does anyone have a nice (command line or GUI) graphing tool for Windows?
P.P.P.S. All of this applies to PPT.X too; 1.07 is the fair price

[PatrickHarnett]

I heard my name, so I'd better sub - plus it's an interesting thread and attempts to cover some of these items more logically than several others.

[ciuciu]

How dare you nimda to base your post on mathematics?

[nimda]

I heard my name, so I'd better sub - plus it's an interesting thread and attempts to cover some of these items more logically than several others.

Actually I was about to ask if it was OK to use your name -- I assumed so, as my posts don't portray you in a negative light -- but it's best to be sure. I should probably PM PayB.tc soon.

As for the logic, I saw theymos' post about "local rules" and decided that there are enough "Pirate is a ponzi" arguments already.

How dare you nimda to base your post on mathematics?

Well... uhhh... how dare you not have defaulted on my deposit with you yet? SO THERE!

I'm open to anyone pointing out math flaws -- a fatal rounding error which when combined with a year of compound interest states that tennis racket companies pay more than pirate, or my algebra being wrong, or it being against U.S. law to use e the way I did etc

Fun Fact: according to this book (which I highly recommend) in one state, a man successfully filed a patent on the "mathematical truth" that pi = 4.

[PatrickHarnett]

France legislated pi = 4 (since corrected)

There are other issues around that require attention too, but it is descending into hysteria like the Salem trials with the newest crusader messing things up rather than applying any logic or thought.  So, this thread is refreshing.

The concept of capital at risk is a bit novel, as you normally look at overall return.  Surely you want to know the result for all funds.  For example, as I progressively cash out my initial seed money, my return becomes higher and higher until it hits infinity.

[Bitcoin Oz]

Luckily I picked up 70 shares of YARR for 1.17 not long after the IPO 

[Jonny Heggheim]

P.P.S. Does anyone have a nice (command line or GUI) graphing tool for Windows?

You can use R to plot graphs, here are some examples: http://www.sr.bham.ac.uk/~ajrs/R/r-gallery.html

[nimda]

P.P.S. Does anyone have a nice (command line or GUI) graphing tool for Windows?

You can use R to plot graphs, here are some examples: http://www.sr.bham.ac.uk/~ajrs/R/r-gallery.html

Cool. I'm always open to new programming languages/environments.

Luckily I picked up 70 shares of YARR for 1.17 not long after the IPO 

Then you are a very lucky man

France legislated pi = 4 (since corrected)

There are other issues around that require attention too, but it is descending into hysteria like the Salem trials with the newest crusader messing things up rather than applying any logic or thought.  So, this thread is refreshing.

The math can be taken even further if we come up with investors confidence in each party. For example, if the investor thinks YARR, PPT.X, CPA, BitcoinMax etc is more likely to default than pirate himself.

The concept of capital at risk is a bit novel, as you normally look at overall return.  Surely you want to know the result for all funds.  For example, as I progressively cash out my initial seed money, my return becomes higher and higher until it hits infinity.

It may be novel, but it is the correct way to go about it. When I gave you money for the 1.5%/week compounding interest, the risk is the same for every satoshi I gave you. Either you default, or you don't, or you say "sorry, here's a partial return."
When Bob gives money to Alice, though, the risk varies. Some BTC is at risk of a pirate default, and some isn't. Some BTC is at risk of Starfish BCB defaulting, and some isn't. To accurately calculate the reward/risk ratio, we need to take that into account. The reason I had Bob give Alice money instead of investing himself is because YARR and PPT.X come as a "bundle:" you give them 1 or 0.32 BTC respectively that you are guaranteed, then you give them .89 or .75 BTC to gain interest, which you won't get back if pirate defaults. Furthermore, if the investor's confidence in usagi/CPA or the "cartel of lenders" is 100%, then the risk on the guaranteed portion is 0. The return can be 0 or negative.

I believe that my examples show that my model is correct. Now off to download R! (Not R-)

[nimda]

 
R has too much of a learning curve (get it? ) for me. Apparently, in order to plot two functions, you have to combine them into a matrix and stuff... it's just failing for me.

So... enjoy this :-/

Equations used are 0.05/(X-1) and 0.069*(X-1)+0.01

Now let's just check that math:
Scenario 1:
Alice buys a share of YARR for 1.782 BTC. She gets 0.06 weekly. On default:
1 BTC + 0.06w

Scenario 2:
Alice puts .782 into BitcoinMax and 1 into Starfish BCB. On default:
1 BTC + 0.01w + 0.053889w > 1 BTC + 0.06 w

So I did something wrong. It's actually closer to 1.725 BTC.

Edit: I should probably have given the YARR line a time value of 0%. In any case, this graphic is a "good enough" representation.

[nimda]

Just an update:
The price of YARR has dipped to 1.55 thanks to either someone who wanted out or someone who was taking profits.
I don't think I need to go through the math again; you can verify for yourself that this is the best publicly available deal in all of Bitcoin.

When doing math, I often like to take extremes. For example, when dealing with concentric circles, it's often useful to reduce the inner one to a point. Here's a few things to ponder:
-The system even works for calculations when you give everything to pirate. In that case, you value your money's time at 7% weekly, and you think pirate has a 0% chance of defaulting.
-Flip that and say you think pirate has a 100% chance of defaulting right NOW! (wait for it...)
In that case you shouldn't put any of your money in any pass-through.

Hmm... maybe we should do some calculations with defaulting chance. It comes with a few problems -- investors often have a hard time putting a percentage on risk, and the chance is often a curve: 1% chance of defaulting today, 10% by next week... so on until 95% within 2 years etc

Also: to PPT-PR et all: I think this thread focuses a lot on YARR. This is simply because the market rate of YARR varies, and PPT-X has a simple solution: "buy at 1.07 or less to win."
Also, since the insured amount is smaller (0.32), the time value lost is just 0.0128. One could get this amount through faucets in a month.

[nimda]

I am going to put this here, since I have nowhere else

Quote from: nimda on Today at 02:48:43 AM
Let's look at that bold part. It is correct. However, at the time of my calculations, the market price of YARR was 1.9 Bitcoins. Therefore, an assessment based on 1.4 Bitcoins was absolutely useless. You couldn't get YARR for 1.4 Bitcoins.

Now for the blue part (color mine). I was "spreading FUD" about 1.9 because that was the price. You couldn't get a share of YARR for less than 1.9 Bitcoins.

Simply not true.

Hmph. I say it's simply true! You cannot contest historical market price data; that's preposterous.

[nimda]

This is my last attempt at a very formal representation of my model. I will post a series of consecutive numbered statements (some premises, some conclusions, and some if-then statements. Maybe I'll even use 'iff'). Where a conclusion depends on a premise, the premise will have a lower number than the conclusion, and the premise's number will be in parenthesis before the conclusion.

If anyone has a problem with the following document, I request that he or she address individual points.

Emotional denouncement and disclaimer: I have used the following model to make investment choices, which included buying shares of YARR. The following model is not an attack on usagi, CPA, YARR, pirateat40, Bitcoin Savings and Trust, or the GLBSE.com platform.

(0)This document will ignore the "face value" of bonds, because bonds cannot be purchased by an investor at face value. It will similarly ignore no longer relevant market data.

Definitions
1. "pirate" is the colloquial name for bitcointalk.org user pirateat40. In this document, 'pirate' refers to the service he operates, "Bitcoin Savings and Trust." This service offers a maximum of 7% per week.
2. "GLBSE" is a securities exchange located at glbse.com
3. (1)(2)"YARR" is a fixed-return instrument distributed via GLBSE. It provides dividends of 0.06 BTC/unit/week by investing coins with pirate.
4. (1)"pirate-exposed capital" is capital (denominated in Bitcoin) which will be completely lost by an investor if pirate defaults.
5. (1)"Insured Capital" is capital (denominated in Bitcoin) which will not be lost if pirate defaults.

Premises
6. (3)The current market price of YARR is 1.5499.
7. (3)An investor who wishes to buy a unit of YARR must pay close to the market price.
8. (3)(5)Regardless of YARR's market price, the Insured Capital per unit of YARR is 1 Bitcoin.
9. (3)(4)The pirate-exposed capital can be determined by subtracting the Insured Capital from the market price of YARR. To reiterate, this operation will result in the amount of capital which will be lost if pirate defaults.
10. (4) The pirate-exposed capital when investing directly in pirate without insurance is equal to the amount invested.

If-then and conclusions
(Logic refresher: An if-then statement can be considered an entity and evaluated to be true or false. An if-then statement is only false if there is a situation in which the premise is true and the conclusion is false. Thus, the statement "if Kevin Bacon is Bill Gates, then the world has already ended" is true.)
11. (9)The pirate-exposed capital of one share of YARR is currently .5499 BTC.
12. (10)(11)The pirate-exposed capital of .5499 BTC invested directly in pirate is equal to the pirate exposed capital of one share of YARR. To reiterate, this means that if (pirate defaults, and the investor had .5499 BTC in pirate) or (pirate defaults, and the investor had one share of YARR), then the investor will lose .5499 BTC.
13. (12) Another way of phrasing 12 is that the risk of one share of YARR is currently .5499 BTC, which is equal to the risk of .5499 BTC directly invested in pirate.
14. (3)(11)An investor in YARR is gaining 0.06 BTC per week by putting .5499 BTC at risk of a pirate default.
15. (14)The return divided by the risk is 0.109111 per week.
16. 0.109111 can be represented as 10.9111%
17. The Insured Capital of 1 BTC cannot be invested in other opportunities.
18. It is feasible to expect 1% per week return on near zero-risk bitcoin deposits.
19. (17)(18)Therefore, the 1 BTC Insured Capital represents a loss of 0.01 BTC in time value per week.
20. (14)(19)The true return on risk is 0.05 BTC.
21. (6)The return on total capital is 0.06 / 1.5499 =0.0387122
22. 0.0387122 can be represented as 3.87122%
23. (20)The true return on risk is 0.05 / .5499 = 0.0909256
24. 0.0909256 can be represented as 9.09256%
25. (23)(24)Given a time value of 1% per week, YARR represents a return on risked capital of over 9.09% per week. This is greater than the maximum 7% per week that pirate offers.


This can all be done with PPT.X, but first I'd like to hear some feedback, particularly from PatrickHarnett and usagi. Remember to address individual points that you perceive as incorrect.

[Sukrim]

You did not factor in the possibility to compound after dividend payments/buybacks though...

Especially for the PPT calculations: These don't pay 7% a week, they pay 28% in 4 weeks. YARR is even more extreme and pays out daily (except sundays).

I guess the sweet spot for PPT.X is still at ~1.07, but probably a bit below.

[nimda]

You did not factor in the possibility to compound after dividend payments/buybacks though...

Especially for the PPT calculations: These don't pay 7% a week, they pay 28% in 4 weeks. YARR is even more extreme and pays out daily (except sundays).

I decided to exclude compounding from the calculations. This is because of scalability. Compounding one share of YARR will take you 25 weeks. Compounding 1000 shares of YARR can be done daily, but not perfectly. It makes for a nicer assessment if we assume taking the payouts. If you have an algorithm which can be used on compounding when compounding can only be done with multiples of 1.55, that would be very cool. I suspect, however, that it would make for some wonky graphs, due to the higher the initial capital, the easier the compounding.

If someone wants to compound, BitcoinMax is probably a better idea than YARR, even at the current price of 1.55 BTC.

I guess the sweet spot for PPT.X is still at ~1.07, but probably a bit below.

That's the sweet spot for 7% weekly. The sweet spot for 6.9% weekly is slightly higher; take away the ability to compound and it's slightly lower.

[nimda]

Bump for Hashking's deposit and the GIPPT security.

[nimda]

I am proud to announce the possibility of...
A Pirate-Pass-Through paying MORE than 7% Weekly!

Here's how it works. Two investors get together, or are matched through a third-party. One is the low-risk seeker, and one wants huge returns. Here's an example:

Lender A wants low-risk returns. He has 300 BTC.
Lender B wants high-risk PPT returns. He has 195 BTC.

The two pool their money for a total of 495 BTC. They purchase 300 shares of YARR for 1.65 BTC each (yes, the market depth is there as of the time of this writing.) Every week, they get 18 BTC in dividends. They split it up in this way:

Lender A gets 3.375 BTC
Lender B gets 14.625 BTC

This means that their returns are:
Lender A: 3.375 / 300 = 1.125% weekly
Lender B: 14.625 / 195 = 7.5% weekly

If pirate defaults, Lender A gets the 300 BTC; Lender B gets nothing. Therefore, this scheme entitles one person to risk-free 1.125% weekly returns, and the other person to 7.5% weekly returns with the same risk as pirate-direct.

This is evidenced by my earlier analysis. At a price of 1.71 BTC, Lender A gets about 1% weekly and Lender B gets about 7% weekly.

There are at least 3 opportunities that this provides:
1. Get-together, as above
2. Just buy shares of YARR yourself and be both people
3. A third-party service which offers 1.1% and 7.1% returns, matches up depositors, covers the unmatched bits, and takes a cut.