Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich...

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Digital Currencies Paolo Tasca Deutsche Bundesbank 1 CFS, Goethe University London School of Economics University College London ECUREX Research SUERF/Liberales Institut/University of Zurich CASH ON TRIAL November 5, 2015 1 The statements reflect the personal views of the speaker and do not necessarily coincide with the position of the Deutsche Bundesbank. Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 1 / 44

Transcript of Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich...

Page 1: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Digital Currencies

Paolo Tasca

Deutsche Bundesbank1

CFS, Goethe UniversityLondon School of Economics

University College LondonECUREX Research

SUERF/Liberales Institut/University of ZurichCASH ON TRIAL

November 5, 2015

1The statements reflect the personal views of the speaker and do not necessarilycoincide with the position of the Deutsche Bundesbank.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 1 / 44

Page 2: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

1 Bitcoin Protocol. Nuts and Bolts

2 Bitcoin as Payment Network

3 Bitcoin as Currency

4 Groups of Interest. Investors

5 Distribution of Income and Wealth

6 Take-home Message

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Page 3: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

What are Digital Currencies ?

Satoshi Nakamoto’s paper “Bitcoin: A Peer-to-Peer Electronic CashSystem” (http://nakamotoinstitute.org/)

Based on decentralised/distributed peer-validated time-stampedledgers (instead of trust-based centralised ledgers) publicly/privatelya

auditable.

Uses cryptography to verify indentities/transactions, and to expandthe monetary base at a constant pace.

aEg., Ripple, Hyperledger.

Combination betweendistributed ledger technology and cryptography:

BLOCKCHAIN TECHNOLOGY

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Page 4: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

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Page 5: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

What are Digital Currencies ?

Digital Currencies are money expressed as a string of bits sent as amessage in a network where nodes verify the authenticity of themessage via different mechanisms (e.g., PoW, PoS, PoB).

A digital currency is not only money:

payment system....and something more.

Digital Currencies differ among each others by:

Consensus protocol (synchronousa or asynchronousb).Rewarding mechanisms (money supply mechanism)

aSuch as Hyperledger.bSuch as Bitcoin.

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Page 6: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Why Blockchain technology is important ?

It allows for a trustworthy record of transactions among anonymous in allthose cases where the following operational structures are in place:

intermediation;

clearing and settlement;

record system;

rating or voting system;

databases;

distributed storage, authentication, anonymisation of privateinformation;

rewarding and punishing-incentive schemes;

transaction traceability schemes;

refereeing, arbitration or notarization.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 6 / 44

Page 7: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

How the Bitcoin protocol works ?

Money as a string of bits sent as a message in a network that verifies theauthenticity of the message via a proof-of-work / proof-of-stakemechanism.

1 Alice (A) want to give to Bob (B) one BTC (BTC).A will:

1 write a message: “I, A, am giving B one BTC with serial number123456”;

2 sign the message with a private cryptographic key;

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Page 8: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Figure: Generation of BTC address

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Page 9: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Private key, Signature, Public Key

K is used to receive BTCs.

k is used to sign transactions to spend BTCs. The signature isdifferent each time, but created from the same k.

Ownership and control over k is the root of user control over all fundsassociated with the corresponding BTC address.

Mathematical relationship between K and k that allows k to be usedto generate signatures on messages. This signature can be validatedagainst K without revealing k.

Through the presentation of the K and signature everyone in thenetwork can verify and accept the transaction as valid, confirmingthat the person transferring the BTCs owned them at the time of thetransfer.

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Page 10: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Figure: Digital Signature.

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Page 11: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Problem: We need a trusted source of serial numbers generator

Solution: Every node in the network collectively composes a“decentralised” bank that book keeps a unique public ledger calledblockchaina by:

provides serial numbers for BTCs;

keeps track of who has which BTCs;

verifies that transactions really are legitimate.

register in the ledger the passages of messages between users.

aEvery node with a desktop BTC client has an updated copy of theblockchain in its computer.

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Figure: The blockchain is a decentralised Ledger that works as Cash-flow Balanceinstead of an account Balance. The blockchain contains all the history of alltransactions (time-stamped) ever occurred in the Bitcoin network.

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Page 13: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

2 B – with his copy of the blockchain – does a sanity check that theBTC with serial number 123456 belongs indeed to A;

3 B will broadcast the signed string of bits to the entire network.

4 Other nodes in the network will collectively verify whether A holdsone BTC with serial number 123456.

4.1 David (D) receives the message “I, A, am giving B one BTC with serialnumber 123456” and queue it together with other messages recentlyreceived that must to be digested (pending transactions of the last 10mins not yet approved by the network). Together they form atransaction block.

4.2 With his copy of the blockchain and the public keys, D can verify thateach transaction in his block is valid.

4.3 D must solve an NP-hard computational puzzle before to broadcast tothe network the validity of the transactions: Proof-of-work principle.

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Page 14: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Proof-of-work. Mining is a competition to approve transactions

D needs to compute new hash values based on the combination of:

the previous hash value;

the new transaction block;

a nonce.

such that the new hash value start with a given number ≤ Target. TheTarget is automatically adjusted to ensure that a BTC block takes, onaverage, about ten minutes to validate.

A miners chance of winning the competition is roughly equal to theproportion of the total computing power that they control. Therefore,specific hardware has been produced.

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Page 15: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Figure: Any transaction of X BTCs from A to B must refer to previous transactions (Inputs)with which A received at least X BTCs. The verification process checks indeed if the inputsallow A to transfer X BTCs to B.

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Page 16: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

5 If D finds the suitable nonce, he will broadcast the message “Yes, Aowns BTC 123456, it can now be transferred to B” together with theother transactions in the transaction block and the nonce (s.t. thenetwork can check-test).

6 Everyone updates their blockchain to show that BTC 123456 nowbelongs to B, and the transaction is complete.

7 each transaction block contains a “coinbase” transaction that pays25 BTCs (as for now) to the winning-miner to a newly addresscreated on D name.

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Page 17: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Bitcoin as Payment Network. Network Expansion

The average amount transferred per Bitcoin transaction is larger thanin any other major payment network.

During the period 2011–2015, the average amount (in USD equivalent) pertransaction constantly increased, and remained larger than in the majorpayment networks such as Visa, Mastercard, Discover, or Western Union.

The Bitcoin network is mostly used to remit money from user to user.2

2Studies show that the amount migrants send per transaction typically rangesbetween USD 100 and USD 1,000 for international remittances (e.g., Sander C., 2003);

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Page 18: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Bitcoin as Payment Network. Network Expansion

10−4

10−2

100

102

104

1Q11

3Q11

1Q12

3Q12

1Q13

3Q13

1Q14

3Q14

1Q15

Nr. of Transactions

Visa

MasterCard

Discover

Western Union

Bitcoin

10−6

10−4

10−2

100

102

1Q11

3Q11

1Q12

1Q14

3Q14

1Q15

Transaction Volume (billion USD)

3Q12

1Q13

3Q13

Visa

MasterCard

Discover

Western Union

Bitcoin

Figure: Comparison between different payment networks. Left: Average (log) number of dailytransactions. Right: Average (log) amount of daily transactions in USD. Data source: Bitcoinblockchain, VISA, MasterCard, Discover, Western Union performance reports. Period: 1Q2011to 1Q2015. Internal calculation.

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Page 19: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Bitcoin as Payment Network. Network Expansion

Year VISA MasterCard Discover Western Union Bitcoin(Vol.) (Tx.) (Vol.) (Tx.) (Vol.) (Tx.) (Vol.) (Tx.) (Vol.) (Tx.)

1Q11 15,153.8 198.3 8,011.0 65.6 746.5 14.7 208.8 0.6 0.04 0.0022Q11 16,604.4 213.2 8,934.1 72.5 787.0 15.7 226.4 0.62 1.6 0.0063Q11 17,033.0 217.7 9,285.7 77.1 787.0 15.4 231.9 0.63 0.92 0.0084Q11 17,450.5 223.6 9,505.5 84.4 761.3 15.1 226.4 0.65 2.1 0.0061Q12 16,934.1 215.7 9,329.7 84.8 804.3 15.8 214.3 0.62 0.7 0.0072Q12 17,252.7 218.7 9,780.2 93.8 861.1 17.5 220.9 0.64 1.04 0.0213Q12 17,582.4 225.3 10,087.9 95.4 860.9 17.6 216.5 0.63 2.47 0.0324Q12 18,648.4 236.8 10,835.2 101.3 840.1 16.8 219.8 0.64 2.45 0.0331Q13 18,120.9 227.9 10,406.6 95.1 819.2 16.1 207.7 0.61 8.12 0.0522Q13 19,109.9 245.6 11,087.9 104.1 856.1 17.0 225.3 0.66 26.2 0.0533Q13 19,175.8 252.1 11,494.5 109.9 850.5 17.1 231.9 0.69 19.3 0.0504Q13 20,197.8 259.9 12,142.9 114.0 883.8 17.2 236.3 0.71 108.65 0.0611Q14 19,011.0 249.9 11,483.5 108.2 850.4 16.5 223.1 0.66 91.01 0.0632Q14 20,274.7 269.6 12,351.6 116.6 892.2 17.6 239.6 0.70 52.35 0.0633Q14 20,703.3 275.9 12,714.3 120.5 881.0 17.5 242.9 0.72 51.07 0.0684Q14 20,879.1 285.4 12,879.1 127.1 912.0 17.7 233.0 0.72 60.1 0.0841Q15 19,263.74 275.6 11,681.32 121.3 852.32 16.3 214.29 0.68 48.80 0.094

Table: Volume in million USD (Vol.) and millions of transactions (Tx).

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Bitcoin as Payment Network. Network Expansion

0

500

1000

1500

2000

1Q11

2Q11

3Q11

4Q11

1Q12

2Q12

3Q12

4Q12

1Q13

2Q13

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4Q13

1Q14

2Q14

3Q14

4Q14

1Q15

Average Amount per Transaction (USD)

Bitcoin

Western Union

MasterCard

Visa

Discover

Figure: Comparison between different payment networks. Average daily USD amount pertransaction from 1Q2011 to 1Q2015. Data source: Bitcoin blockchain, VISA, MasterCard,Discover, Western Union performance reports. Internal calculation.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44

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Bitcoin as Currency. Network Expansion

The relative capitalisation of Bitcoin with regard to other digitalcurrencies is receding in favour of Ripples.

Until mid-2014, Bitcoin dominated the digital currency market bycovering up to 95% of its total volume.

Since the 2nd part of 2014, the Bitcoin dominant position has beeneroded by Ripple, which now covers about 10% of the total marketcapitalisation.

Even though Bitcoin remains dominant on the digital currencymarket, the relative currency strength of Bitcoin has decreased – onaverage –, compared to that of the other (almost) existing 500 digitalcurrencies.

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Page 22: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Bitcoin as Currency. Network Expansion

01/11 07/11 01/12 07/12 01/13 07/13 01/14 07/14 01/15 07/15

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%Relative Market Cap

% Dogecoin

% Dash

% Litecoin

% Ripple

% Bitcoin

Figure: Relative market capitalisation of Bitcoin, Ripple, Litecoin, Dash, Dogecoin. Datasource : Coinmarketcap. Internal calculation.

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Page 23: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Bitcoin as Currency. Currency Competition

01/14 04/14 07/14 10/14 01/15 04/15 07/150

50

100

150

200

250

300

350

400Relative Currency Strength

BTCX

LTCX

XRPX

Figure: Comparison between relative index strengths. Ba= 100 on 01.01.2014 (BTCX, LTCX,XRPX). Internal calculation.

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Page 24: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Bitcoin as Currency. Currency CompetitionBTCX: rel. strength of BTC wrt LTC and XRP, weighted by: (1) their respective rel.market cap. expressed in USD; (2) the inverse of the BTC exchange rate volatility.

LTCX: rel. strength of LTC wrt both BTC and XRP, weighted by: (1) their respective rel.market cap. expressed in USD; (2) the inverse of the LTC exchange rate volatility.

XRP: rel. strength of XRP wrt both BTC and LTC, weighted by: (1) their respective rel.market cap. expressed in USD; (2) the inverse of the XRP exchange rate volatility.

Currency competition expressed in currency strength indices

BTCX := ∆BTC × Exp

{Log

[BTC/LTC

σ (BTC/LTC)

](WBTC ) + Log

[BTC/XRP

σ (BTC/XRP)

](1 −WBTC )

}LTCX := ∆LTC × Exp

{Log

[LTC/BTC

σ (LTC/BTC)

](WLTC ) + Log

[LTC/XRP

σ (LTC/XRP)

](1 −WLTC )

}XRPX := ∆XRP × Exp

{Log

[XRP/BTC

σ (XRP/BTC)

](WXRP) + Log

[XRP/LTC

σ (XRP/LTC)

](1 −WXRP)

}where:

WBTC =

(ωLTC

ωLTC + ωXRP

);WLTC =

(ωBTC

ωBTC + ωXRP

);WXRP =

(ωBTC

ωBTC + ωLTC

);

∆BTC , ∆LTC and ∆XRP are normalisation factors;

ωBTC , ωLTC , ωXRP : market capitalisation of BTC, LTC and XRP expressed in USD.

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Groups of Interest. Investors

Bitcoin startups raised almost USD 1 billion in three years with anannual investment growth rate of about 150%

Capital investments in Bitcoin-related startups is a recent trend thatstarted in 1Q 2012.

Since 1Q 2012, the Bitcoin industry represents the fastest growingsector for capital investment.

Within the Bitcoin sector, the Mining and Payment & Remittanceindustries drove the funding race.

21 Inc alone covered over half of the capital raised by the Miningindustry and Coinbase one third of the capital raised by the wholePayment & Remittance industry.

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Groups of Interest. Investors

0 1% 2% 3% 4% 5% 6% 7%

Classifieds

Drones

Banking

Crowdfunding

Human Resources

Travel

Health Insurance

Food & Beverages

Lending

Hospitality

Transportation

Space Travel

Physical Storage

Photo Sharing

Bitcoin

Relative Share of Dollars Raised

Figure: Relative Capital investment into different startup businesses during the periodmid-2012 till mid-2015. Data source: Mattermark. Internal calculation.

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Page 27: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Groups of Interest. Investors

0 20% 40% 60% 80% 100% 120% 140% 160%

Classifieds

Drones

Banking

Crowdfunding

Human Resources

Travel

Health Insurance

Food & Beverages

Lending

Hospitality

Transportation

Space Travel

Physical Storage

Photo Sharing

Bitcoin

Growth Rate of Startup Investment

Figure: Relative rate of growth of capital investment into different startup businesses duringthe period mid-2012 till mid-2015. Data source: Mattermark. Internal calculation.

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Groups of Interest. Investors

0

0.2

0.4

0.6

0.8

1

2012

Q1

2012

Q2

2012

Q3

2012

Q4

2013

Q1

2013

Q2

2013

Q3

2013

Q4

2014

Q1

2014

Q2

2014

Q3

2014

Q4

2015

Q1

Funding Scale (2012−2015)%

of

Deals

wit

h D

iffe

ren

t F

un

din

g S

cale

0

2

4

6

8

10

Av

era

ge F

un

din

g A

mo

un

t (m

illi

on

US

D)

>10 million

1~10 million

0.5~1 million

0.1~0.5 million

<0.1 million

Figure: Bar chart: Percentage of deals in different funding scales, from Q1/2012 to Q1/2015.Line chart: Average funding amount per deal in each quarter. Data source: Bitangel, Cbinsight,Coinfilter, Coindesk, Crunchbase. Internal calculation.

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Groups of Interest. Investors

Capital Market Payment and Financial Blockchain Mining MiscellaneousRemittance Services Application Industry

Exchange Payment Accounting Smart Contracts Mining Solutions Bitcoin FaucetDerivatives Remittance Security Blockchain API Mining Pool TippingCommodity Wallet ATM MessagingInstitutional Trading Market andCrowdfunding and Data AnalysisCrypto Equity

Table: Classification of business categories in the Bitcoin industry.

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Groups of Interest. Investors

0

5

10

15

20

25

30

35

2012

Q1

2012

Q2

2012

Q3

2013

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2013

Q1

2013

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2013

Q3

2013

Q4

2014

Q1

2014

Q2

2014

Q3

2014

Q4

2015

Q1

Number of Deals

Payment & Remittances

Mining Industry

Capital Market

Blockchain Application

Financial Service

Miscellaneous

0

50

100

150

200

250

2012

Q1

2012

Q2

2012

Q3

2012

Q4

2013

Q1

2013

Q2

2013

Q3

2013

Q4

2014

Q1

2014

Q2

2014

Q3

2014

Q4

2015

Q1

(mil

lio

n U

SD

)

Quarterly Funding Amount for Bitcoin Startups

Payment & Remittances

Mining Industry

Capital Market

Blockchain Application

Financial Service

Miscellaneous

Figure: Left: Quarterly number of deals for startups in different Bitcoin industries. Right:Quarterly funding amount for startups in different Bitcoin industries. Data source: Bitangel,Cbinsight, Coinfilter, Coindesk, Crunchbase. Internal calculation.

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Groups of Interest. Investors

0

20

40

60

80

<0.1

mill

ion

0.1−

0.5

mill

ion

0.5−

1 m

illio

n

1−10

mill

ion

>10 m

illio

n

Number of Deals in Each Funding Scale (2012−2015)

Num

ber

of

Deals

Miscellaneous

Blockchain Application

Mining Industry

Financial Service

Capital Market

Payment & Remittances

Figure: Number of deals in each funding scale (Q1/2012 to Q1/2015). Deals in each fundingscale are further divided into business categories. Data source: Bitangel, Cbinsight, Coinfilter,Coindesk, Crunchbase. Internal calculation.

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Groups of Interest. Investors

8%3%

4%4%

8%

8%

9%10%

12%

33%

Payment & Remittances

CoinbaseXapoBitPayBlockchainBitnet TechnologiesCircle Intenet FinancialBitGoBitReserveRipple LabsOthers

33%

3%4%

5% 5% 6%7%

9%

10%

18%

Capital Market

BitstampOKCoinHuobiBTCJamPaywardMirrorBitGoldBTC ChinaKorbitOthers

3%4%5%

14%

19%

55%

Mining Industry

21 IncBitFuryKnCMinerSpondoolies−TechCoinSeedOthers

2%4%5%

6%

23%

23%

36%

Blockchain Application

BlockstreamChainPeerNovaGemBlockCypherColuOthers

8%3%

4%4%

8%

8%

9%10%

12%

33%

Payment & Remittances

CoinbaseXapoBitPayBlockchainBitnet TechnologiesCircle Intenet FinancialBitGoBitReserveRipple LabsOthers

33%

3%4%

5% 5% 6%7%

9%

10%

18%

Capital Market

BitstampOKCoinHuobiBTCJamPaywardMirrorBitGoldBTC ChinaKorbitOthers

3%4%5%

14%

19%

55%

Mining Industry

21 IncBitFuryKnCMinerSpondoolies−TechCoinSeedOthers

2%4%5%

6%

23%

23%

36%

Blockchain Application

BlockstreamChainPeerNovaGemBlockCypherColuOthers

Figure: Funding distribution among startups within main categories (Q1/2012 – Q1/2015).Data source: Bitangel, Cbinsight, Coinfilter, Coindesk, Crunchbase. Internal calculation.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 32 / 44

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Distribution of Income and Wealth.

The wealth distribution in the Bitcoin ecosystem is highlyunequal,and this inequality is growing.

The inequality of the distribution of Bitcoins amongst addresses,summarised by the Gini coefficient grew from 0.09 in 2010 to 0.99in 2015.

During the period 2009-2015, the top 100 richest addresses kept aconstant relative wealth, totalling about 20% of the total value ofthe Bitcoin economy.

The Bitcoin mining market is under control by 5 to 7 major miningpools.

During the period 2013-2015, the cumulative market share of thelargest 10 pools relative to the total market hovered in the 70% –80% range.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 33 / 44

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Distribution of Income and Wealth. Users

! !

Figure: Lorenz Curve and Gini Coefficient for the Bitcoin Economy. Percentile of addressessorted by wealth wrt to the percentile of the wealth own.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 34 / 44

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Distribution of Income and Wealth. Users

! !

Figure: Lorenz Curve and Gini Coefficient for the Bitcoin Economy. Percentile of addressessorted by wealth wrt to the percentile of the wealth own.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 35 / 44

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Distribution of Income and Wealth. Users

! !

Figure: Lorenz Curve and Gini Coefficient for the Bitcoin Economy. Percentile of addressessorted by wealth wrt to the percentile of the wealth own.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 36 / 44

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Distribution of Income and Wealth. Users

The Gini coefficient (G) is an inequality index of income or wealth.3

G can be calculated from unordered size data as half of the Relative MeanDifference (RMD), which is the average absolute difference between everypossible pair of values, divided by the mean size µ,

G =RMD

2with : RMD =

MD

µ,MD =

1

n2

n∑i=1

n∑j=1

|xi − xj |

G=0: every person receives the same income;

G=1: theoretical value for n→∞ where a single person receives100% of the total income and the remaining people receive none

xi : income or wealth of person i .

n: population size.

3Gini C., Variabilita’ e mutabilita’, 1912, reprinted in Memorie di metodologica statistica(Ed. Pizetti E, Salvemini, T). Rome: Libreria Eredi Virgilio Veschi 1955.

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Distribution of Income and Wealth. UsersThe Lorenz curve can be represented by a function L(F ) where:

F is the cumulative portion of the population represented by thehorizontal axis;

L is the cumulative portion of the total wealth or income representedby the vertical axis.

For a discrete probability function f (y), let yi , i = 1, .., n, be the pointswith non-zero probabilities indexed in increasing order (yi < yi+1). TheLorenz curve is the continuous piecewise linear function connecting thepoints (Fi , Li ), i = 0, ..., n, where F0 = 0, L0 = 0, and for i = 1, ..., n:

Fi =i∑

j=1

f (yj)

Li =SiSn

with Si =i∑

j=1

f (yj)yj

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 38 / 44

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Distribution of Income and Wealth. Users

10%

20%

30%

40%

50%

60%

70%

80%

90%

100%

01.09 04.10 12.10 10.11 09.12 08.13 05.14 03.15

Percent of Bitcoins Owned by Richest Addresses

Top 500Top 100

1 2 3 4 5 10 50 100 1500

50

100

150

200

250

300

Magnitude (thousand Bitcoin)

Fre

quency

Wealth Distribution of Top 500 Richest Addresses

2010

2011

2012

2013

2014

Figure: Left: Relative wealth of the top 100 and 500 richest Bitcoin addresses. Right: Wealthdistribution among the top 500 richest Bitcoin addresses (with x-axis log-transformed). Datasource: Bitcoin blockchain. Internal calculation.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 39 / 44

Page 40: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Distribution of Income and Wealth. Users

MtGox

Xapo

AgoraBitcoinFog

BitPay

KnCMiner

GHash

mining.bitcoin

Btcst MyBitcoin

Bitcoin-24

MPEx

ASICMiner

BTCGuild

Bitcoinica

Just-Dice

SealsWithClubs

SilkRoad2

SilkRoad

DeepBit

BetcoinDice

Instawallet

Evolution

BitZino

BitZillions

SatoshiDice

BTCChina

796

Btc38

CampBX

AnxPro

VirWoX

BitVC

BitYes

ChBtc

Cavirtex

OKCoin

Kraken

Bter

Bitfinex

Huobi

Bitcoin

LocalBitcoins

Cex

Bitstamp

Cryptsy

BTC-e

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 40 / 44

Page 41: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Distribution of Income and Wealth. Users

MtGoxXapo

Agora

BitcoinFog

BitPay GHash

Btcst

MPEx

Bitcoinica

Just-Dice

SilkRoad

Instawallet

SatoshiDice

BitVC

OKCoin

Bitfinex

Huobi

Bitcoin

LocalBitcoinsBitstamp

BTC-e

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 41 / 44

Page 42: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Distribution of Income and Wealth. Users

100BTC 1000BTC 10000BTC 100000BTC

101

102

103

104

105

Fre

quen

cy

Income Distribution for All Clusters (bin size: 100BTC)

Power Law Function:

y = (2.0133e+05) * x−1.2038

MSE: 1794790.7437

R2: 0.89329

Figure: Income distribution for all clusters. Data source: Bitcoin Core parsed from the 3rd ofJanuary 2009 until the 8th of May 2015. Total nr. addresses: 75,191,953. Total nr. clusters(contains at least addresses): 30,708,660 (9,847,999 ≥ 2 nodes) and 4,810,342 with non-zerobalance. Total TXs between clusters: 88,950,021. Internal calculation.

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Distribution of Income and Wealth. Miners

0

5

10

15

20

~500

~4500

~6500

~8500

~1050

0

~1250

0

~1450

0

~1650

0

Ditrib. of Mining Pools per Nr. of Blocks Mined

~2500

2013

2014

01/13 07/13 01/14 07/14 01/1540%

50%

60%

70%

80%

90%

100%Market Share of Top 5/10 Mining Pools

Top 10

Top 5

Figure: Left: Distribution of mining pools per number of blocks. Right: Market share of top 5and 10 mining pools. Data source: Blocktrail. Internal calculation.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 43 / 44

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Distribution of Income and Wealth. MinersGhash.IO hashing power was close to “51% attack” for several times.

01/13 05/13 09/13 12/13 04/14 08/14 12/14

20%

40%

60%

80%

100%Distribution of Transaction Fee in Each Diffeculty Level

Unknown

Others

BTCChina Pool

P2Pool.org

DeepBit

Ozcoin

CloudHashing

KNCMiner

Bitfury

AntPool

EclipseMC

ASICMiner

BitMinter

50BTC

Slush

Eligius

DiscusFish / F2Pool

BTC Guild

GHash.IO

Figure: Top 17 mining pools (out of 40) per relative amount of fees earned. In each difficultylevel, transaction fees collected by each mining pool are summed up and compared to the totalfees earned and collected by the market. Period: From January 2013 to February 2015. Datasource: Blocktrail. Internal calculation.

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Distribution of Income and Wealth. Miners

01/13 05/13 09/13 12/13 04/14 08/14 12/140

500

1000

1500

20002

01

6 B

lock

s in

Each

Dif

ficu

lty

Lev

el

Mining Market Share among Countries (by number of blocks)

Unknown

USA

Global

Europe

China

Figure: Top mining activity per country. Mining pools are classified per country of operation.Many mining pools operate in different countries (e.g, BTC Guild and BitMinter run theirmining operation in both USA and Europe), so they are classified as “Global”. Period: fromJanuary 2013 to February 2015. Data source: Blocktrail, Bitcoin Wiki (comparison of miningpools). Internal calculation.

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Page 46: Digital Currencies - Liberales InstitutPaolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 20 / 44. Bitcoin as Currency. Network Expansion The relative capitalisation

Take-Home Message

1 The average amount transferred per Bitcoin transaction is larger than in any other majorpayment network.

2 The relative capitalisation of Bitcoin with regard to other digital currencies is receding infavour of Ripple’s.

3 China is the largest country in the world per: (1) number of active Bitcoin clients; (2)mining capacity; (3) volume of Bitcoins exchanged via electronic trading platforms.

4 Bitcoin startups raised almost USD 1 billion in three years with an annual investmentgrowth rate of about 150%.

5 In Jan. 2015 the Bitcoin volume exchanged on electronic trading platforms reached 50%of the total number of Bitcoins ever mined at that time.

6 During the year 2014, the transaction costs in digital currencies dropped significantly.

7 The year 2014 saw fewer incidences and less arbitrage opportunities than the previousyears. In effect, the digital currency market is becoming more efficient.

8 The wealth distribution in the Bitcoin ecosystem is highly unequal, and this inequality isgrowing.

9 The Mining industry is consolidating as an oligopoly.

Paolo Tasca (BBK) SUERF/Liberales Institut/Univ. of Zurich November 5, 2015 46 / 44