Digital Commodity Money That Solidifies.

Asset Solidification | Self-Governance | Incentive-Based Ecosystem.

**Bancacy is an innovative and decentralized digital asset class that is establishing new form of Money. The ecosystem utilize BNY/XBNY Cryptocurrencies for Asset Solidification, Investments and Passive Income in aspiration to deliver fully independent and immutable Digital Money powerd by the Blockchain.
Bancacy derives its nature from Hooke's law of physics:
$$F = xK.$$ Where \(F\) is the force that is required to extend or compress a spring by some distance x scales linearly with respect to that distance. \(K\) is a constant factor characteristic of the spring, \(x\) is the total possible deformation of the spring.
Unlike any other Cryptocurrencies, Bancacy's supply can "extend" or "compress" just like a spring:
$$F =cd $$
Where \(F\) is the force to "extend" or "compress" the supply: positive value for extending the supply and negative value for compressing.
\(c\) is the value of the price moving capital. Negative if the capital will be used for selling BNY and positive for buying.
\(d\) is the demand of the token - can be referred to the buy and sell walls on the market.
$$ \Delta d , \pm c , \pm F $$
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The above is general explanation for understanding the Bancacy protocol.
The equation below will be used to calculate the supply at any given point of time:
Let \(A\) to be price ordered set that each object is an Ordered Pair of: BNY tokens that are in Solidification and the entry price of it. e.g:
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$$ A=\{(500 , 1.9$) , (100 , 2$) , (900,3$)...(800 , 15$)\} $$
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\(P\) will be the current market price of BNY token. e.g:
$$ P = 2.5$ $$
\(f\) is function on the objects in \(A\) that returns the product of each Ordered Pair. \(f\) wiil run twice,
first on all the ordered pairs in which the second object is smaller than \(P\). Second run of \(f\)
will be on the ordered pairs in which the second object is bigger than\(P\).
The products will be inserted into 2 new sets \(B\) \(\subset\) \(\mathbb {R^+} \) and \(C\) \(\subset\) \(\mathbb {R^+} \) respectively. e.g:
$$ B = \{950 , 200 , ... \} |B| = Objects In: B $$
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$$ C = \{ 2.700 , ... , 12.000\}|C| = Objects In: C $$
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Each object in \(B\) and \(C\) represent XBNY tokens amount. So if all of these XBNY tokens get converted back to BNY, again,
The total supply at that moment will be:
$$ S = (\sum_{i=1}^{|B|} \frac {x_i}P ) + (\sum_{i=1}^{|C|} \frac {x_i}P x_i) + T $$
\(T\) is the current total BNY supply.
\(S\) is the BNY supply at any given point in time.
Now we would like to express the relation between the price fluctuation and the supply, the equation that represent this relation need to take the sum of BNY in Solidification \(s_1\) (first object in the ordered pairs - set \(A\))
Sum of XBNY in Solidification \(s_2\) (sets \(B+C\)).
$$ s_1 = (\sum_{i=1}^{|A_1|} x_i )\qquad s_2 = (\sum_{i=1}^{|B|} x_i +\sum_{i=1}^{|C|} x_i) $$
The division \(\frac {s_2}{s_1} = P_w\) is the
weighted average "entry" price in $ for
all the BNY in set \(A\). Now we can get the supply when the price \(P_v\) is variable: \(\frac{s_2}P_v\).
This sequence in equations development will lead us to the equation for % price movement and the effect on the supply:
$$T = (1-\frac{P}{P_w} ) *(\frac{s_2}{P})$$
Where:
\(P\) is the future price of BNY.
\(T\) is the increase or decrease of BNY tokens(positive or negative values).
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**Bancacy is solving Two primary problems in our current Cryptocurrencies ecosystem:**

**Asset Solidification** Eliminating the fear of missing opportunities due to market instability — Asset Solidification smart contract will be deployed after BNY market and price reaches maturity.

**SELF-GOVERNANCE** Exhaustive decentralization and independence from central authority after Asset Solidification smart contract deployment.

**Incentive Based Ecosystem** Enabling maximum appeal directed toward investors and durable passive income aspirants.

**Asset Solidification**—The fundamental aspect in Bancacy that will allow investors to solidate and bond thier BNY value in USD utilizing BNY in sake of eliminating any fiat backed Cryptocurrency or reliance on third party integrity. Three Smart Contracts will interact among each other in order to act as vicarious for fiat backed Cryptocurrency, accomplishing self-determined Asset Solidification adopting BlockChain technology for the sake of replacing existing centralized platforms.

The BNY Cryptocurrency will implement the economic model for interest rate upon deposit in Two methods:

**Investments**—User friendly feature that allow investors to invest their tokens and receive their initial investment + Dynamic interest rate upon investment term period passed.

**Passive Income**— Complementary for the Investment function, Passive Income will entitle the user a daily basis stream of income branched into 365 days.

Dynamic Interest Rate will ensure that the inflation rate for BNY will stay flat as well as gradually equitable toward all users via mechanism that compensate the early investors with ameliorated Interest Rate in distinction to the later investors . Investments is divided into 3 categories that are sorted by investment length and each will have its own Interest rate permissive larger rate for greater duration with starting point at 0.16% up to 12.8% per year. To eliminate minting of BNY, those functiltes will be restricted in a way that if theoretically all the BNY supply is invested in the platform, The interest Rate will be 0. That in purpose of establishing balanced ecosystem that guarantee profitability for all the Investors.

**WhitePaper**
, along with the documents and information referenced therein, is required reading for any Bancacy owner.

Bancacy will be offered to the public via an autonomous descending price sale, The authors will receive a one-time retention of 17% (168.3 million) of the initial BNY supply, those will be used for long-term project development. The public ascending price sale will take place at Bancacy launch, 54% of the supply will be offered to the public. 6% of the total supply will be utilize in private sale for Bancacy partners. 23% of BNY supply will be provided for Initial Exchange Offering.

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A project as advanced and ambitious as Bancacy requires known, proven talent and leadership in cryptocurrencies—people who uniquely understand the engineering and marketplace challenges.