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About the project

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.F=xK.Where FF is the force that is required to extend or compress a spring by some distance x scales linearly with respect to that distance.
KK is a constant factor characteristic of the spring, xx is the total possible deformation of the spring. Unlike any other Cryptocurrencies, Bancacy's supply can "extend" or "compress" just like a spring:F=cdF=cdWhere FF is the force to "extend" or "compress" the supply: positive value for extending the supply and negative value for compressing.
cc is the value of the price moving capital. Negative if the capital will be used for selling BNY and positive for buying.
dd is the demand of the token - can be referred to the buy and sell walls on the market.Δd,±c,±FΔd,±c,±F

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 AA 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:

A={(500,1.9$),(100,2$),(900,3$)...(800,15$)}A={(500,1.9$),(100,2$),(900,3$)...(800,15$)}

PP will be the current market price of BNY token. e.g:P=2.5$P=2.5$
ff is function on the objects in AA that returns the product of each Ordered Pair. ff wiil run twice, first on all the ordered pairs in which the second object is smaller than PP. Second run of ff will be on the ordered pairs in which the second object is bigger thanPP. The products will be inserted into 2 new sets BB ⊂⊂ R+R+ and CC ⊂⊂ R+R+ respectively. e.g:B={950,200,...}|B|=ObjectsIn:BB={950,200,...}|B|=ObjectsIn:B

C={2.700,...,12.000}|C|=ObjectsIn:CC={2.700,...,12.000}|C|=ObjectsIn:C


Each object in BB and CC 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=(|B|∑i=1xiP)+(|C|∑i=1xiPxi)+TS=(∑i=1|B|xiP)+(∑i=1|C|xiPxi)+T
TT is the current total BNY supply.
SS 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 s1s1 (first object in the ordered pairs - set AA) Sum of XBNY in Solidification s2s2 (sets B+CB+C).s1=(|A1|∑i=1xi)s2=(|B|∑i=1xi+|C|∑i=1xi)s1=(∑i=1|A1|xi)s2=(∑i=1|B|xi+∑i=1|C|xi)The division s2s1=Pws2s1=Pw is the weighted average "entry" price in $ for all the BNY in set AA. Now we can get the supply when the price PvPv is variable: s2Pvs2Pv. This sequence in equations development will lead us to the equation for % price movement and the effect on the supply:T=(1−PPw)∗(s2P)T=(1−PPw)∗(s2P)Where:
PP is the future price of BNY.
TT is the increase or decrease of BNY tokens(positive or negative values).

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