📈cyber-valley/legal/annexes/annex e century index.md

Annex E — Century Index

Annexed to hak sewa template. It sets the rent of the century index form (3.1–3.4), the renewal price (2.4), the Guarantee Fund unit (3.5) and the service charge cap (11.4). The rules follow the century index protocol. The daily level, its history, the calculator and worked examples are published at cyberia.my/cx.

E1. Terms

term meaning
Century Index a fixed basket of eight world assets used as the unit of account
leg one asset of the basket
weight the share of a leg in the basket at signing
quantity the amount of a leg the obligation holds: satoshi, grams of gold, barrels of oil; fixed at signing for the Term
fix the published price of a leg in dollars for one day
TWAP the average of a leg's daily fixes over the trailing 365 days
bitcoin fix the TWAP of BTC/USD, used as the ruler of the collar and the floor
satoshi one hundred-millionth of a bitcoin
collar the band within which the rent may change from one lease year to the next
floor the lowest rent: the year-0 rent in bitcoin and in dollars
JISDOR Bank Indonesia's daily USD/IDR reference rate
anniversary the same calendar day as signing, in each later year of the Term

E2. Basket

leg weight primary fix fallback
BTC 20% Pyth BTC/USD daily close CME CF BRR, then the median of three named exchanges
ETH 15% Pyth ETH/USD daily close CME CF ETH RR, then the median of three named exchanges
GOLD 15% Pyth XAU/USD LBMA PM fix, then COMEX settle
CNY 15% Pyth USD/CNH WM/Refinitiv, then PBOC parity
USD 15% 1 —
CU 10% LME copper cash settle COMEX HG settle
OIL 5% ICE Brent front-month settle EIA Brent spot
UX 5% CME UxC U3O8 front-month settle UxC or TradeTech weekly spot

E3. Formulas

Quantities, fixed at signing:

qᵢ = wᵢ · R₀ ÷ Pᵢ(t₀)
symbol meaning
qᵢ the quantity of leg i
wᵢ the weight of leg i
R₀ the year-0 rent, in dollars
Pᵢ(t₀) the TWAP of leg i on the signing date

Value of the basket on day t:

I(t) = Σ qᵢ · Pᵢ(t)
symbol meaning
I(t) the value of the basket, in dollars
Σ the sum over the eight legs
qᵢ the quantity of leg i
Pᵢ(t) the TWAP of leg i on day t

The basket in bitcoin:

S(t) = I(t) ÷ X(t)
symbol meaning
S(t) the value of the basket, in bitcoin
I(t) the value of the basket, in dollars
X(t) the bitcoin fix on day t

Rent of a lease year, in bitcoin:

R(t) = clamp( S(t), 0.85 · R(t−1), 1.35 · R(t−1) ),   at least max( S₀, F ÷ X(t) )
symbol meaning
R(t) the rent of the lease year starting at anniversary t, in bitcoin
clamp S(t), held between the lower and the upper bound that follow
S(t) the value of the basket in bitcoin at anniversary t
R(t−1) the rent of the previous lease year, in bitcoin; for the first year, S₀
S₀ the year-0 rent in bitcoin: R₀ ÷ X(t₀)
F the year-0 rent in dollars: R₀
X(t) the bitcoin fix at anniversary t

Monthly instalment, in rupiah:

M = R(t) · X(t) · J ÷ 12
symbol meaning
M the instalment of the month
R(t) the rent of the lease year, in bitcoin
X(t) the bitcoin fix at anniversary t
J JISDOR on the invoice date of the month

E4. Rules

rule text
T1 Annex first this annex governs over the prose of the deed
Quantities the quantities are fixed at signing for the Term; they pass with the lease on assignment, succession and renewal
Yearly amount at each anniversary the rent of the coming lease year is computed from the fixed quantities at the TWAP prices, with the window closing 30 days before the first payment of that year; the Holder knows the year's rent a month ahead
Collar the rent of a lease year moves at most +35% or −15% in bitcoin from the year before; an increase beyond the band lapses
Floor the rent stays at or above its year-0 value in bitcoin and in dollars
T6 Settlement invoices settle in rupiah at JISDOR on the invoice date, under UU 7/2011; conversion follows the collar and carries the full rupiah rate
T2 Asset falls a leg that falls in price, even to zero, stays in the basket
T3 Price source ends a source is ended by cessation, 30 days without publication or a change of method; the price then comes from the named fallback, then a successor named by the regulator, then an equivalent fix set by an independent expert, with the last TWAP as a bridge. Where every bitcoin source ends, the ruler becomes the dollar
T5 Recomputation the Holder may recompute any invoice from public sources within 30 days; the recomputation prevails and manifest errors are corrected back to their date
T7 Continuity the same quantities define the obligation whoever the parties are
T8 On-chain fix the fix published by the cx oracle serves as evidence; the computation from the named public sources prevails
Publication the register publishes each year's computation with every fix used; cyberia.my/cx publishes the daily level

E5. Form at signing

field value
signing date t₀ [___]
R₀, year-0 rent USD [___]
F, dollar floor USD [___]
X(t₀), bitcoin fix USD [___]
S₀, year-0 rent in bitcoin [___] BTC
leg weight TWAP at signing, Pᵢ(t₀) quantity qᵢ
BTC 20% [___] [___] BTC
ETH 15% [___] [___] ETH
GOLD 15% [___] [___] g
CNY 15% [___] ¥ [___]
USD 15% 1 $ [___]
CU 10% [___] [___] kg
OIL 5% [___] [___] bbl
UX 5% [___] [___] lb U₃O₈

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