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Compare two portfolios with different costs
### A Pluto.jl notebook ###
# v0.19.42
using Markdown
using InteractiveUtils
# This Pluto notebook uses @bind for interactivity. When running this notebook outside of Pluto, the following 'mock version' of @bind gives bound variables a default value (instead of an error).
macro bind(def, element)
quote
local iv = try Base.loaded_modules[Base.PkgId(Base.UUID("6e696c72-6542-2067-7265-42206c756150"), "AbstractPlutoDingetjes")].Bonds.initial_value catch; b -> missing; end
local el = $(esc(element))
global $(esc(def)) = Core.applicable(Base.get, el) ? Base.get(el) : iv(el)
el
end
end
# ╔═╡ 6c112634-0ff7-4b97-a88b-1f04246a79b9
begin
using Dates
using MortalityTables
using DifferentialEquations
using Plots
using ActuaryUtilities
using UnPack
using Test
using PlutoUI
using Measurements
using StatsPlots
# using MonteCarloMeasurements
using Memoization
end
# ╔═╡ 2946a0cd-6f90-499a-a8e1-c614e04b43ac
using LaTeXStrings
# ╔═╡ e90d923a-f5d5-4af2-95bb-78a33ceb91f2
gr()
# ╔═╡ 69a5a3ba-9358-4ebe-bbf3-e3587b183b94
@fastmath function nthroot(n::Integer, r::Real)
r < 0 || n == 0 && throw(DomainError())
n < 0 && return 1 / nthroot(-n, r)
r > 0 || return 0
x = r / n
prevdx = r
while true
y = x ^ (n - 1)
dx = (r - y * x) / (n * y)
abs(dx) ≥ abs(prevdx) && return x
x += dx
prevdx = dx
end
end
# ╔═╡ ca24909e-2ff3-41fb-83c8-7b3e91bb8246
function policy_projection(state,p,t)
@unpack int_rate,percentag_cost_yearly,percentage_cost_initial,monthly_payment = p
# grab the state from the inputs
asset_value= state
total_costs = 0.0
total_earnings = 0.0
# # calculated variables
cur_date = p.issue_date + Day(t)
dur = duration(p.issue_date,cur_date)
# # Calculate daily earnings
dp = 1.0/360.0
daily_earnings = sign(int_rate)*asset_value *nthroot(360,abs(int_rate))
total_earnings += daily_earnings
# @show total_earnings total_costs asset_value
if Dates.monthday(cur_date) == Dates.monthday(p.issue_date)
total_costs+= percentag_cost_yearly*max(0,asset_value)
end
if cur_date ==p.issue_date + Day(1) # first issue date
total_costs += percentage_cost_initial*max(0,asset_value)
end
if Dates.day(cur_date) == Dates.day(p.issue_date)
total_earnings += monthly_payment
end
new_av = asset_value - abs(total_costs) + total_earnings
return new_av # AV, Prem, Dur
end
# ╔═╡ 84c541a5-f810-41f2-b5ad-965dded27109
function params(;int=0.06±0.01 ,percentag_cost_yearly=1.84/100,percentage_cost_initial=5.75/100,money0 = 1000.0 ,projection_years=35,monthly_payment=800.0)
return ( int_rate = int,
percentag_cost_yearly=percentag_cost_yearly,
percentage_cost_initial=percentage_cost_initial,money0=money0,
issue_date = Date(2010,1,1),projection_years=projection_years,monthly_payment=monthly_payment)
end
# ╔═╡ d91f8784-9539-44d4-bd15-deb602f3a6fa
md"""
Mean interest per year (in\%):
$(@bind interest_mean Slider(-10.0:0.1:10.0, default=3,show_value=true))
Years:
$(@bind projection_years Slider(1:1:60, default=25,show_value=true))
"""
# ╔═╡ a2bed4fc-7170-4b0f-b46d-f68e323ae95d
stock_gain_per_year = interest_mean/100.0 #± interest_std/100
# ╔═╡ 62bdccbf-ec6d-4005-ac54-562fec556420
begin
monthly_payment = 1000.0
p = params(int=stock_gain_per_year,projection_years=projection_years,percentag_cost_yearly=1.84/100+0.22/100,monthly_payment=monthly_payment)
projection_end_date = p.issue_date + Year(p.projection_years)
days_to_project = Dates.value(projection_end_date - p.issue_date)
prob = DiscreteProblem(policy_projection,p.money0,(0,days_to_project),p)
proj = solve(prob,FunctionMap())
pll= plot(getindex.(proj.u, 1),label="weird depot with costs",lw=3)
p = params(int=stock_gain_per_year,percentag_cost_yearly=0.22/100,percentage_cost_initial=0.0,projection_years=projection_years,monthly_payment=monthly_payment)
projection_end_date = p.issue_date + Year(p.projection_years)
days_to_project = Dates.value(projection_end_date - p.issue_date)
prob = DiscreteProblem(policy_projection,p.money0,(0,days_to_project),p)
proj2 = solve(prob,FunctionMap())
pll1 = plot!(pll,getindex.(proj2.u, 1),label="regular depot, few costs",lw=3)
# pll1 = mcplot!(pll,getindex.(proj2.u, 1))
pll2 = plot(vec(proj).-vec(proj2))
Plots.plot(pll1, ylabel="EUR",xlabel="days")
end
# ╔═╡ d202e829-f42b-4b3c-8dfe-a3749c6633b8
Plots.plot(pll2,title="Difference",xlabel="days",ylabel="difference in EUR")
# ╔═╡ 2008b4bf-947d-49fc-a6c9-4c5ad21c62e6
# 1000*(1-0.075)+6.0/100*1000-(1.84/100*6.0/100*1000)
# ╔═╡ 8453d087-8b3b-45e5-a07b-9633c33f623f
# proj.u[360][1]
# ╔═╡ a2cb25c9-82f5-4760-a611-44b3a6f756ab
# ribbonplot(proj.t,getindex.(proj.u, 1),q=(0.01,0.09); N=true)
# ╔═╡ 4dae1c94-84d5-4901-8eea-4ebf5e29ffe0
# ribbonplot(proj.t,getindex.(proj2.u, 1),q=(0.01,0.09); N=true)
# ╔═╡ 44c77e03-7a19-4150-bb56-397ccb42f501
# begin
# p11 = density(collect(getindex.(proj.u, 1)[end]), title="Density earnings weird")
# # density!(p1,getindex.(proj2.u, 1)[end], title="Density earnings normal")
# end
# ╔═╡ 00000000-0000-0000-0000-000000000001
PLUTO_PROJECT_TOML_CONTENTS = """
[deps]
ActuaryUtilities = "bdd23359-8b1c-4f88-b89b-d11982a786f4"
Dates = "ade2ca70-3891-5945-98fb-dc099432e06a"
DifferentialEquations = "0c46a032-eb83-5123-abaf-570d42b7fbaa"
LaTeXStrings = "b964fa9f-0449-5b57-a5c2-d3ea65f4040f"
Measurements = "eff96d63-e80a-5855-80a2-b1b0885c5ab7"
Memoization = "6fafb56a-5788-4b4e-91ca-c0cea6611c73"
MortalityTables = "4780e19d-04b9-53dc-86c2-9e9aa59b5a12"
Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80"
PlutoUI = "7f904dfe-b85e-4ff6-b463-dae2292396a8"
StatsPlots = "f3b207a7-027a-5e70-b257-86293d7955fd"
Test = "8dfed614-e22c-5e08-85e1-65c5234f0b40"
UnPack = "3a884ed6-31ef-47d7-9d2a-63182c4928ed"
[compat]
ActuaryUtilities = "~5.0.0"
DifferentialEquations = "~7.13.0"
LaTeXStrings = "~1.3.1"
Measurements = "~2.11.0"
Memoization = "~0.2.1"
MortalityTables = "~2.6.0"
Plots = "~1.40.4"
PlutoUI = "~0.7.59"
StatsPlots = "~0.15.7"
UnPack = "~1.0.2"
"""
# ╔═╡ 00000000-0000-0000-0000-000000000002
PLUTO_MANIFEST_TOML_CONTENTS = """
# This file is machine-generated - editing it directly is not advised
julia_version = "1.10.3"
manifest_format = "2.0"
project_hash = "34487fc5652c5cbc885828f325cdfc8cf3ed93a8"
[[deps.ADTypes]]
git-tree-sha1 = "016833eb52ba2d6bea9fcb50ca295980e728ee24"
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version = "0.2.7"
[[deps.AbstractFFTs]]
deps = ["LinearAlgebra"]
git-tree-sha1 = "d92ad398961a3ed262d8bf04a1a2b8340f915fef"
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version = "1.5.0"
weakdeps = ["ChainRulesCore", "Test"]
[deps.AbstractFFTs.extensions]
AbstractFFTsChainRulesCoreExt = "ChainRulesCore"
AbstractFFTsTestExt = "Test"
[[deps.AbstractPlutoDingetjes]]
deps = ["Pkg"]
git-tree-sha1 = "6e1d2a35f2f90a4bc7c2ed98079b2ba09c35b83a"
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version = "1.3.2"
[[deps.AbstractTrees]]
git-tree-sha1 = "2d9c9a55f9c93e8887ad391fbae72f8ef55e1177"
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[[deps.AccessibleOptimization]]
deps = ["AccessorsExtra", "ConstructionBase", "DataPipes", "Optimization", "Reexport", "Statistics"]
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[[deps.Accessors]]
deps = ["CompositionsBase", "ConstructionBase", "Dates", "InverseFunctions", "LinearAlgebra", "MacroTools", "Markdown", "Test"]
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AccessorsIntervalSetsExt = "IntervalSets"
AccessorsStaticArraysExt = "StaticArrays"
AccessorsStructArraysExt = "StructArrays"
AccessorsUnitfulExt = "Unitful"
[deps.Accessors.weakdeps]
AxisKeys = "94b1ba4f-4ee9-5380-92f1-94cde586c3c5"
IntervalSets = "8197267c-284f-5f27-9208-e0e47529a953"
Requires = "ae029012-a4dd-5104-9daa-d747884805df"
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StructArrays = "09ab397b-f2b6-538f-b94a-2f83cf4a842a"
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[[deps.AccessorsExtra]]
deps = ["Accessors", "CompositionsBase", "ConstructionBase", "DataPipes", "InverseFunctions", "Reexport"]
git-tree-sha1 = "8085aa0366c04042e8dcea339e4adcb59f86a685"
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[deps.AccessorsExtra.extensions]
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DictionariesExt = "Dictionaries"
DistributionsExt = "Distributions"
DomainSetsExt = "DomainSets"
FlexiMapsExt = "FlexiMaps"
FlexiMapsStructArraysExt = ["FlexiMaps", "StructArrays"]
LinearAlgebraExt = "LinearAlgebra"
SkipperExt = "Skipper"
StaticArraysExt = "StaticArrays"
StructArraysExt = "StructArrays"
TablesExt = "Tables"
TestExt = "Test"
URIsExt = "URIs"
[deps.AccessorsExtra.weakdeps]
ColorTypes = "3da002f7-5984-5a60-b8a6-cbb66c0b333f"
DictArrays = "e9958f2c-b184-4647-9c5a-224a61f6a14b"
Dictionaries = "85a47980-9c8c-11e8-2b9f-f7ca1fa99fb4"
Distributions = "31c24e10-a181-5473-b8eb-7969acd0382f"
DomainSets = "5b8099bc-c8ec-5219-889f-1d9e522a28bf"
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URIs = "5c2747f8-b7ea-4ff2-ba2e-563bfd36b1d4"
[[deps.ActuaryUtilities]]
deps = ["Dates", "Distributions", "FinanceCore", "FinanceModels", "ForwardDiff", "PrecompileTools", "QuadGK", "Reexport", "StatsBase"]
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deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXfixes_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "12e0eb3bc634fa2080c1c37fccf56f7c22989afd"
uuid = "935fb764-8cf2-53bf-bb30-45bb1f8bf724"
version = "1.2.0+4"
[[deps.Xorg_libXdmcp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "34d526d318358a859d7de23da945578e8e8727b7"
uuid = "a3789734-cfe1-5b06-b2d0-1dd0d9d62d05"
version = "1.1.4+0"
[[deps.Xorg_libXext_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "d2d1a5c49fae4ba39983f63de6afcbea47194e85"
uuid = "1082639a-0dae-5f34-9b06-72781eeb8cb3"
version = "1.3.6+0"
[[deps.Xorg_libXfixes_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libX11_jll"]
git-tree-sha1 = "0e0dc7431e7a0587559f9294aeec269471c991a4"
uuid = "d091e8ba-531a-589c-9de9-94069b037ed8"
version = "5.0.3+4"
[[deps.Xorg_libXi_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXfixes_jll"]
git-tree-sha1 = "89b52bc2160aadc84d707093930ef0bffa641246"
uuid = "a51aa0fd-4e3c-5386-b890-e753decda492"
version = "1.7.10+4"
[[deps.Xorg_libXinerama_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll"]
git-tree-sha1 = "26be8b1c342929259317d8b9f7b53bf2bb73b123"
uuid = "d1454406-59df-5ea1-beac-c340f2130bc3"
version = "1.1.4+4"
[[deps.Xorg_libXrandr_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libXext_jll", "Xorg_libXrender_jll"]
git-tree-sha1 = "34cea83cb726fb58f325887bf0612c6b3fb17631"
uuid = "ec84b674-ba8e-5d96-8ba1-2a689ba10484"
version = "1.5.2+4"
[[deps.Xorg_libXrender_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "47e45cd78224c53109495b3e324df0c37bb61fbe"
uuid = "ea2f1a96-1ddc-540d-b46f-429655e07cfa"
version = "0.9.11+0"
[[deps.Xorg_libpthread_stubs_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "8fdda4c692503d44d04a0603d9ac0982054635f9"
uuid = "14d82f49-176c-5ed1-bb49-ad3f5cbd8c74"
version = "0.1.1+0"
[[deps.Xorg_libxcb_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "XSLT_jll", "Xorg_libXau_jll", "Xorg_libXdmcp_jll", "Xorg_libpthread_stubs_jll"]
git-tree-sha1 = "b4bfde5d5b652e22b9c790ad00af08b6d042b97d"
uuid = "c7cfdc94-dc32-55de-ac96-5a1b8d977c5b"
version = "1.15.0+0"
[[deps.Xorg_libxkbfile_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libX11_jll"]
git-tree-sha1 = "730eeca102434283c50ccf7d1ecdadf521a765a4"
uuid = "cc61e674-0454-545c-8b26-ed2c68acab7a"
version = "1.1.2+0"
[[deps.Xorg_xcb_util_cursor_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xcb_util_image_jll", "Xorg_xcb_util_jll", "Xorg_xcb_util_renderutil_jll"]
git-tree-sha1 = "04341cb870f29dcd5e39055f895c39d016e18ccd"
uuid = "e920d4aa-a673-5f3a-b3d7-f755a4d47c43"
version = "0.1.4+0"
[[deps.Xorg_xcb_util_image_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "0fab0a40349ba1cba2c1da699243396ff8e94b97"
uuid = "12413925-8142-5f55-bb0e-6d7ca50bb09b"
version = "0.4.0+1"
[[deps.Xorg_xcb_util_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_libxcb_jll"]
git-tree-sha1 = "e7fd7b2881fa2eaa72717420894d3938177862d1"
uuid = "2def613f-5ad1-5310-b15b-b15d46f528f5"
version = "0.4.0+1"
[[deps.Xorg_xcb_util_keysyms_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "d1151e2c45a544f32441a567d1690e701ec89b00"
uuid = "975044d2-76e6-5fbe-bf08-97ce7c6574c7"
version = "0.4.0+1"
[[deps.Xorg_xcb_util_renderutil_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "dfd7a8f38d4613b6a575253b3174dd991ca6183e"
uuid = "0d47668e-0667-5a69-a72c-f761630bfb7e"
version = "0.3.9+1"
[[deps.Xorg_xcb_util_wm_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Xorg_xcb_util_jll"]
git-tree-sha1 = "e78d10aab01a4a154142c5006ed44fd9e8e31b67"
uuid = "c22f9ab0-d5fe-5066-847c-f4bb1cd4e361"
version = "0.4.1+1"
[[deps.Xorg_xkbcomp_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_libxkbfile_jll"]
git-tree-sha1 = "330f955bc41bb8f5270a369c473fc4a5a4e4d3cb"
uuid = "35661453-b289-5fab-8a00-3d9160c6a3a4"
version = "1.4.6+0"
[[deps.Xorg_xkeyboard_config_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Xorg_xkbcomp_jll"]
git-tree-sha1 = "691634e5453ad362044e2ad653e79f3ee3bb98c3"
uuid = "33bec58e-1273-512f-9401-5d533626f822"
version = "2.39.0+0"
[[deps.Xorg_xtrans_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e92a1a012a10506618f10b7047e478403a046c77"
uuid = "c5fb5394-a638-5e4d-96e5-b29de1b5cf10"
version = "1.5.0+0"
[[deps.Zlib_jll]]
deps = ["Libdl"]
uuid = "83775a58-1f1d-513f-b197-d71354ab007a"
version = "1.2.13+1"
[[deps.Zstd_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "e678132f07ddb5bfa46857f0d7620fb9be675d3b"
uuid = "3161d3a3-bdf6-5164-811a-617609db77b4"
version = "1.5.6+0"
[[deps.eudev_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "gperf_jll"]
git-tree-sha1 = "431b678a28ebb559d224c0b6b6d01afce87c51ba"
uuid = "35ca27e7-8b34-5b7f-bca9-bdc33f59eb06"
version = "3.2.9+0"
[[deps.fzf_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "a68c9655fbe6dfcab3d972808f1aafec151ce3f8"
uuid = "214eeab7-80f7-51ab-84ad-2988db7cef09"
version = "0.43.0+0"
[[deps.gperf_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "3516a5630f741c9eecb3720b1ec9d8edc3ecc033"
uuid = "1a1c6b14-54f6-533d-8383-74cd7377aa70"
version = "3.1.1+0"
[[deps.libaom_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "1827acba325fdcdf1d2647fc8d5301dd9ba43a9d"
uuid = "a4ae2306-e953-59d6-aa16-d00cac43593b"
version = "3.9.0+0"
[[deps.libass_jll]]
deps = ["Artifacts", "Bzip2_jll", "FreeType2_jll", "FriBidi_jll", "HarfBuzz_jll", "JLLWrappers", "Libdl", "Pkg", "Zlib_jll"]
git-tree-sha1 = "5982a94fcba20f02f42ace44b9894ee2b140fe47"
uuid = "0ac62f75-1d6f-5e53-bd7c-93b484bb37c0"
version = "0.15.1+0"
[[deps.libblastrampoline_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850b90-86db-534c-a0d3-1478176c7d93"
version = "5.8.0+1"
[[deps.libevdev_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "141fe65dc3efabb0b1d5ba74e91f6ad26f84cc22"
uuid = "2db6ffa8-e38f-5e21-84af-90c45d0032cc"
version = "1.11.0+0"
[[deps.libfdk_aac_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "daacc84a041563f965be61859a36e17c4e4fcd55"
uuid = "f638f0a6-7fb0-5443-88ba-1cc74229b280"
version = "2.0.2+0"
[[deps.libinput_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "eudev_jll", "libevdev_jll", "mtdev_jll"]
git-tree-sha1 = "ad50e5b90f222cfe78aa3d5183a20a12de1322ce"
uuid = "36db933b-70db-51c0-b978-0f229ee0e533"
version = "1.18.0+0"
[[deps.libpng_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Zlib_jll"]
git-tree-sha1 = "d7015d2e18a5fd9a4f47de711837e980519781a4"
uuid = "b53b4c65-9356-5827-b1ea-8c7a1a84506f"
version = "1.6.43+1"
[[deps.libvorbis_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Ogg_jll", "Pkg"]
git-tree-sha1 = "b910cb81ef3fe6e78bf6acee440bda86fd6ae00c"
uuid = "f27f6e37-5d2b-51aa-960f-b287f2bc3b7a"
version = "1.3.7+1"
[[deps.mtdev_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "814e154bdb7be91d78b6802843f76b6ece642f11"
uuid = "009596ad-96f7-51b1-9f1b-5ce2d5e8a71e"
version = "1.1.6+0"
[[deps.nghttp2_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "8e850ede-7688-5339-a07c-302acd2aaf8d"
version = "1.52.0+1"
[[deps.oneTBB_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl"]
git-tree-sha1 = "7d0ea0f4895ef2f5cb83645fa689e52cb55cf493"
uuid = "1317d2d5-d96f-522e-a858-c73665f53c3e"
version = "2021.12.0+0"
[[deps.p7zip_jll]]
deps = ["Artifacts", "Libdl"]
uuid = "3f19e933-33d8-53b3-aaab-bd5110c3b7a0"
version = "17.4.0+2"
[[deps.x264_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "4fea590b89e6ec504593146bf8b988b2c00922b2"
uuid = "1270edf5-f2f9-52d2-97e9-ab00b5d0237a"
version = "2021.5.5+0"
[[deps.x265_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg"]
git-tree-sha1 = "ee567a171cce03570d77ad3a43e90218e38937a9"
uuid = "dfaa095f-4041-5dcd-9319-2fabd8486b76"
version = "3.5.0+0"
[[deps.xkbcommon_jll]]
deps = ["Artifacts", "JLLWrappers", "Libdl", "Pkg", "Wayland_jll", "Wayland_protocols_jll", "Xorg_libxcb_jll", "Xorg_xkeyboard_config_jll"]
git-tree-sha1 = "9c304562909ab2bab0262639bd4f444d7bc2be37"
uuid = "d8fb68d0-12a3-5cfd-a85a-d49703b185fd"
version = "1.4.1+1"
"""
# ╔═╡ Cell order:
# ╟─6c112634-0ff7-4b97-a88b-1f04246a79b9
# ╟─2946a0cd-6f90-499a-a8e1-c614e04b43ac
# ╟─e90d923a-f5d5-4af2-95bb-78a33ceb91f2
# ╟─69a5a3ba-9358-4ebe-bbf3-e3587b183b94
# ╟─ca24909e-2ff3-41fb-83c8-7b3e91bb8246
# ╟─84c541a5-f810-41f2-b5ad-965dded27109
# ╟─d91f8784-9539-44d4-bd15-deb602f3a6fa
# ╟─a2bed4fc-7170-4b0f-b46d-f68e323ae95d
# ╟─62bdccbf-ec6d-4005-ac54-562fec556420
# ╟─d202e829-f42b-4b3c-8dfe-a3749c6633b8
# ╟─2008b4bf-947d-49fc-a6c9-4c5ad21c62e6
# ╟─8453d087-8b3b-45e5-a07b-9633c33f623f
# ╟─a2cb25c9-82f5-4760-a611-44b3a6f756ab
# ╟─4dae1c94-84d5-4901-8eea-4ebf5e29ffe0
# ╟─44c77e03-7a19-4150-bb56-397ccb42f501
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002
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