Annuity Factors in Julia

annuity_factors.jl

### A Pluto.jl notebook ###
# v0.17.3

using Markdown
using InteractiveUtils

# ╔═╡ c0b5c423-01bc-4321-9531-02f1f014d7f1
using MortalityTables

# ╔═╡ 0a6b50cb-ec54-4e06-a88e-2178f8578c9e
using LifeContingencies

# ╔═╡ 7c2c4f1b-b969-4ee3-b967-261c53a8b2ca
using PlutoUI

# ╔═╡ cf5a8676-bece-4a0c-a75f-d4d9f1feaeed
using DataFrames

# ╔═╡ f09b587c-428d-47dd-9e3d-043fffbea9bf
table_name = "2001 VBT Residual Standard Select and Ultimate - Male Nonsmoker, ANB"

# ╔═╡ 0d2c8c95-dc01-4abb-8674-c4565018f95c
mortality = MortalityTables.table(table_name)

# ╔═╡ 61c4e4e8-5898-11ec-2c3c-674b9acb75ef
age_range = 20:80

# ╔═╡ a4da5661-8efb-4b5a-b118-c128333aa058
yield_range = 0.01:0.0025:0.06

# ╔═╡ 8937648b-4aa1-4f7d-9b2c-b06c4eb32bae
# map over the ages and rates to calculate the annuity factors
factors = map(Iterators.product(age_range,yield_range)) do (age,rate)

	# create a life contingency which is the combination of a life (or JointLife)
	# and a yield (can be a curve, but this example uses a single rate)
	
	lc = LifeContingency(
		SingleLife(mort = mortality.select, issue_age = age),
		rate
	)
	
	(
		age = age,
		yield = rate,
		ä = LifeContingencies.ä(lc), # can be type with `a + \ddot[tab]`
		a = LifeContingencies.a(lc),

	)
end
		

# ╔═╡ 695342b3-886b-41ac-892f-7ba7305ffd94
# convert into a dataframe
DataFrame(vec(factors))

# ╔═╡ 00000000-0000-0000-0000-000000000001
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[[deps.Tar]]
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[[deps.Transducers]]
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git-tree-sha1 = "bccb153150744d476a6a8d4facf5299325d5a442"
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[[deps.WoodburyMatrices]]
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[[deps.XML2_jll]]
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[[deps.XMLDict]]
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[[deps.libblastrampoline_jll]]
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[[deps.p7zip_jll]]
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"""

# ╔═╡ Cell order:
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# ╠═0d2c8c95-dc01-4abb-8674-c4565018f95c
# ╠═61c4e4e8-5898-11ec-2c3c-674b9acb75ef
# ╠═a4da5661-8efb-4b5a-b118-c128333aa058
# ╠═8937648b-4aa1-4f7d-9b2c-b06c4eb32bae
# ╠═695342b3-886b-41ac-892f-7ba7305ffd94
# ╟─00000000-0000-0000-0000-000000000001
# ╟─00000000-0000-0000-0000-000000000002