index.qmd

---
header-includes:
  - |
    <script src="https://cdn.jsdelivr.net/npm/swiffy-slider@1.6.0/dist/js/swiffy-slider.min.js" crossorigin="anonymous" defer></script>
  - |
    <link href="https://cdn.jsdelivr.net/npm/swiffy-slider@1.6.0/dist/css/swiffy-slider.min.css" rel="stylesheet" crossorigin="anonymous">


---

::: {.column-page .hero}
::: {.column-page .hero-fullwidth}
Practical, extensible, and open-source actuarial modeling and analysis. 
:::

::: {.grid .column-page .hero-grid}


::: {.hero-child}
### High-Performance Computing

Designed for speed and efficiency, enabling high-performance numerical computing, quantitative analysis, modeling, and simulation.
:::

::: {.hero-child}
### Domain-Specific Ecosystem

Extensive ecosystem of libraries and tools catering to technical computing, data science, machine learning, and domain-specific tasks in finance and actuarial science.
:::

::: {.hero-child}
### Productivity and Interoperability

Clean, readable syntax, comprehensive documentation, and seamless integration with existing languages and tools enhance productivity and accessibility for a wide range of users.
:::

:::
:::

**JuliaActuary** is an ecosystem of packages that makes Julia the easiest language to get started for actuarial workflows.

**Julia** is [an ideal language for Actuaries](/blog/julia-actuaries/) and other financial professionals.


It is free, open-source software and you can [join the development on Github](https://github.com/JuliaActuary/).


## Code Examples

```{=html}
<div class="swiffy-slider slider-item-reveal slider-nav-autoplay slider-nav-autopause slider-nav-dark slider-indicators-dark " data-slider-nav-autoplay-interval="7500">
    <ul class="slider-container">
        <li>
        <div class="code-carousel">
          <div class="top">
    <span class="code-example-head" >Getting Mortality Tables</span>
  </div>
```

```julia-repl
julia> using MortalityTables

julia> MortalityTables.table("2015 VBT Smoker Distinct Male Non-Smoker ALB")
MortalityTable (Insured Lives Mortality):
   Name:
       2015 VBT Smoker Distinct Male Non-Smoker ALB
   Fields:
       (:select, :ultimate, :metadata)
   Provider:
       American Academy of Actuaries along with the Society of Actuaries
   mort.SOA.org ID:
       3269
   mort.SOA.org link:
       https://mort.soa.org/ViewTable.aspx?&TableIdentity=3269
   Description:
       2015 Valuation Basic Table (VBT) Smoker Distinct Table...
```

```{=html}
       </div>
        </li>
        <li>
        <div class="code-carousel">
          <div class="top">
        <span class="code-example-head" >Working with Yield Curves</span>
  </div>

```

```julia-repl

julia> using FinanceModels

julia> maturities = [0.5, 1.0, 1.5, 2.0]
julia> rates      = [5.0, 5.8, 6.4, 6.8] ./ 100
julia> quotes     = ZCBYield.(rates,maturities)

julia> rf_curve = fit(Spline.Cubic(), quotes, Fit.Bootstrap())


               ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀Yield Curve (FinanceModels.YieldCurve)⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
               ┌────────────────────────────────────────────────────────────┐
           0.4 │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│ Zero rates
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠋│
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠖⠊⠉⠁⠀⠀⠀⠀│
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
   Periodic(1) │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠖⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠖⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠀⠀⠀⠀⠀⠀⠀⣀⡠⠤⠖⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠀⢀⡠⠤⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               │⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
             0 │⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀│
               └────────────────────────────────────────────────────────────┘
               ⠀0⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀time⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀30⠀
```

```{=html}


        </div></li>
                <li>
        <div class="code-carousel">
                <div class="code-carousel">
          <div class="top">
        <span class="code-example-head" >Financial Maths</span>
  </div>
```

```julia-repl

julia> using ActuaryUtilities

julia> cashflows = [5, 5, 105]
julia> discount_rate = 0.03

julia> present_value(discount_rate, cashflows)           
105.65

julia> duration(Macaulay(), discount_rate, cashflows)    
2.86

julia> duration(discount_rate, cashflows)                
2.78

julia> convexity(discount_rate, cashflows)               
10.62
```

```{=html}


        </div></li>
                <li>
        <div class="code-carousel">
                <div class="code-carousel">
          <div class="top">
        <span class="code-example-head" >Life Contingencies</span>
  </div>
```

```julia
using LifeContingencies
using MortalityTables
using FinanceModels

# load mortality rates from MortalityTables.jl
vbt2015 = MortalityTables.table("2015 VBT Smoker Distinct Male Non-Smoker ALB")

issue_age = 30
life = SingleLife(                       # The life underlying the risk
    mortality = vbt2015.select[issue_age],    # -- Mortality rates
)

yield = Yield.Constant(0.05)            # Using a flat 5% interest rate

ins = Insurance(life, yield)             # alternate way to construct

# Summary Scalars
present_value(ins)                       # The actuarial present value
premium_net(lc)                          # Net whole life premium 
V(lc,5)                                  # Net premium reserve for whole life insurance at time 5
```

```{=html}


        </div></li>

    </ul>

    <button type="button" class="slider-nav"></button>
    <button type="button" class="slider-nav slider-nav-next"></button>

    <div class="slider-indicators">
        <button class="active"></button>
        <button></button>
        <button></button>
        <button></button>
    </div>
</div>
    
```

## Packages

These packages are available for use in your project. See more on the [Packages page](/packages.qmd).

[`MortalityTables.jl`](/packages/#mortalitytablesjl)
  - Easily work with standard [mort.SOA.org](https://mort.soa.org/) tables and parametric models with common survival calculations.

[`LifeContingencies.jl`](/packages/#lifecontingenciesjl)
- Insurance, annuity, premium, and reserve maths.

[`ActuaryUtilities.jl`](/packages/#actuaryutilitiesjl)
- Robust and fast calculations for `internal_rate_of_return`, `duration`, `convexity`, `present_value`, `breakeven`, and more. 

[`FinanceModels.jl`](/packages/#FinanceModelsjl)
- Composable contracts, models, and functions that allow for modeling of both simple and complex financial instruments. 

[`ExperienceAnalysis.jl`](/packages/#experienceanalysisjl)
- Meeting your exposure calculation needs.

[`EconomicScenarioGenerators.jl`](/packages/#economicscenariogeneratorsjl)
- Easy-to-use scenario generation that's FinanceModels.jl compatible.