WEBVTT

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How much of each
fund should you hold?

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Start with 4
building blocks:

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stocks, bonds, gold,
and real estate,

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because the solver can
only choose from the

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funds you list.

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That makes the universe
the first real decision.

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Portfolio Optimizer
measures each fund's return,

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volatility, and relationship
with the others.

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It searches for weights
that best satisfy

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a chosen objective.

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As an example, optimize 4
building blocks using 10

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years of history.

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Then choose 10 years
of daily history,

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starting at the
beginning of 2016.

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Through the end of 2025.

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Everything the solver knows
about these funds comes

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from this window.

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Mode determines the
shape of the answer.

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One optimal mix returns
a single set of weights,

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while the frontier
returns the whole risk

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and return curve instead.

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Start with one optimal mix.

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The objective defines
what the solver should

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maximize or minimize.

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The selected objective
seeks the most return per

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unit of volatility,
measured here against a

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risk-free rate of 0%.

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Other objectives
target low volatility,

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equal risk, or tail loss.

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Open Advanced settings
to inspect constraints

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and estimation controls.

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A constraint narrows what
the solver may propose,

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by banning short
selling or capping risk.

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Shrinkage pulls noisy historical estimates toward a

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common value, which
steadies the weights.

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This first run leaves
all of them inactive.

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Each fund also has its
own settings layer,

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where a modifier applies
leverage or an expense drag

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to that fund's history

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before the solver
ever sees it.

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This run uses no modifiers.

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Now find the mix that best
satisfies this objective

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over the chosen window.

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Run the solver to
measure every fund

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and search the
available combinations.

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The answer puts
everything in two funds:

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about 41% stocks
and 59% gold.

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Bonds and real
estate receive 0.

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Optimizers call that
a corner solution.

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Only funds that improve
this window's objective

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enter the mix.

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The mix shows an
expected 15% a year

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against 11.7% volatility.

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The return-to-volatility
ratio is 1.28,

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with no risk-free
rate deducted.

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Both figures use the same
historical window used to

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select the weights.

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Save any run you
want to keep.

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It stores the universe,

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the window, the objective,

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and the weights, so it
can be reopened later

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or compared against.

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Now constrain volatility
to no more than 10% a

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year,
while keeping the funds,

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window, and objective fixed.

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Add the ceiling, then rerun.

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Same funds, same window,
one constraint.

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Bonds enter at about 18%,

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and the expected annual
return the solver can reach

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falls to 12.7%.

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The saved run
stays as it was,

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so you can update it,

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or keep both.

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Hand any answer to Portfolio
Backtest to inspect

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its historical path.

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The allocation can also
become a state inside the

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Strategy Builder tool.

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The solver used
nominal total returns

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before tax and trading
costs to fit these weights

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over 10 years when
gold ran strongly.

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These weights are a
property of that window,

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not of the funds.

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Change the dates
and the optimal mix

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can move substantially.

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Choosing one optimal mix
answers a single question

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about the selected window.

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Efficient Frontier mode
answers a broader one:

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every efficient mix at once.

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Run it, and the solver
traces the best return

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available at every
level of risk,

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from the lowest
volatility mix to

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the highest return.

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The star marks the mix
with the highest return

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per unit of volatility
on the curve.

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Every point on it is
a different trade-off,

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and no single fund
sits above it.

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The gap between a fund

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and the curve is what
diversification buys.

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The frontier explains
why the constraint

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moved the weights.

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A ceiling on
volatility is a wall

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on this plane.

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The best mix under it sits

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where the wall
meets the curve,

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further left,
with less return.

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Every run keeps its window

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and its assumptions
on record,

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so a surprising allocation
can be reproduced

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and challenged instead
of argued about.

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List the funds,
choose a window,

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and define the objective.

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Read the proposed
weights against

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their fitted trade-off.

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Save the run, add one
constraint or change the

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window, and compare.

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Choose Take a tour for
a guided walkthrough.

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You can dismiss
it at any time.

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Open Docs for every setting,

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objective, constraint,
and methodology detail.

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Let the solver
propose a mix for the

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objective you define.

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Then inspect its
fitted evidence

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and test the proposal
against history.
