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This is Money, time and uncertain outcomes.

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This walkthrough uses a generic synthetic narrator, not a
recording of Craig Wright.

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Pause whenever you need time to calculate.

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The original lesson, written walkthrough and exercises
accompany this video.

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Money connects transactions across time.

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A person may own a valuable house but have little immediately
spendable money.

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Income is a flow over a period, while wealth is a stock of
assets minus liabilities at a date.

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Money is one part of that balance sheet and helps settle
transactions without arranging a direct barter

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match.

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Its usefulness depends on acceptance and institutions, not
simply physical form.

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We will focus on interpreting money amounts through time, then
introduce credit and bank balance sheets.

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The arithmetic is general, but actual financial products can
have fees, taxes and risks omitted from our

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teaching examples.

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Worked example: nominal versus real purchasing power.

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Step one calculates the nominal growth factor: 530 divided by
500 equals 1.06.

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Step two calculates the price-level factor: 108 divided by 100
equals 1.08.

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Step three divides the income factor by the price factor,
giving approximately 0.98148.

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Subtract one to obtain a real change of negative 1.85185 per
cent.

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Equivalently, deflate the new income by dividing 530 pounds by
1.08, then compare the resulting 490.74

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pounds with 500 pounds.

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The result depends on whether the price index represents the
purchases relevant to the person or question.

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Inflation is a rate of price-level change.

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If an index rises from 100 to 110 and then to 115.5, inflation
falls from ten per cent to five per cent

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while the price level keeps rising.

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The second increase is calculated from 110, not from the
original 100.

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A single expensive product does not by itself establish general
inflation.

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Index construction also requires choices about baskets, weights
and quality adjustment.

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Different households buy different things, so their experiences
can differ from a published average.

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Be clear about the index, period and comparison before claiming
that an income or price has risen in real

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terms.

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Worked example: compound growth.

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First convert five per cent to 0.05.

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One year's growth multiplies the starting balance by 1.05.

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In the second year, the same rate applies to the larger
balance, including the first year's interest.

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That produces 52.50 pounds in second-year interest rather than
50 pounds.

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Total interest over the two years is 102.50 pounds.

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Simple interest on the original principal alone would produce
100 pounds.

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Compounding is an arithmetic rule under stated terms, not a
promise that any real investment earns a

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constant return.

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Negative returns, charges or withdrawals would require a
different sequence of balance changes.

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Match the rate to the period.

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A rate without a period is incomplete information.

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Five per cent per month and five per cent per year describe
very different growth paths.

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In this example, apply twelve monthly factors rather than one
factor of 1.12.

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Actual quoted financial rates may use different conventions and
include or exclude charges, so read their

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definitions rather than assuming labels are interchangeable.

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For a sequence of varying period rates, multiply the
corresponding growth factors.

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An arithmetic average of returns generally does not reproduce
the final compounded balance.

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Consistency of periods is essential before comparing
alternatives.

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Discounting translates future amounts into present equivalents.

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Ask what amount today would grow into the future payment at the
specified rate.

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Since 1,000 pounds grows to 1,102.50 pounds over two years at
five per cent, dividing the future amount by

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1.05 squared returns 1,000 pounds.

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A discount rate represents a comparison across time and may
incorporate opportunity cost and other

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considerations.

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It must be justified for the problem rather than chosen to
force a preferred result.

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Keep nominal cash flows with a compatible nominal rate and real
cash flows with a compatible real rate.

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Risk and uncertainty require additional care beyond this
mechanical conversion.

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Worked example: compare a dated project.

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Step one places every payment on a timeline.

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The 400 pounds outlay occurs now, so it needs no discounting.

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Step two divides 220 pounds by 1.10, giving 200 pounds.

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Step three divides 230 pounds by 1.10 squared, or 1.21, giving
approximately 190.0826 pounds.

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Step four adds the present receipts and subtracts the initial
cost.

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The negative result is approximately 9.9174 pounds.

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Although undiscounted receipts total 450 pounds, that total
ignores timing.

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The conclusion assumes the stated receipts occur, the discount
rate is an appropriate alternative

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comparison, and no omitted costs or benefits change the result.

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Nominal and real returns must be distinguished.

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Suppose one hundred pounds becomes one hundred and eight.

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If a basket that cost one hundred now costs one hundred and
five, the final balance buys 108 divided by 105

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baskets relative to the starting one.

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That ratio is approximately 1.02857.

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Subtracting one gives the real proportional gain.

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The simple subtraction approximation is often close for modest
rates, but it can be inaccurate for large

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changes.

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Expected real returns also depend on expected inflation, which
need not equal realised inflation.

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Do not present a nominal guarantee as a guarantee of purchasing
power.

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Expected value is not a certain outcome.

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Multiply eighty by 0.6 to get forty-eight, and negative forty
by 0.4 to get negative sixteen.

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Adding them gives thirty-two pounds.

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Repeated comparable choices can make an average meaningful, but
a single participant still faces the actual

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possible outcomes.

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Risk often refers to settings where a probability model is
available; uncertainty can include situations

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where probabilities themselves are poorly known.

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The terminology varies, so define it.

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A precise calculation based on unjustified probabilities can
create false confidence.

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Identify what evidence supports the outcomes and probabilities
before treating expected value as a reliable

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guide.

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Several exposures can share the same risk.

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Imagine two shops selling different goods but relying on the
same festival visitors.

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Their sales risks may be closely linked despite the different
products.

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A cancelled festival could hurt both together.

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To assess diversification, ask about the drivers of outcomes
rather than merely count separate names.

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Some risks can be pooled; others affect many people
simultaneously.

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These are general concepts, not a recommendation to buy
particular assets.

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A decision should also consider when funds are needed, whether
commitments can be reversed and whether a

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plausible loss would prevent meeting essential obligations.

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Bank lending changes balance sheets.

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Write both sides of each balance sheet.

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The bank holds a claim on the borrower and owes the deposit
balance to its account holder.

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The borrower can spend the deposit but must repay the loan
under its terms.

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Payments to another bank can require settlement funds, so
liquidity and funding matter.

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Capital, credit risk, profitability, regulation and demand for
loans also constrain lending.

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Repaying principal reduces the relevant loan and deposit
balances in the simplified system; interest

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payments are a separate flow.

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The process is more precise than saying banks merely pass a
fixed pile of existing deposits from one person

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to another.

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Liquidity differs from solvency.

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Subtract liabilities from assets to calculate equity: one
hundred minus ninety-five equals five.

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After the asset loss, ninety-two minus ninety-five equals
negative three.

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That is a solvency problem in this simplified balance sheet.

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A liquidity problem can arise without such a loss if valuable
assets cannot be converted into settlement

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funds in time to meet withdrawals.

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Selling assets quickly at a discount can then turn liquidity
pressure into losses.

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This distinction explains why payment timing and asset quality
both matter.

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Actual assessment requires detailed valuation and institutional
information beyond these teaching numbers.

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Credit reallocates purchasing power and obligations.

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A loan financing useful equipment can expand future productive
capacity; another loan might finance an asset

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purchase without directly adding new production.

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Both create obligations, and neither description guarantees
successful repayment.

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At the economy-wide level, changes in spending interact with
available resources, imported goods, pricing

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behaviour and expectations.

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Avoid claiming that any one monetary quantity mechanically
produces a fixed immediate inflation result under

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all conditions.

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A liberty-oriented analysis also asks about contract terms,
consent and who bears losses.

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Those questions complement rather than replace investigation of
balance sheets and causal mechanisms.

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Put time, purchasing power and uncertainty together.

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Use a timeline and a small balance sheet before making a
complicated judgement.

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They expose missing payments, inconsistent periods and
confusion between money received and wealth gained.

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Then ask how the conclusion changes if inflation, timing or
outcomes differ.

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The exercises use hypothetical amounts so that you can practise
the method without relying on current market

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products.

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Numerical fields check arithmetic under stated assumptions.

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Ungraded explanations are for assessing the limits of those
assumptions, including why a positive expected

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value or a positive nominal return is not a guarantee of a
desirable outcome.