What is leverage?

Using borrowed money to increase the size of an investment, which magnifies both gains and losses relative to your own capital.

Leverage diagram example

Public diagram from the Machinations Community. Open it on its own page

Financial leverage means using borrowed money to hold a larger position than your own capital would allow. When the investment earns more than the cost of the loan, the owner keeps the extra and the return on their own money rises. When it earns less, the same borrowing magnifies the loss and can wipe out the owner's stake.

How it works

The mechanism is a fixed cost applied to a variable outcome. The lender is paid interest regardless of how the asset performs, so every change in the asset's value falls entirely on the owner's equity. The leverage ratio is total assets divided by equity, or debt divided by equity, depending on the convention. The higher it is, the smaller a fall in asset value needs to be before equity reaches zero.

There is also a feedback risk. If asset prices fall, lenders may demand repayment or extra collateral, which forces sales, which pushes prices down further. That loop is why high leverage makes a system fragile, not just an individual investor.

Example

Say you have 100 of your own money and borrow 100 at 4% interest to buy a 200 asset. If the asset rises 10% to 220, you repay 100 plus 4 interest and keep 116, a 16% gain on your 100. If it falls 10% to 180, you repay 104 and keep 76, a 24% loss. Without borrowing, you would have gained or lost 10%. A 50% fall in the asset would leave 100 − 104, so your equity is gone entirely. These figures are illustrations.

How to model it in Machinations

Use a Pool for equity, a Pool for debt and a Pool for the asset. A Register holds the asset's price change each step, drawn from a random range, and a state connection links it to the asset Pool's value. A Drain takes the interest from equity every step. Add a Lever for the borrowed amount and an End condition when equity reaches zero. Play many times at once and compare the spread of outcomes at low and high borrowing.

See leverage in a system you can Play

Build the rules in a Machinations diagram, change a value and Play it to watch how the system responds.