About the Gold-Silver Ratio Calculator
The gold-silver ratio is how many ounces of silver it takes to buy one ounce of gold. This calculator works it out from the prices you enter and then models the classic ratio trade: swap gold for silver when the ratio is high, and swap back into gold when it falls (or the reverse when the ratio is low). The goal is to finish with more ounces of the metal you started with, regardless of the dollar price.
Enter the gold and silver prices, choose which metal you hold and how many ounces, set the target ratio at which you would swap back, and include the round-trip cost of each swap — the dealer premium on what you buy plus the discount on what you sell. The tool shows the ounces you receive now, the ounces you would have after swapping back, and the break-even ratio after costs.
The ratio has no fixed “normal” level. It was set at 15:1 by the US Coinage Act of 1792, but in the modern free market it has ranged widely and briefly topped 100 in 2020. Treat any target as a scenario, not a prediction.
With the default inputs, the current gold-silver ratio is 83.33 : 1. Change any value above to recalculate instantly.
How to use the gold-silver ratio calculator
- 1Enter the current gold and silver prices per troy ounce.
- 2Choose whether you hold gold or silver and how many ounces.
- 3Set the ratio at which you would swap back.
- 4Enter the cost of each swap — the premium you pay plus the discount you accept.
- 5Read the current ratio, the ounces received, and your gain at the target ratio.
Formula and method
The ratio is simply the gold price divided by the silver price — the number of silver ounces one gold ounce buys. Swapping gold for silver turns Oz gold ounces into Oz × R silver ounces, less the swap cost c. Swapping back later at ratio T divides the silver by T and again deducts c. For a silver holder the operations are reversed: divide by R now and multiply by T later.
Because each swap loses c, the ratio must move far enough to cover two costs. For a gold holder the break-even ratio is R × (1 − c)²; for a silver holder it is R ÷ (1 − c)². The result is measured in ounces, not dollars: you can gain ounces while their dollar value falls if both metals drop.
- R
- Current gold-silver ratio
- T
- Target ratio at which you swap back
- c
- Cost of one swap as a fraction (premium + sell discount)
- Oz
- Ounces you start with
Worked examples
Swap 10 oz of gold at 83:1, back at 60:1
$4,000 ÷ $48 = a ratio of 83.33. Ten ounces of gold buy 833.3 oz of silver, or 808.3 oz after a 3% cost. Swapping back at 60:1 gives 808.3 ÷ 60 × 0.97 = 13.07 oz of gold — 3.07 oz (30.7%) more than you started with.
Swap 1,000 oz of silver into gold at 80:1, back at 100:1
At 80:1, 1,000 oz of silver buys 12.5 oz of gold, or 12.25 oz after a 2% cost. If the ratio rises to 100:1, those 12.25 oz swap back into 12.25 × 100 × 0.98 = 1,200.5 oz of silver, a gain of about 200 oz.
Cost-free swap at 100:1, back at 80:1
With no costs, 5 oz of gold buys 500 oz of silver at 100:1. At 80:1 those 500 oz buy back 6.25 oz of gold, 25% more ounces — the ratio fell by 20%, so gold ounces rise by 100 ÷ 80 − 1 = 25%.
Frequently asked questions
What is the gold-silver ratio?+
It is the price of one ounce of gold divided by the price of one ounce of silver, or equivalently how many ounces of silver one ounce of gold buys. A ratio of 80 means gold is 80 times more expensive per ounce than silver.
What is a high or low gold-silver ratio?+
There is no official normal level. Traders often treat readings well above the recent average as favoring silver and readings well below it as favoring gold, but the ratio can stay high or low for years, so averages are only a guide.
How does gold-silver ratio trading work?+
A gold holder swaps into silver when the ratio is high and back into gold when it falls, ending with more gold ounces. A silver holder does the opposite. Profits are measured in ounces, and each swap’s premium and spread must be covered first.
What was the historical gold-silver ratio?+
The US Coinage Act of 1792 fixed the ratio at 15:1 for coinage. Since metals began trading freely, the market ratio has moved over a much wider range, spiking above 100 during March 2020.
Do swap costs really matter?+
Yes. Two swaps at 3% each mean the ratio must move about 6% in your favor before you gain a single ounce. Silver often carries higher premiums than gold, so check your dealer’s actual buy and sell prices.
Results are estimates for educational purposes and are not financial advice. Rates, fees and terms vary — confirm with your lender or a licensed advisor before making decisions.