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Coin conversion values


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Post Wed May 11, 2011 9:13 pm

Coin conversion values

The purpose of this thread is to establish a set of conversion factors for common coins to silver coins. Your input is appreciated; that's why I've put my thoughts here.

I'm assuming a certain amount of knowledge about the metal value of US coins; it's fairly common knowledge in this circle that pre-1982 pennies are worth something like twice their face value in metal (currently over 2.5 cents), and that nickels are similarly more valuable (currently 6.3 cents, or 25% more than face). A good online guide to this value is http://www.coinflation.com/. If anyone has a question, ask here and I'll answer, though perhaps basic questions about metal value of coins would merit its own thread.

I've been thinking I ought to work up a system of values for ordinary coins, for a post-collapse trading system. For me that means primarily US coins. So if you want to make change for, say, a pre-1964 US quarter (a "silver quarter"), you'll have an idea of how many nickels, post-1964 quarters, post-1964 dimes, pre-or-post 1982 pennies, etc you'll give them.

While I don't suppose we'll be able to quantify how many eggs or omelettes or hours of carpentry an ounce of silver will buy, it should be possible to establish conversion factors for current non-silver coins to silver coins. The only real problem is determining the value of a metal like copper or nickel relative to the value of silver. Do you look up the estimates for how much of each metal is available on the planet, and go from that ratio? What about how useful each metal is--copper is way more useful than nickel in that respect, especially in a post-collapse kind of world.

Another approach would be to use historical values for the metals--perhaps even values from the early days of the US, or at least the days right before we left the gold standard.

I'll look at this latter approach tonight, having found my Red Book, the definitive book on US coins.

It wasn't until the mid 1800's that copper coins were reformed and standardized; before this, Spanish coins were still legal tender, and things varied a lot. Also it wasn't until 1866 that the nickel 5-cent piece was first minted. So we'll use this period as our "starting point" for this set of proposed relative values.

First, a look at the silver coinage of the time. The familiar 90% silver 10% copper composition was already in use. Roughly in the timeframe we're looking at (late 1860's to early 1870's), the silver dimes, quarters, and half-dollars had their weights adjusted slightly, which weights remained stable until silver coinage fell out of use in the United States. So this will be a fairly easy comparison. A "dollar" at this time was 22.5 grams of silver (which is a little screwy, since a dollar was originally defined as 24.057 grams of pure silver) and 2.25 grams of copper; you'd get that with 2 half dollars, 4 quarters, 10 dimes, or any combination thereof which equaled $1 face value. During this period these coins were the "Seated Liberty" design.

Before the familiar Lincoln penny, there was the "Indian Head" penny, originally in copper-nickel, and then in 1864, in the familiar 95% copper 5% zinc (well actually 5% tin/zinc) composition, the same used in the Lincoln penny until 1982. The weight was the also same as the pre-1982 Lincoln penny, so for our purposes, it was the very same coin. So by this standard, a dollar in silver coins is worth 100 pre-1982 pennies, which is handy because that's the numbers stamped on them.

In this timeframe, just after the US Civil War (er, I mean the War of Northern Aggression), the nickel had just come into circulation, having supplanted the 3-cent piece of similar composition, and replaced the silver half-dime. The Shield Nickel was 5 grams of 75% copper and 25% nickel, just the same as the current nickels are. We'll call this alloy "cupronickel" from here on in. So by this standard, a nickel (be it a Jefferson, Buffalo, Liberty Head, or Shield) is worth 1/20th of a dollar in silver, or 5 cents. Again, convenient because that's how it's labeled.

Now, that was easy. This will not be easy. Let's see how much current issue dimes and quarters are worth by this standard. I'll leave out the Sacagawea and Presidential Dollars (same composition and weight) because the manganese in them complicates things.

Current "clad" Dimes, Half-dollars, and Quarters are still proportional; that is, the composition is the same (75% copper, 25% nickel, just like the Nickel coin is), and the weight is proportional to the face value so that a dollars' worth of these coins has the same amount of metal however you count it. But the value stamped on them isn't proportional with respect to the Nickel coins. Think about it. A Dime weighs not quite half as much as a Nickel, but has twice the face value. Typical US Government smoke and mirrors inflation. A "dollar" in clad coinage is 22.7 grams of cupronickel; by our previous calculations, a dollar in silver coins is worth 100 grams of cupronickel. So a clad dime is actually something like a 2-cent piece (actually 2.27 cents), a clad quarter is a 6 cent piece (5.67 cents more specifically), and a half-dollar is an 11.34 cent piece, or approximately a half-quarter ("ha'quarter"?).

For tonight, the post-1982 penny math eludes me, because of the high zinc content. I'll get to this shortly enough.

So, to summarize, with this scheme (Civil-War-era US coin values), a "dollar" is defined as $1 face in US silver dimes, quarters, or half-dollars; there are 100 pre-1982 pennies to the dollar, and 20 nickels, these bearing their face value. Clad coins are valued as follows: dime, 2 cents; quarter, 6 cents; and a half-dollar is worth 12 cents but probably worth calling half a silver quarter. For clad coins, you need 50 (or more exactly, 44) dimes, 18 quarters, or 9 half-dollars to equal about a dollar.
Last edited by hutoftung on Sat Sep 24, 2011 12:53 pm, edited 2 times in total.
Now to him who works, the wages are not counted as grace but as debt. -Romans 4:4
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Post Wed Jun 01, 2011 6:08 pm

Re: Coin conversion values

On to another scheme is to value these metals (and thus these coins) by the amount of the metal available.

Here's some data from the US Geological Survey, from 2009 (the 2010 data changed format and not all the metals listed the estimated amount available on the planet). I've spliced in a little 2010 data where the numbers had a big difference between the old and new systems. The data can be found here: http://minerals.usgs.gov/minerals/pubs/commodity/

World Reserves (tons) / Reserve Base / (world resources)
Zinc 180,000 / 480,000 / (1.9 billion)
Manganese 500,000 / 5,200,000
Silver 270,000 / 570,000
Nickel 70,000,000 / 150,000,000
Gold 47,000 / 100,000
Copper 550,000 / 1,000,000 / (3 billion+)

"World Reserves" are explained like this: "Reserves.—That part of the reserve base which could be economically extracted or produced at the time of determination. The term reserves need not signify that extraction facilities are in place and operative. Reserves include only recoverable materials; thus, terms such as “extractable reserves” and “recoverable reserves” are redundant and are not a part of this classification system.

Marginal Reserves.—That part of the reserve base which, at the time of determination, borders on being economically producible. Its essential characteristic is economic uncertainty. Included are resources that would be producible, given postulated changes in economic or technological factors."

The Reserve Base is "that part of an identified resource that meets specified minimum physical and chemical criteria related to current mining and production practices, including those for grade, quality, thickness, and depth. The reserve base is the in-
place demonstrated (measured plus indicated) resource from which reserves are estimated."

The "World Resources" would seem to encompass these:

"Subeconomic Resources.—The part of identified resources that does not meet the economic criteria of reserves and marginal reserves.

Undiscovered Resources.—Resources, the existence of which are only postulated, comprising deposits that are separate from identified resources. Undiscovered resources may be postulated in deposits of such grade and physical location as to render them economic, marginally economic, or subeconomic. To reflect varying degrees of geologic certainty, undiscovered resources may be divided into two parts:

Hypothetical Resources.—Undiscovered resources that are similar to known mineral bodies and that may be reasonably expected to exist in the same producing district or region under analogous geologic conditions. If exploration confirms their
existence and reveals enough information about their quality, grade, and quantity, they will be reclassified as identified resources.

Speculative Resources.—Undiscovered resources that may occur either in known types of deposits in favorable geologic settings where mineral discoveries have not been made, or in types of deposits as yet unrecognized for their economic
potential. If exploration confirms their existence and reveals enough information about their quantity, grade, and quality, they will be reclassified as identified resources."

I'm figuring to use the Reserve Base figures, though you could make an argument to try and use the World Resources if we had complete data for them. I've decided to use the World Resources numbers for copper and zinc, because so much of them is already in use or otherwise not counted in reserves (and by this standard zinc would be more valuable than silver). If you think otherwise, please say so and propose a better method. In this scheme, gold is 5.7 times as valuable as silver (not 10 times as valuable as the tradition would state). Silver is more valuable than copper by a factor of 5263 (or to use the Reserve Base figures, 1.75). Silver is more valuable than zinc by a factor of 3333 (or zinc is more valuable than silver by a factor of 1.19). Silver is more valuable than nickel by a factor of 263. Silver is more valuable than manganese by a factor of 9.

As we can see from the definitions, economic viability of these resources is important. This is not a true measure of how much of these minerals is in or on the Earth's crust. Obviously, there's a lot more zinc that's not economically extractable than there is gold which isn't worth getting, because an ounce of gold is so much more valuable than an ounce of zinc.
Last edited by hutoftung on Sat Sep 24, 2011 12:54 pm, edited 2 times in total.
Now to him who works, the wages are not counted as grace but as debt. -Romans 4:4
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Post Wed Jun 01, 2011 6:55 pm

Re: Coin conversion values

And looking over my previous post, I realize I erred in stating the value of clad coinage. The composition isn't the same as a nickel, so without establishing the value of copper or nickel, it's impossible to quantify the value of clad coinage.

However, it may be possible to do some rough numbers.

Coinflation lists the composition of clad coinage as 91.67% copper, 8.33% nickel

Dimes weigh 2.27 grams, quarters 5.67 grams, half-dollars 11.34 grams, Eisenhower dollars 24.59 grams, and Susan B. Anthony dollars 8.1 grams. So aside from the dollars, the weights are actually proportional to the face value. A SBA dollar is worth about as much as 3.6 dimes (or 36 cents in clad coins), and an Ike is actually worth 10.8 dimes, or $1.80 in clad coins.

If we assume that the pre-1982 penny derives its value from the copper, not the zinc, we see that 2.95 grams of copper is worth 1 cent (in my first scheme). Now, since a nickel is 75% copper by weight, or 3.75 grams of copper (and 1.25 grams nickel). Calculating up from our penny-derived copper value, that's 1.27 cents' worth of copper in a nickel, meaning that the remaining 3.73 cents' worth is from the nickel metal in the coin. So we get 2.98 cents per gram of nickel, calculating it out. Incidentally, this works out to the same math as saying copper is worth 1 penny per 3 grams, and nickel 3 cents per gram.

So, using the harder math, we see that a clad dime has 2.08 grams of copper, or about .67 cents' worth. The same dime has .19 grams of nickel, or .57 cents' worth. That means a dime is worth 1.25 cents if a nickel is worth 5 cents and a pre-1982 penny is worth 1 cent. Quarters are worth 3.125 cents, and half-dollars are 6.25 cents. Ikes are worth 13.5 cents, and SBAs are worth 4.5 cents.

If my math is correct this time.
Last edited by hutoftung on Sat Sep 24, 2011 12:54 pm, edited 2 times in total.
Now to him who works, the wages are not counted as grace but as debt. -Romans 4:4
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Post Wed Jun 01, 2011 7:33 pm

Re: Coin conversion values

www.coinflation.com

nice thread - thanks for starting it hut.
I said to my soul, be still, and wait without hope
For hope would be hope for the wrong thing; wait without love,
For love would be love of the wrong thing; there is yet faith
But the faith and the love and the hope are all in the waiting.

TS Eliot
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Post Wed Jun 01, 2011 9:05 pm

Re: Coin conversion values

Yes, thanks, Roccman. I used some of the data from that site for my calculations.

But that site gives the value based on current metal prices in US dollars. Not so useful if there is no more US dollar and no more industrial mining. The purpose of this thread is to determine a value (or at least relative values) for US coinage independent of the US dollar. So if you find that you're getting three ounces of silver for a day's work, you can figure out how to make change when you buy your bread.
Now to him who works, the wages are not counted as grace but as debt. -Romans 4:4
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Post Thu Jun 02, 2011 7:08 pm

Re: Coin conversion values

Just a sneak peak at where I'm going with this.

Copper pipe and copper wire, at least in the US, are produced according to strict size and composition standards. This means that, if we can determine a value ratio between copper and silver, we could actually use pipe scraps and wire scraps as money, or at least to supplement coins. I'll get to those calculations when I have time; if possible I'll use both internet resources and actual weighing in combination to confirm that it really is possible to determine the amount of copper in these products just by measuring the length.

Also, I'm going to see how consistent used ammunition shell casings are in weight, by caliber. Spent brass could also function as an impromptu or supplementary monetary vehicle.

I'll work up some tables when I get a metric that works.
Now to him who works, the wages are not counted as grace but as debt. -Romans 4:4

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