based on the outer appearance, the data given and some similar watches i´ve seen (i tend to remember this particular one, shown with the screw back removed):
Your watch seems to be an early gyromatic one dating around 1957-59.
This is a model encased in the US, indicated by the gold plating (european models used to be signed as beeing gold plated, mentioning a gold content was and is prohibited). It should be signed inside the case where you may find the style number (something like B1234) and the serial number (which allows further dating). You may find the manufacturer of the case, often S&W or Ross.
It´s a nice case and i like these big lugs. The rose gold colour is a bit unusual among these watches which were more often yellow gold filled.
The dial seems to be a redial; i can´t see the "swiss" or "swiss made" marking and the lettering is somewhat different to other GP´s of that period.
The hands may be original GP; those "dagger" style including a "paddle" second hand has been quite often used for early gyromatics in 1957-1960.
The watch i recall had a gold plated calibre 21.19, 39 jewels and screw-type balance. Those movements were introduced in 1957 and the first gyromatics to hit the market; in 1961 the next "generation" came up.
If it is an export movement, it should be signed as "GXM" on the balance bridge.
The one i remember was signed "adjusted 5 positions". This refers to a chronometer-grade regulation and adjustment which is a bit unusual for early GP. To my experience those movements are capable of running very good if properly serviced and comparable to contempory watches.
For an inside view on one of those click here
Now for the quality:
I do like those early gyromatics quite a lot; it´s a very uncommon technical solution for a bi-directional winding and an automatic movement based on a hand wound one is a bit unusual. They are fine crafted, although certainly not comparable to IWC´s 852 calibre.
In it´s days those watches retailed for around $65 to $100 (depending on the model), beeing not a very cheap one.
It´s a nice early gyromatic GP, encased in the US and of unusual colour (for this model). It´s a good watch which will perform well if you take some care of it.
A vintage or used watch is always worth the amount someone wants to pay for it. Prices are depending on the "rarity" of the model, the condition and the acceptance of the maker in general. This one won´t bring you a new car, but it´s well worth a nice dinner (or two).
Enjoy your watch!
Greetings from germany,