Ludwig Loewe & Co. Chilean Model 1895 long rifles in close to mint condition are not unusual. If all original and in essentially unissued condition, a sale price of $1,000 to $1,200 or so is typical. Here is link showing an unissued long M95 rifle, still partially covered with cosmoline,
http://www.antiquearmsinc.com/1895-mauser-near-mint-unissued.htm.Ludwig Loewe M1895 cavalry carbines, on the other hand, are typically well-used. They sell for a few hundred dollars and would be worth little or no more if re-finished. A carbine in essentially original, un-issued condition would be quite rare. Potential buyers would probably suspect a refinish somewhere along the line, unless they could be convinced otherwise.
No comparable recent sales probably exist to predict market value for an original, unissued condition carbine. It should be worth more than an unissued condition long rifle, but how much more depends on what an individual interested buyer would be willing to pay. A Gunbroker auction may be the only way to find out. To obtain true value at auction, numerous high-quality photos fully documenting original, un-refinished condition would be required.
All Ludwig Loewe Chilean Mausers, both long rifles and carbines, are recognized by the BATF as antiques because Ludwig Loewe was absorbed into DWM prior to 1899 and M95 receiver production after this occurred had DWM, rather than the typical Ludwig Loewe, "Manufactura Loewe Berlin", stamping. I have seen an official BATF letter verifying this.
Are you sure that you have a carbine, and not a short rifle? Both have the saddle ring. Barrel length on the short rifle is 21", on the carbine it is 18.25".