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The notion of a "restored" older plane is very appealing. But there are not many out there. And you are going to pay for those, because restoration is not cheap. That assumes you are even getting a true restoration, as opposed to a Strip-IRAN-Recover.
Far more planes are like the one I just bought: 40 year old aircraft with original fabric and paint, perhaps a recover in the last 20 years or so, and the owner is nursing it along. Many are going to have some kind of minor accident history, like a prop strike due to noseover or overcontrolling a wheel landing. Many are going to have vague flying histories once you get back past 20 years or so. In all likelihood the original owner and mechanic of a 1970's aircraft are dead.
I got a hell of a deal on mine, $45K, but I also got an engine that sat for several years, a wood spar with unknown accident history (though logs are clean), a 40 year old cover job with more patches than Maverick's flight jacket, and who knows what condition the steel tubes are in. A factory restoration with metal spar wings would run 75-100K. A strip and recover with wood spars would run 25-50K. If you find an aircraft under 100k, you are probably getting the latter. Over the next 5 years I expect to recover the fuselage and rebuild the engine . I am still mulling my options on the wings and spar. I prefer wood spars, and I definitely prefer the price, but the resale market does not.
The bit in bold sounds good in theory but the reality is that you'll get back between $0.30 and $0.50 for every $1.00 you put into a rebuild.
Let's look at a real world example and look at costs to rebuild, versus sales prices for the rebuilt aircraft.
I paid $60K for my 7KCAB last winter with a 2007 rebuild, ACA metal spar wings and spades, and 154 SMOH, 154 hours on a new prop and a rebuilt exhaust. The wings with spades and heavy front struts will run around $30K painted and ready to hang. An overhaul on a IO-320-E2A will run about $25K. A new prop is $5K and a rebuilt exhaust is about 1.5K. That's a total of $61,500.
In the case of my 7KCAB, the previous owner lost about $3K in total after paying for a major overhaul, new prop and exhaust system ($31.5K total) that he put into an aircraft that he purchased for $30,000. He also ended up paying $1600 on the agreed upon annual (where I covered the first $1K in lieu of a formal pre-buy and I did my own on site inspection and identified some critical items to be addressed in the annual).
The owner before him, spent about $18K on ACA wings, and $15K on the rest of the rebuild in 2007. He retained the old interior, but the airframe itself was well done. I have no idea what he paid for the plane originally, but he clearly 'lost' money when he sold it in 2014 with a run out engine making metal. How much he "lost" arguably depends on how much he flew it in that seven year period.
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My goal in selecting a 7KCAB to purchase was to find one with recent fabric and a low time engine, that would not need any major money poured into it for several years. That's basically what the OP said he is looking for with the exception that he's looking for no major maintenance for "the first few years".
So far, I'm on track. The oil analysis reports keep looking good and I've put about $2,800 into the aircraft since I bought it. That includes mostly expected improvements and/or known deficiencies like an engine analyzer, a vertical card compass to replace the broken wet compass, new belts and shoulder harnesses, and new tires and tubes. The only unexpected issues I've had were an already adjusted to its limits transponder, which I replaced with a used transponder from the shop that attempted to recert my old one, and a broken brake clevis. Normal stuff on a 53 year old aircraft.
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If I had money to burn, I'd look at a gently used 5-10 year old aircraft. But as it is, I've got less than $63K spent in total as opposed to $150K to 200K and that money I didn't spend up front (and the interest it is earning) will pay for a lot of future maintenance and improvements on my solid, reliable, nice looking, $60K aircraft.