truegenius
Disciple
thats how i passed my maths test,A good way to figure out the price is to look at it from the market standpoint.
E.g.
3070FE is 44.5k
3070FE is said to be almost similar to 2080Ti but there are few things that your 2080Ti has an advantage on (3GB more memory, more Cuda/Tensor/RT cores, higher memory bandwidth, AIB v/s FE though this time FE is quite good)
Where 3070FE has an advantage is better process node, newer technology (so less HW does more), can use INT32 cores as FP32 cores thus leading to higher effective core count than 2080Ti, higher base and boost clocks, lesser power consumption
Given this, AIB 2080Ti may have a slight advantage compared to 3070FE (depending on what the buyer is looking for). Let's assume a bit more in favor of AIB 2080ti and assume it scores 40% bonus over current value of a 3070FE.
So the current relative value of a brand new AIB 2080Ti, compared to 3070FE, becomes 44.5*1.4 = ~62k (which matches being slightly higher than current AIB 3070 prices)
Now, 3070FE is brand new and your 2080Ti is 2 years old. Apply a 20% per depreciation per year and the price comes to ~40k.
Depending on the buyer's valuation of what they need (and factor in the availability situation), the "bonus" and "depreciation" percentages would fluctuate, let's say 5% for everything either ways. So you get an absolute min. of ~34k to an absolute max. of ~47k (depending on who is more desperate to sell/buy ), with 39-42k being a fare range to both buyer and seller.
i wrote the given equation at top and answer ( to be proven ) at bottom then wrote wrote every bit of maths that i knew making it look more like the answer in every step ( even sloved backward to match it to the solution from top part.
To my surprise i got full marks for every question that i attempted and passed it with marks that i wasn't even expecting
BTW that process and stuff that you mentioned is all covered in just 1 aspect that is "performance".