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OP has a D7100 so the older AF lenses are an option.There are cheaper 150-500mm and 50-500mm options and as you're on Nikon you might find some second hand primes in your price bracket (although some of them might be older and thus lack AF motors - which would be a hindrance with modern DSLR as they are not geared up for helping the user shoot with manual focusing - not impossible, but not ideal).