That was indeed the way you should've constructed an AM antenna in those days if you wanted good reception of distant stations. The problem nowadays is that in town areas there are so many electrical & electronic appliances running all the time creating interference that a "real" antenna can actually be worse than the simple wire setup.
However, I believe Guy was actually looking for an FM antenna. Most ready made FM antennas nowadays have been designed for 75 ohm feed impedance, which assumes the round IEC type RF connector in the receiver. The old receivers (just as these Beomasters) only have a connector for a 300 ohm antenna feed (two pins side by side), while starting from the '70s they may have both.
So, if the simple wire solution still doesn't give adequate reception, here's how you can construct a proper 300 ohm FM antenna. See for example this page and scroll to the bottom section ("folded dipole antenna"). To save you from all the theory, half wavelength on 88-108 MHz is three meters on average, and so the horizontal part in the picture needs to be 1.5 meters long. You can make the feed part as long as you need. Optimally you should use 300 ohm flat twin wire, but a suitably thin speaker wire works well enough.
Now, all that remains is the connector problem, since we only have the bare wire ends at hand. Can you guess what I recommend you do with them? 