I wish I had a spare but I don't. I don't use a pin mandrel in 9/32. I use a tapered one. Try the hardware store and see if they have any rod that is 1/4" and put it in your collet and use a file to taper it down to where it fits. Then you can get the length you want and a better fit for you drill bit. If my son drills a blank and puts it on my lathe it's loose and when I drill using my bit it's a nice fit. You'd think they would all be the same but they don't seem to be.
Don't pick a fight with an old man. If he can't win He'll just kill you.