Saves me money. I guess you haven't seen the price of factory ammo. The only time it doesn't pay to reload is with shotgun. Factory is cheaper to buy than reloading with the price of cold shot.
You think getting started in reloading is going to save money in the first year? First 2 years? First 5 years? Depends on how much you shoot, how many different cartridges you shoot, and WHAT you shoot.
Don't forget to add the price of all the tools, your set up, and your time to reload. Lots of overhead there. Too many people don't think about or add those costs into the reloading price.
Press, dies, shell holders, case lube and pad, bushings, expanding mandrels, calipers, headspace gauges, bullet comparators, trimmers/pilots and collets, tumblers and media, funnels, scales, electronic chargers, trickler, bullet pullers, tools, case prep tools, annealing tools/machine, reloading bench, electricity, TIME, trips to the range to do load development (gas, range fees, vehicle wear and tear, targets, TIME again).
Then you have components.
Most serious people don't reload with the cheap components. I don't know a single person who loads their own Rem or Win PSP type bullets. Sure, once you buy your brass, it will last if you are not running them hot. But look at Nosler brass prices, ADG, Peterson, Lapua, Alpha. All are $1-3+ per piece of brass. That is $20-60+ per 20 right off the bat. Add primers nowadays ($.07-.13/ea), powder at $40-60/lb, premium bullets at $.40-1.00+/ea, and those add up. Add the cost of an ammo box.
Let's figure two scenarios. 6.5CM and 7RM. Both using middle of the road components.
6.5CM= $1 (brass), $.08 (primer), $.27 (powder @ 42.0gr @ $45/lb=167 rounds per lb), $.45 (bullet). $1.80/round or $36/box of 20. Not bad at all. But don't forget to add all the overhead costs. And don't forget to add all the component costs to get you the final load.
7RM (let's go on the higher end for this) = $2.50 (Nosler brass), $.10 (primer), $.55 (powder @ 70.0gr @ $55/lb=100 rounds per 1lb), $1.10 (bullet for something like a 169 Hammer). $4.25/round or $85/box of 20. Price drops to $1.75/round on your second reload, as you save on the brass costs. Again, add the components used in load development. And all your above mentioned "overhead" in getting set up.
Running to the local gun store and buying whatever is on the shelf seems to make more sense financially if you don't shoot more that 100 rounds a year in a rifle. But, you are at the mercy of how well and how consistent factory ammo shoots. For 500 yards and in, most factory ammo should suffice. Shooting 1000, and you need a lot more consistency than most factory ammo can deliver.
I think that is the true value. Accumulate components over time. When you need a brick of 1000 primers but 2-5. When you need a box of bullets but 2-5. When you need 100 rounds of brass but 200. And then when times are tight and therefore more expensive, like they are now, it doesn't hurt as bad to reload and shoot. Spreading the Expense out helps a bit. 
