As far as payments go, leasing and buying are the same to start.
Let's say you buy a $30,000 car and take a loan for 6 years with zero down, at 5% interest, your loan payments are $483.15
Let's say you lease the same car for 3 years and have a residual of $15,000 with zero down and an interest rate of 5%, your payments are $449.56
Now let's say you have $5000 down payment
For buying, your loan is $25,000 and your payments drop to $402.62
For leasing your cost is $10,000 and your payments drop to $299.71
For a $10,000 down payment
For buying, your loan is $20,000 and your payments drop to $322.10
For leasing, your cost is $5,000 and your payments drop to $149.85
They try to confuse you with "cost of money" instead of "interest rate" and it is hard to tell what the applied interest rate is unless you bring you spread sheet program along.
The other things are residual cost or guaranteed buy back price.
Allowable mileage is often very low
Also, most people don't negotiate on price when they enter a lease. If you wouldn't pay MSRP when buying, why pay MSRP when leasing?
There are a lot of ways for them to get you on a lease because they control everything. if you get them down on price, then the cost of money goes up.
Some banks and credit unions do leases that are fair. Better to go through them than the dealer unless it is an advertised special on a certain car which they make a good deal on to draw you in and that deal is usually a low cost of money deal.
Good luck
Jerseyboy