I don't have the time for a full on lit review, but here's a Google Scholar search:

https://scholar.google.com/scholar?hl=en&q=labor+delivery+risks+cascade+of+interventions&btnG=&as_sdt=1%2C45&as_sdtp=

The first link is one example ... shows a 30% increase in risk when you give an epidural. I personally am skeptical that it's that high [edited: as folks have pointed out, I read this study wrong as it's not about increases in risk but in cost----so skip this sentence and go on to the rest of my post]. If you looked at other studies, but trust me----my wife and I looked at a LOT of research and it's true that for low-risk women, there are significant risks when you introduce medical interventions before needed (such as some types of monitoring and epidurals). Simply put, lying on your back (which is what an epidural typically does for you), increases risks of c-sections.

Here's a Google Scholar search on home birth risks. Again, I only looked at the first link, which showed the risks being as low or lower for home births for low-risk pregnancies. There's also a meta-analysis there saying the same thing.

https://scholar.google.com/scholar?q=home+birth+risks&btnG=&hl=en&as_sdt=0%2C45