A recent study of 510 women in New Zealand showed that giving women free IUDs after abortions drastically reduced their chances of a repeat abortion within two years, compared to the women in the study who chose to go on the pill.
According to Reuters,
Of 510 women who'd been offered contraceptives free of charge at an abortion clinic, less than six percent of those who went on to use an intrauterine device, or IUD, ended up having another abortion within two years....Nearly one in 10 women had a repeat abortion at the clinic within two years. Those who'd said they used an IUD had a 64-percent lower chance of ending up at the clinic again compared to women on the pill.
Among the many reasons this is important: Because IUDs are more expensive up-front than monthly payments for the birth control pill, many women who want them don't get them, according to a Guttmacher analyst quoted in the piece. "If you can take away those up-front costs as a barrier and allow women to choose among the different options ...most women end up choosing IUDs," he said.
How do you take away those up-front costs? Well, you can force insurance to fully cover contraceptives without co-pays. That would involve accepting the Institute of Medicine's recommendations that health insurance reform include that.