Established corporations rarely raise money by issuing stock. The yield on a bond is essentially the same thing as the interest on a loan. The yield on the benchmark 10-year Treasury note has been declining all year. When the Fed puts more money into the economy, there's always a risk that it could start an upward price spiral. But with inflation expectations so low, the Fed has plenty of room to tinker.
Lower rates tends to make the dollar weaker.
The greenback in recent months has been gaining strength against most other currencies, especially the Japanese yen. We're not trying to belittle Greenspan and the Fed, however. The economy is in uncharted territory. We've never had an economic expansion this long, or a stock market that soared so quickly to such heights. Reader, you would have done exactly the same.