Assume you own a AAA Corporate bond with a maturity in $30$ years.

What instrument$/$security would you would you use to calculate the items below? Be specific about the name of the security and maturity if applicable.

Real Risk$-$free Rate

Inflation Premium

Default Risk Premium

$2.$ Look at the interest rates at FRED from September, $2012$

Determine the following

Real Risk$-$free Rate

Default Risk Premium for a $30-$year BBB Corporate Bond

Inflation Premium for a $10-$year bond

Maturity Risk Premium for a $30-$year AAA Corporate Bond

$3.$ Go to SEC Edgar, Search for HD and form $424$B$2.$ What was the rate paid on the notes found in the September $4,2013$ prospectus $(2013-09-04)?$