Yield-to-Call

A company issues a callable bond with the falling features:

• 7% coupon rate
• Semi-annual coupon payments
• $1,000 face value
• Matures in 15 years
• The bond may be called after 3 years.
• Call premium: If the bond is called anytime during the 2-years period beginning 3 years from today and ending 5 years from today, the company will pay a face value of $1,250 instead of $1,000.

Compute the yield an investor will earn buying the bond today for $1,233.10 if it is called in exactly 3 years and one day from today (the first day is it eligible to be called).