A young engineering company is a subcontractor in an effort to develop technology that will reliably detect and respond to release of a nuclear weapon. The company is in need of additional funding and issues a series of $$1,000$ face value bonds that pay a nominal annual rate of $7\%$ with quarterly payments. The bond matures in $6$ years. If you buy one bond for $$890,$ but need to sell it immediately after the $12$th interest payment for $$890,$ what is your effective annual rate of return?