Please help me out with this question! It is worth 40% of my university mark! Please show full work (calculations)! Thank you.
A corporation valued one unit of a 10% coupon bond to be $3,623.4767. The bond pays semi-annual coupons, the YTM is 9.6%, and matures in 20 years. The corporation has 500 units of this bond outstanding.
a) What is the face value of this unique coupon bond?
b) What is the current yield of this bond?