1. NU Tech is planning to raise $1,000,000 by selling 30-year semi-annual bonds with a 6% coupon rate. If a bond with similar risk has a YTM of 5.4%, how many bonds does NU tech need to sell to raise the $1,000,000? (Assume each bond has a face value of $1000. Bond cannot be sold in factions.)
2. 5 years ago, NU Tech sold an issue of 30-year semi-annual bonds with a 6% coupon rate. If a bond with similar risk has a YTM of 4.8% now, what is the current price of the bond by NU Tech? (Please answer in decimal format and keep 2 decimal places. Do not include "$" in your answer. Assume the face value is $1000.)
3. Nu Tech is issuing 30-year bonds. In order to sell the bond at par, what coupon rate does Nu Tech need to provide if a similar bond has a YTM of 5.8%. Please answer in decimal format and keep 4 decimal places. No credit will be awarded if your answer is in percentage.