Please show the solutions in hand writing so that I can better understand the formulas.

Question 3 a) Mr. Chan is the portfolio manager for a large insurance company. He is considering investing $5 million to purchase some bonds of Khabet Inc. All of Khabet's bonds have market prices that imply a yield to maturity of 8% (paid semi-annually). He is particularly interested in a bond that matures in 6 years and pays a 10% coupon. At what price should this bond currently sell? (3 marks) b) You are the beneficiary of a life insurance policy. The insurance company informs you that you have two options for receiving the insurance proceeds. You can receive a lump sum of $250,000 today or receive payments of $1,400 a month for 20 years. You can earn 6 percent on your money. Which option should you take