please answer this with the formulas and in the finance way (mathematical) w how you got the answer. thankyou

2. Answer the following questions regarding bond valuation. a. What is the price of a $1,000 par value bond with a 6% coupon rate paid semi- annually, if the bond is priced to yield 4% and it has five years to maturity? (10%) b. Following a, what would be the price of the bond if the coupon is paid quarterly? (5%) c. Explain how the calculation changes, given semi-annual coupons in (a) versus quarterly coupons in (b). (10%) (Underline your final answer for a and b, e.g., Ans.: XXXX)