Answer:
The price of the bond at issuance is $973.
Explanation:
The selling price of the bond is equal to the present value of all cash flow received from the holding the bonds to maturity, at the issuance time. Thus, these cash flows would be discounted at the annual market rate at the time it is sold which is 5%.
Holding the bond would generate 2 types of cash flows:
+ Annual coupon payment at the end of each year at Face value x coupon rate = 1000 x 4% = $40, for 3 year. Present value of this cash flow = [ 40 / 5%] x [ 1 - (1+5%)^(-3)] = $109
+ Face value payback at the end of 3 year whose present value = 1000 / 1.05^3 = $864
=> Selling price = 109 + 864 = $973.