Final answer:
To determine the yield to maturity on a one-year zero coupon bond, specific information regarding its market price and face value is needed, which is not provided in the question. Thus, there is not enough information to calculate the YTM.
Step-by-step explanation:
The yield to maturity (YTM) on a one-year zero coupon bond can be determined if we know the bond's face value, its current market price, and its maturity term. The YTM is the internal rate of return on the bond, taking into account the bond's current market price, its face value, and the time remaining until maturity. Since the question does not provide the current market price of the bond or its face value, there is not enough information to calculate the yield to maturity.
For example, consider that the investor will receive the $1,000 face value, plus $80 for the last year's interest payment on a coupon bond. If an investor buys this bond for $964, the yield on the bond will be ($1080 - $964)/$964 = 12%. However, zero coupon bonds do not have periodic interest payments, which affects the calculation method, and we would need the purchase price and face value specific to the zero coupon bond in question to calculate its yield to maturity.