Final answer:
The yield to maturity (YTM) for a bond bought for $9,250 and with a face value of $10,000 that matures in one year, with no specified coupon payments, is approximately 8.11%, making 8% (option 1) the closest choice.
Step-by-step explanation:
The yield to maturity (YTM) is the total return expected on a bond if the bond is held until maturity. In this case, to calculate the YTM for a bond with a face value of $10,000 that costs $9,250 and matures in one year, we need to determine the bond's total return, which includes both the interest payments and the capital gains.
Since the bond will pay out its face value at maturity, the investor stands to gain the difference between the face value of $10,000 and the purchase price of $9,250. Additionally, if there are any interest payments within that year, they will also be included in the total return. However, since the question does not specify any coupon or interest payments, we will assume it is a zero-coupon bond.
Therefore, the yield to maturity is calculated as ($10,000 - $9,250) / $9,250 = $750 / $9,250 = 0.0811 or 8.11%. The closest option to this calculation is 8%, hence option 1) 8% is the correct answer.