Join thousands of students who trust us to help them ace their exams!Watch the first video
Multiple Choice
Which of the following best defines the yield to call (YTC) of a bond?
A
The annual interest payment divided by the current market price of the bond.
B
The rate of return earned on a bond if it is held until the call date, assuming it is called at the earliest possible date and at the call price.
C
The total return on a bond including interest and capital gains, held for one year.
D
The rate of return earned on a bond if it is held until maturity.
Verified step by step guidance
1
Step 1: Understand the concept of Yield to Call (YTC). Yield to Call is the rate of return earned on a bond if it is held until the call date, assuming the bond is called at the earliest possible date and at the call price. This differs from Yield to Maturity (YTM), which assumes the bond is held until its maturity date.
Step 2: Identify the key components required to calculate YTC. These include the bond's call price, the time until the call date, the annual coupon payment, and the current market price of the bond.
Step 3: Use the formula for YTC. The formula is: \( YTC = \frac{C + \frac{(Call\ Price - Current\ Price)}{Years\ to\ Call}}{\frac{(Call\ Price + Current\ Price)}{2}} \), where \( C \) is the annual coupon payment.
Step 4: Break down the formula. The numerator represents the annual coupon payment plus the average annual capital gain (or loss) if the bond is called. The denominator represents the average price of the bond over the holding period.
Step 5: Apply the formula to the bond's specific details. Plug in the values for the call price, current market price, annual coupon payment, and years to call to calculate the YTC. This will give the rate of return if the bond is called at the earliest possible date.