In: Finance
Waterway, Inc., has bonds outstanding that will mature in 8
years. The bonds have a face value of $1,000. These bonds pay
interest semiannually and have a coupon rate of 4.6 percent. If the
bonds are currently selling at $901.92, what is the yield to
maturity that an investor who buys them today can expect to earn?
(Round answer to 1 decimal place, e.g.
5.2%.)
Yield to maturity | % |
What is the effective annual yield? (Round answer to 3
decimal places, e.g. 5.275%.)
Effective annual yield | % |
What is the Yield To Maturity (YTM)?
Answer: 3.1% (3.063% rounded to 3.1%)
What is the effective annual yield?
Answer: 3.086%
Working
Formula for calculating Yield To Maturity (YTM)
F (i.e. Face value) = $1000
P (i.e. current price) = $901.92
N = period = 16 (8 year * 2 (i.e. semiannual coupon payment)
C (i.e. coupon) = Face value * Coupon Rate
= $1000 * 2.3%
= $23
(Note: since coupons are paid semiannually so coupon rate will be 2.3% (i.e. 4.6% ÷2)
Effective annual yield – Calculation.
Formula for calculating effective annual yield is as follows