In: Finance
Sheridan, 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 $863.92
1. What is the yield to maturity that an investor who buys them today can expect to earn? (Round answer to 3 decimal place, e.g. 5.275%.)
2. What is the effective annual yield? (Round answer to 3 decimal places, e.g. 5.275%.)
a.Information provided:
Par value= future value= $1,000
Coupon rate= 4.6%/2= 2.30%
Coupon payment= 0.023*1,000= $23
Current price=present value= $863.92
Time= 8 years*2= 16 semi-annual periods
The yield to maturity is calculated by entering the below in a financial calculator:
FV= 1,000
PMT= 23
PV= -863.92
N= 16
Press the CPT key and I/Y to calculate the yield to maturity.
The value obtained is 3.4183.
Therefore, the yield to maturity is 3.4183*2= 6.8366% 6.837%.
b.The effective annual yield is calculated using the below formula:
Effective annual yield= (1+r/n)^n-1
Where r is the interest rate and n is the number of compounding periods in one year.
Effective annual yield = (1 + 0.0684/2)^2 – 1
= 1.0696 -1
= 0.0696*100
= 6.960%.
In case of any query, kindly comment on the solution.