Answer:
Using the approximation formulas we can conclude the YTM and YTM respectively are as follow:
YTM 4.2982456%
YTC 5.3846154%
Explanation:
Yield to Call:
[tex]YTC = \frac{C + \frac{F-P}{n }}{\frac{F+P}{2}}[/tex]
C= 37.5 (1,000 x 7.5% / 2 payment per year)
F= 1050 future call price
P= 900 market price
n= 10 (5 years x 2 payment per year)
[tex]YTM = \frac{37.5 + \frac{1050-900}{10 }}{\frac{1050+900}{2}}[/tex]
quotient 5.3846154%
Yield to maturity:
[tex]YTM = \frac{C + \frac{F-P}{n }}{\frac{F+P}{2}}[/tex]
C= 37.5
F= 1000
P= 900
n= 30
[tex]YTM = \frac{C + \frac{1,000 - 900}{30}}{\frac{1.000 + 900}{2}}[/tex]
quotient 4.2982456%