General Electric has just issued a callable (at par) 10-year, 6. 4% coupon bond
ID: 2774376 • Letter: G
Question
General Electric has just issued a callable (at par) 10-year, 6. 4% coupon bond with annual coupon payments. The bond can be called at par in one year or anytime thereafter on a coupon payment date. It has a price of $102. 29. What is the bond's yield to maturity? What is its yield to call? What is its yield to worst? What is the bond's yield to maturity? The bond's yield to maturity is %. (Round to two decimal places.) What is its yield to call? The yield to call is %. (Round to two decimal places.) What is its yield to worst? The yield to worst is %. (Round to two decimal places.)Explanation / Answer
Face value = 100
Pmt = 100 x 6.4% = 6.4
Price PV = 102.29
a) n = 10
We have following formula for price of the bond where r is yield to maturity:
PV= Pmt x PVIFA(n, r) + FV x PVIF(n, r)
102.29 = 6.4 x PVIFA(10, r) + 100 x (1, r)
Solving for r, we get r= 6.09%
Hence yield to maturity is 6.09%.
b) n = 1
We have following formula for price of the bond where r is yield to call:
PV= Pmt x PVIFA(n, r) + FV x PVIF(n, r)
102.29 = 6.4 x PVIFA(1, r) + 100 x (1, r)
Solving for r, we get r= 4.02%
Hence yield to call is 4.02%.
c) Yield to call is lower than yield to maturity. Hence yield to worst is equal to yield to call that is 4.02%.
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.