Question

A 30-year bond matures in 7 years sells for $1,020, pays interest semiannually, and has a...

A 30-year bond matures in 7 years sells for $1,020, pays interest semiannually, and has a yield to maturity of 10.5883%. What is the bond’s current yield?

Homework Answers

Answer #1
Current Yield = Annual Interest / Current Price
= $110 / $1,020
= 10.7843%
Current Price = $     1,020
Face Value = $     1,000
Yield to maturity = 10.5883%
(Semiannual payments) [10.5883%/2] = 5.2942%
Yield to maturity = [Interest payment + (Face Value - Current price)/2] / [(Face Value + Current price)/2]
5.2942% = [Interest payment + (1,000 - 1,020)/2] / [((1,000 + 1,020)/2]
Interest Payment = $     55.00
Annual Interest payment = $55 X 2
= $         110
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