Parkway Void Co. issued 15-year bonds two years ago at a coupon rate of 9.4 percent. The bonds make semiannual payments. If these bonds currently sell for 105 percent of par value, what is the YTM?

Question

Lainey Green

Business

29 May, 18:57

Parkway Void Co. issued 15-year bonds two years ago at a coupon rate of 9.4 percent. The bonds make semiannual payments. If these bonds currently sell for 105 percent of par value, what is the YTM?

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Answers (1)

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Charmer · Answer 1

4.42% semiannually OR 8.84% annually

Explanation:

The actual return that an investor earn on a bond until its maturity is called the Yield to maturity. It is a long term return which is expressed in annual rate.

According to given data

Assuming the Face value of the Bond is $1,000

Coupon Payment = C = $1,000 x 9.4% = $94 annually = $47 semiannually

Price of the Bond = P = $1,000 x 105% = $1,050

Numbers of period = n = 15 years x 2 = 30 periods

Use Following Formula to calculate YTM

Yield to maturity = [ C + (F - P) / n ] / [ (F + P) / 2 ]

Yield to maturity = [ $47 + ($1,000 - $1,050) / 30 ] / [ ($1,000 + $1,050) / 2 ]

Yield to maturity = $45.33 / $1,025 = 0.0442

Yield to maturity = 4.42% semiannually OR 8.84% annually