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leonid [27]
3 years ago
8

Acme Products has a bond issue outstanding with 8 years remaining to maturity, a coupon rate of 10% with interest paid annually,

and a par value of $1,000. If the current market price of the bond issue is $814.45, what is the yield to maturity, rd?
a. 13%
b. 15%
c. 12%
d. 16%
Business
1 answer:
Softa [21]3 years ago
8 0

Answer:

a. 13%

Explanation:

Interest Payment = C = $1,000 x 10% = $100

Face Value = F = $1,000

Market Price = P = $814.45

Year to maturity = n = 8 years

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

Yield to Maturity = [ $100 + ( ( $1,000 - $814.45 ) / 8 )] / [ ( $1,000 + $814.45 ) / 2 ]

Yield to Maturity = [ $100 + 23.19 ] / 907.225

Yield to Maturity =  123.19 / 907.225

Yield to Maturity = 13.5%

So the nearest option is a. 13%

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8-year bonds a year ago at a coupon rate of 8 percent. The bonds make semiannual payments and have a par value of $1,000. If the
nexus9112 [7]

Answer:

Current price of bond is $1060.47

Explanation:

Coupon payment = 1000 x 8% = $80 yearly = 80/2 = $40 semiannually

Number of periods = n = 8 years x 2 periods per year = 16

Yield to maturity = 7% yearly = 7% / 2 = 3.5%

Price of bond is the present value of future cash flows, to calculate Price of the bond use following formula:

Price of the Bond = C x [ ( 1 - ( 1 + r )^-n ) / r ] + [ F / ( 1 + r )^n ]

Price of the Bond =$80 x [ ( 1 - ( 1 + 3.5% )^-16 ) / 3.5% ] + [ $1,000 / ( 1 + 3.5% )^16 ]

Price of the Bond = $80 x [ ( 1 - ( 1.035 )^-16 ) / 0.035 ] + [ $1,000 / ( 1.035 )^16 ]

Price of the Bond = $483.76 + $576.71

Price of the Bond = $1,060.47

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Answer:

Explanation:

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