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Yan Yan Corp. has a $3,000 par value bond outstanding with a coupon rate of 5.2 percent paid semiannually and 25 years to maturity. The yield to maturity on this bond is 4.8 percent. What is the price of the bond? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Respuesta :

Answer:

$3,173.63

Explanation:

For computing the price of the bond we need to apply the present value i.e to be shown in the attachment

Given that,  

Future value = $3,000

Rate of interest = 4.8% ÷ 2 = 2.4%

NPER = 25 years × 2 = 50 years

PMT = $3,000 × 5.2% ÷ 2  = $78

The formula is shown below:

= -PV(Rate;NPER;PMT;FV;type)

So, after applying the above formula, the price of the bond is $3,713.63

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