Westover's has an outstanding bond with a coupon rate of 5.5 percent that matures in 12 years. The bond pays interest semiannually. What is the market price of one $1,000 face value bond if the yield to maturity is 7.13 percent?

Respuesta :

The market price when the face value is $1,000 should be $870.01.

Calculation of the market price:

We applied the PV function that is shown in the attachment below:

The NPER shows the time period.

Data provided below:

Future value = $1,000

Rate of interest = 7.13% ÷ 2 = 3.57%

NPER = 12 years  × 2 years = 24 years

PMT = ($1,000 × 5.5%) = $27.5

The formula is shown below:

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

So, after solving this, the answer is $870.01

Since in semi annual basis, the interest rate is half and the time period is doubled. The same is shown  above.

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