what is the bond quote for a $1,000 face value bond with an 8 percent coupon rate (paid semiannually) and a required return of 7.5 percent, if the bond is 6.48574, 8.47148, 10.519, and 14.87875 years from maturity?



Answer :

Calculation of value of bond:

1. Maturity     Value

2.6.48574    $1,014.16

3.8.47148      $1,017.86

4.10.51900    $1,021.41 5

5.14.87875     $1,028.12

Below shows the formula used in above calculations:​​​​​

1. Maturity              Value

2. 6.48574 =PV (7.5%/2,6.48574, -1000*8%/2, -1000)

3. 8.47148 =PV (7.5%/2,8.47148, -1000*8%/2, -1000)

4. 10.519 =PV (7.5%/10.519, -1000*8%/2, -1000)

5. 14.87875 =PV (7.5%/14.87875, -1000*8%/2, -1000)

The coupon price is calculated through including up the full quantity of annual bills made through a bond, then dividing that through the face fee (or “par fee”) of the bond.

If an investor purchases a $1,000 ABC Company coupon bond and the coupon price is 5%, the company offers the investor with a 5% hobby each year. This approach the investor gets $50, the face fee of the bond derived from multiplying $1,000 through 0.05, each year.

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