Question

In: Finance

A $1,300 face value corporate bond with a 7.10 percent coupon (paid semiannually) has 15 years...

A $1,300 face value corporate bond with a 7.10 percent coupon (paid semiannually) has 15 years left to maturity. It has had a credit rating of BB and a yield to maturity of 8.5 percent. The firm recently became more financially stable and the rating agency is upgrading the bonds to BBB. The new appropriate discount rate will be 7.4 percent. What will be the change in the bond’s price in dollars and percentage terms? (Round your answers to 3 decimal places. (e.g., 32.161))

  Change in the bond’s price in dollars $       
  Change in the bond’s price in percentage

Solutions

Expert Solution

Change in dollars = Old price - new price = 1,147.311 - 1265.018 = -117.707

Change in percentage = change in dollars/ old price * 100 = -117.707 / 1147.311 *100 = -10.259%

Old price:

Particulars Cash flow Discount factor Discounted cash flow
Interest payments-Annuity (4.25%,30 periods) 46.2 16.7790 774.35
Principle payments -Present value (4.25%,30 periods) 1,300 0.2869 372.96
A Bond price                 1,147.31
Face value                 1,300.00
Premium/(Discount)                   -152.69
Interest amount:
Face value 1,300
Coupon/stated Rate of interest 7.10%
Frequency of payment(once in) 6 months
B Interest amount 1300*0.071*6/12= 46.15
Present value calculation:
yield to maturity/Effective rate 8.50%
Effective interest per period(i) 0.085*6/12= 4.250%
Number of periods:
Ref Particulars Amount
a Number of interest payments in a year                                     2
b Years to maturiy                                15.0
c=a*b Number of periods                                   30

New price:

Particulars Cash flow Discount factor Discounted cash flow
Interest payments-Annuity (3.7%,30 periods) 46.2 17.9397 827.92
Principle payments -Present value (3.7%,30 periods) 1,300 0.3362 437.10
A Bond price                 1,265.02
Face value                 1,300.00
Premium/(Discount)                     -34.98
Interest amount:
Face value 1,300
Coupon/stated Rate of interest 7.10%
Frequency of payment(once in) 6 months
B Interest amount 1300*0.071*6/12= 46.15
Present value calculation:
yield to maturity/Effective rate 7.40%
Effective interest per period(i) 0.074*6/12= 3.700%
Number of periods:
Ref Particulars Amount
a Number of interest payments in a year                                     2
b Years to maturiy                                15.0
c=a*b Number of periods                                   30

Related Solutions

A $1,300 face value corporate bond with a 6.8 percent coupon (paid semiannually) has 15 years...
A $1,300 face value corporate bond with a 6.8 percent coupon (paid semiannually) has 15 years left to maturity. It has had a credit rating of BBB and a yield to maturity of 7.5 percent. The firm has recently gotten into some trouble and the rating agency is downgrading the bonds to BB. The new appropriate discount rate will be 8.8 percent. What will be the change in the bond’s price in dollars and percentage terms?
A $2,200 face value corporate bond with a 6.1 percent coupon (paid semiannually) has 15 years...
A $2,200 face value corporate bond with a 6.1 percent coupon (paid semiannually) has 15 years left to maturity. It has had a credit rating of BBB and a yield to maturity of 6.6 percent. The firm has recently gotten into some trouble and the rating agency is downgrading the bonds to BB. The new appropriate discount rate will be 7.9 percent. What will be the change in the bond’s price in dollars and percentage terms? (Negative values should be...
A $1,900 face value corporate bond with a 5.8 percent coupon (paid semiannually) has 15 years...
A $1,900 face value corporate bond with a 5.8 percent coupon (paid semiannually) has 15 years left to maturity. It has had a credit rating of BBB and a yield to maturity of 6.3 percent. The firm has recently gotten into some trouble and the rating agency is downgrading the bonds to BB. The new appropriate discount rate will be 7.4 percent. What will be the change in the bond’s price in dollars and percentage terms? (Negative values should be...
A $1,500 face value corporate bond with a 7.30 percent coupon (paid semiannually) has 15 years...
A $1,500 face value corporate bond with a 7.30 percent coupon (paid semiannually) has 15 years left to maturity. It has had a credit rating of BB and a yield to maturity of 8.7 percent. The firm recently became more financially stable and the rating agency is upgrading the bonds to BBB. The new appropriate discount rate will be 7.6 percent. What will be the change in the bond’s price in dollars and percentage terms? (Round your answers to 3...
A $2,400 face value corporate bond with a 6.3 percent coupon (paid semiannually) has 15 years...
A $2,400 face value corporate bond with a 6.3 percent coupon (paid semiannually) has 15 years left to maturity. It has had a credit rating of BBB and a yield to maturity of 6.8 percent. The firm has recently gotten into some trouble and the rating agency is downgrading the bonds to BB. The new appropriate discount rate will be 8.1 percent. What will be the change in the bond’s price in dollars and percentage terms?
A $1,400 face value corporate bond with a 6.9 percent coupon (paid semiannually) has 13 years...
A $1,400 face value corporate bond with a 6.9 percent coupon (paid semiannually) has 13 years left to maturity. It has had a credit rating of BBB and a yield to maturity of 7.6 percent. The firm has recently gotten into some trouble and the rating agency is downgrading the bonds to BB. The new appropriate discount rate will be 8.9 percent. What will be the change in the bond’s price in dollars and percentage terms? (Negative values should be...
A $2,200 face value corporate bond with a 5.50 percent coupon (paid semiannually) has 10 years...
A $2,200 face value corporate bond with a 5.50 percent coupon (paid semiannually) has 10 years left to maturity. It has had a credit rating of BB and a yield to maturity of 7.6 percent. The firm recently became more financially stable and the rating agency is upgrading the bonds to BBB. The new appropriate discount rate will be 6.7 percent. What will be the change in the bond’s price in dollars and percentage terms? (Round your answers to 3...
A $1,700 face value corporate bond with a 5.6 percent coupon (paid semiannually) has 12 years...
A $1,700 face value corporate bond with a 5.6 percent coupon (paid semiannually) has 12 years left to maturity. It has had a credit rating of BBB and a yield to maturity of 7.9 percent. The firm has recently gotten into some trouble and the rating agency is downgrading the bonds to BB. The new appropriate discount rate will be 9.2 percent. What will be the change in the bond’s price in dollars and percentage terms? (Negative values should be...
A $2,800 face value corporate bond with a 6.10 percent coupon (paid semiannually) has 10 years...
A $2,800 face value corporate bond with a 6.10 percent coupon (paid semiannually) has 10 years left to maturity. It has had a credit rating of BB and a yield to maturity of 8.2 percent. The firm recently became more financially stable and the rating agency is upgrading the bonds to BBB. The new appropriate discount rate will be 7.3 percent. What will be the change in the bond’s price in dollars and percentage terms? (Round your answers to 3...
a. A 9.5 percent coupon (paid semiannually) bond, with a $1,000 face value and 20 years...
a. A 9.5 percent coupon (paid semiannually) bond, with a $1,000 face value and 20 years remaining to maturity. The bond is selling at $960. (Do not round intermediate calculations. Round your answer to 3 decimal places. (e.g., 32.161)) Yield to maturity___________ % per year   b. An 10 percent coupon (paid quarterly) bond, with a $1,000 face value and 10 years remaining to maturity. The bond is selling at $902. (Do not round intermediate calculations. Round your answer to 3...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT