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1. Great Wall Pizzeria issued 4-year bonds one year ago at a coupon rate of 5.2

ID: 2709740 • Letter: 1

Question

1. Great Wall Pizzeria issued 4-year bonds one year ago at a coupon rate of 5.2 percent. If the YTM on these bonds is 7.6 percent, what is the current bond price? (Round your answer to 2 decimal places. Omit the "$" sign in your response.)

         

  Price

$   

2. Both bond A and bond B have 9.4 percent coupons and are priced at par value. Bond A has 7 years to maturity, while bond B has 20 years to maturity.

a)

Assume if interest rates suddenly rise by 2 percent, what is the percentage change in price of bond A and bond B? (Round your answer to 2 decimal places. Negative answers should be indicated by a minus sign. Omit the "%" sign in your response.)

          

  Bond A

%

  Bond B

%

             

b)

Assume if interest rates suddenly fall by 2 percent instead, what would the percentage change in price of bond A and bond B? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

               

  Bond A

%

  Bond B

%

3. Suppose you buy a 7.2 percent coupon bond today for $1,140. The bond has 10 years to maturity.

               

a.

What rate of return do you expect to earn on your investment? (Round your answer to 2 decimal places. Omit the "%" sign in your response.)

           

  Rate of return

%

          

b-1.

Two years from now, the YTM on your bond has increased by 2 percent, and you decide to sell. What price will your bond sell for? (Round your answer to 2 decimal places. Omit the "$" sign in your response.)

     

  Price

$   

        

b-2.

What is the annual realized yield on your investment? (Negative amounts should be indicated by a minus sign. Round your answer to 2 decimal places. Omit the "%" sign in your response.)

                            

  Realized return

%

4. What is the Macaulay duration of a 10.4 percent coupon bond with five years to maturity and a current price of $974.60? What is the modified duration? (Round your answer to 3 decimal places.)

                  

Duration

  Macaulay

Years  

  Modified

Years  

5. Consider a 9.00 percent coupon bond with six years to maturity and a current price of $958.50. Suppose the yield on the bond suddenly increases by 2 percent.

         

1.

Use duration to estimate the new price of the bond. (Round your answer to 2 decimal places. Omit the "$" sign in your response.)

         

  Price

$   

            

2.

Calculate the new bond price. (Round your answer to 2 decimal places. Omit the "$" sign in your response.)

          

  Price

$   

6. A Treasury bond with 8 years to maturity is currently quoted at 108:7. The bond has a coupon rate of 8.3 percent. What is the yield value of a 32nd for this bond? (Round your answer to 3 decimal places.)

           

  Yield value (in basis point)

  

1. Great Wall Pizzeria issued 4-year bonds one year ago at a coupon rate of 5.2 percent. If the YTM on these bonds is 7.6 percent, what is the current bond price? (Round your answer to 2 decimal places. Omit the "$" sign in your response.)

Explanation / Answer

Ans 1

Details Amount Current Market Prize= sum total of Present Value of coupon payments and face value at end of maturity period discounted at YTM Maturity Period in years           3.00 Annual coupon rate 5.2% Annual YTM 7.6% Face Value 1,000.00 Price=(C*(1-(1+YTM)^-3)/1+YTM)+FV*1+YTM^-3      937.70 Where C=Coupon Amount PA YTM Annual YTM FV=Face Value