Question

In: Economics

A discount bond with a $8,505 face value. If the current price of the bond is...

  1. A discount bond with a $8,505 face value. If the current price of the bond is $8,100, then the yield to maturity equals:

    4.7% or 4.7% or 4.9% or 5.0%
  2. Coronavirus (COVID-19) may shift the bond demand to the right.

    True or False
  3. Given a 15%-Coupon-Rate Bond Maturing in Four Years (Face Value = $3,000). If the yield to maturity is 15%, then the bond price is $3,000.

True or False

4. Income Effect shows that a higher level of income causes the demand for money at each interest rate to increase and the demand curve to shift to the right

True or False

Solutions

Expert Solution

1. Option (d) is the correct answer

            Given,

                                    Face value    = $8505

                                   Current price = $8100

Assuming 1 year as the time period,

Yield to maturity = {[{Face value/current price}] 1/time period} – 1

                         Thus, Yield to maturity = (8505/8100) – 1

                                                               = 0.05 ie 5%

2) The statement is false.

During the Covid-19 crisis, most of the economies are expected to be affected badly which will result in recessionary effects. Due to these recessionary effects, the bond prices are expected to fall and hence the bond demand would be shifted to the left denoting a decline in the demand for bonds.

3) The given statement is false

Given,

                         Coupon rate = 15% = 0.15

                        Time period = 4 years

                          Face value = $3000

                 Yield to maturity = 15% = 0.15

We know that

                             Yield to maturity = {[{Face value/current price}] 1/time period} – 1

Thus, substituting, 0.15 = [{[3000/x}]1/4] – 1

                               1.15 = [3000/x]1/4

         Raising to the power of 4 on both sides, (1.15)4 = 3000/x

                                                                            Ie; 1.75 = 3000/x

Thus, x ie; The current bond price = 3000/1.75

                                                        = 1714

4) The statement is true.

Income effect defines that with rise in the income, the demand also would rise. The demand curve depicts the demand of a commodity with price levels in the market, Thus, with rising income levels, the demand would rise even if the price levels are high. This means that the demand curve will shift to the right.


Related Solutions

Suppose the price of the two-year pure discount bond with a $2,500 face value is only...
Suppose the price of the two-year pure discount bond with a $2,500 face value is only $1,900. Is there an arbitrage opportunity? Is yes, how would you structure a trade that has zero cash-flow in years 1 and 2 and a positive cash-flow only in year 0 (i.e. now). (a) What must the price of a two-year pure discount bond with a $2,500 face value be in order to avoid arbitrage? (b) Suppose the price of the two-year pure discount...
What should the current market price be for a bond with a$1,000 face value, a...
What should the current market price be for a bond with a $1,000 face value, a 10% coupon rate paid annually, a required rate of return of 12%, and 20 years until maturity?What should the current market price be for a bond with a $1,000 face value, a 10% coupon rate paid annually, a required rate of return of 8%, and 20 years until maturity?What generalizations about bond prices can you make given your answers to #1 and #2?A bond...
The current price of a 6-month zero coupon bond with a face value of $100 is...
The current price of a 6-month zero coupon bond with a face value of $100 is B1. If a 9-month strip with a face value of $100 is currently trading for B2, find the forward interest rate for the 6 to 9 month period. Solve by both continuous compounding and quarterly compounding. Write your answers for the following: 10. Six-month spot interest rate for quarterly compounding. 11. Nine-month spot interest rate for quarterly compounding. 12. Forward rate (6 to 9...
The current price of a 6-month zero coupon bond with a face value of $100 is...
The current price of a 6-month zero coupon bond with a face value of $100 is B1. If a 9-month strip with a face value of $100 is currently trading for B2, find the forward interest rate for the 6 to 9 month period. Solve by both continuous compounding and quarterly compounding. Write your answers for the following: 14. Nine-month spot interest rate for continuous compounding. 15. Forward rate (6 to 9 months) for continuous compounding. 16. What is the...
Price a 10% coupon $1000 face value, 20-year bond if the appropriate discount rate is 8%...
Price a 10% coupon $1000 face value, 20-year bond if the appropriate discount rate is 8% for the first 10-years and 6% for the second 10-years. Show your return in dollars and percent if you hold this bond for 4-years. (Note: show all work and do not use a finance calculator.)
A two-year, 8% coupon bond with a face value of $1,000 has a current price of...
A two-year, 8% coupon bond with a face value of $1,000 has a current price of $1,000. Assume that the bond makes annual coupon payments. The term structure of interest rates is flat. (a) What is the bond’s yield-to-maturity? (b) Using the concept of duration, find the approximate percentage change in the price of the bond if the yield-to-maturity drops by 1%. (c) Compared with the coupon bond in this problem, would the price of a two-year, U.S. Treasury STRIP...
1. Calculate the price of a bond with Face value of bond is $1,000 and: a....
1. Calculate the price of a bond with Face value of bond is $1,000 and: a. Bond yield of 8.4%, coupon rate of 7% and time to maturity is 5 years. Coupon is paid semi-annually (Bond 1) b. Bond yield of 7%, coupon rate of 8% and time to maturity is 4 years. Coupon is paid semi-annually c. Calculate the price of Bond 1 right after the 5th coupon payment. 2. Arcarde Ltd issues both ordinary shares and preference shares...
Assume this is a demand and supply schedule for a one-year discount bond with face value...
Assume this is a demand and supply schedule for a one-year discount bond with face value of $1,000. Complete the column for corresponding interest rate. Interest rate (%) Price bond Quantity demanded Quantity supplied _______ 1000 0 900 ________ 900 200 850 ________ 800 400 800 ________ 700 600 750 ________ 600 800 700 ________ 500 1000 650 b. Given the above demand and supply schedules for the discount bond market, solve for equilibrium price, quantity, and interest rate. Demand...
What is the price of a $1,000 face value bond if the quoted price is 100.3?
What is the price of a $1,000 face value bond if the quoted price is 100.3?
A 4-year discount bond selling for $15,000 with a face value of $20,000 has a yield...
A 4-year discount bond selling for $15,000 with a face value of $20,000 has a yield to maturity of A) 25 percent. B) 7.5 percent. C) 8.3 percent. D) 33.3 percent. How is B the answer, would like to know how to do this using financial calculator.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT