Problem #5: A 10-year bond has face value (redemption value) $500,000 and quarterly coupons of 1%. Consider the time right after the 12th coupon has been paid, when the yield is 2.5%. (a) What is the price of the bond? (b) Compute the price of the bond if the yield were to increase by 1 basis point (a basis point is 1/100 of 1%). What is the absolute value of the difference between that price, and your answer to part a)? (c) Would the yield have to increase or decrease in order for the bond to increase in value by $1516.24? (d) Based only on your answer to b), approximately how many basis points (bp) would the yield have to move in order for the bond to increase in value by $1516.24? (Answer as a positive integer.)

Problem #5: A 10-year bond has face value (redemption value) $500,000 and quarterly coupons of 1%. Consider the time right after the 12th coupon has been paid, when the yield is 2.5%. (a) What is the price of the bond? (b) Compute the price of the bond if the yield were to increase by 1 basis point (a basis point is 1/100 of 1%). What is the absolute value of the difference between that price, and your answer to part a)? (c) Would the yield have to increase or decrease in order for the bond to increase in value by $1516.24? (d) Based only on your answer to b), approximately how many basis points (bp) would the yield have to move in order for the bond to increase in value by $1516.24? (Answer as a positive integer.)

Intermediate Financial Management (MindTap Course List)

13th Edition

ISBN:9781337395083

Author:Eugene F. Brigham, Phillip R. Daves

Publisher:Eugene F. Brigham, Phillip R. Daves

Chapter4: Bond Valuation

Section: Chapter Questions

Problem 12P: Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may...

See similar textbooks

Similar questions

Yield to Maturity and Yield to Call Arnot International’s bonds have a current market price of $1,200. The bonds have an 11% annual coupon payment, a $1,000 face value, and 10 years left until maturity. The bonds may be called in 5 years at 109% of face value (call price = $1,090). What is the yield to maturity? What is the yield to call if they are called in 5 years? Which yield might investors expect to earn on these bonds, and why? The bond’s indenture indicates that the call provision gives the firm the right to call them at the end of each year beginning in Year 5. In Year 5, they may be called at 109% of face value, but in each of the next 4 years the call percentage will decline by 1 percentage point. Thus, in Year 6 they may be called at 108% of face value, in Year 7 they may be called at 107% of face value, and so on. If the yield curve is horizontal and interest rates remain at their current level, when is the latest that investors might expect the firm to call the bonds?
Bond Yields and Rates of Return A 10-year, 12% semiannual coupon bond with a par value of 1,000 may be called in 4 years at a call price of 1,060. The bond sells for 1,100. (Assume that the bond has just been issued.) a. What is the bonds yield to maturity? b. What is the bonds current yield? c. What is the bonds capital gain or loss yield? d. What is the bonds yield to call?
Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?
Suppose the face value of a bond which matures in seven years is $5,000, and pays a coupon of $75. Suppose the bond was purchased at a price of $2,000, and the price is estimated to be constant the entire time until maturity. What will be the rate of return on the bond? 40% 4% .0375% 3.75%
Question 1 : Consider a coupon bond with an 8% annual coupon rate, a 10% interest rate, and a $1000 face value. The bond will mature in 4 years. What is the duration of this bond? Duration is defined as a weighted average of the maturities of the cash payments. Suppose the weight assigned to the maturity of 1 year is W. Show your work. No work, no credit A: Duration 2.28 and W=7.77% B: Duration=3.56 and W-20.5% C. Duration 3.56 and W-23.1% D. Duration=3,56 and W-7.77%
suppose a 30 year, pay coupon of 4% is priced to yield 5%. par = 1000. the bond pays its coupon annually. calculate the instrinsic value of the bond. decide whether the bond is at premium or discount? please show the calculation using excel
Example: Interest Rate Change Suppose we buy a 5-year bond and an annual coupon rate of 4%. The bond's face value is $1,000. If interest rate changes from 7% to 6%, the bond's price will...? What is the RoR of the bond?
3. Suppose the face value of a discount bond (i.e. zero coupon bonds) is 8000 and the bond matures in 12 years. a. What will be the price of the bond if the market interest rate is 8%? b. What will be the price of the bond if the market interest rate is 10%? c. Explain the relationship between bond price and interest rate using your answers you got for question a and question b.
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4? Required A Price $940.93 Complete this question by entering your answers in the tabs below. 868.39 800.92 735.40 670.48 Required B Maturity (years) 2 3 Calculate the forward rate of interest for each year. Note: Round your answers to 2 decimal places. Required C Forward Rate % % Prov 12 of 12 Next
Problem #2: A bond has a face value (and redemption value) of $504,000, and pays coupons annually. The effective annual yield is 4 times the coupon rate. The present value of the redemption amount is 4 times the present value of the coupon stream. What is the price of the bond?
Consider a 10-year bond with a face value of $1,000 that has a coupon rate of 5.9%, with semiannual payments. a. What is the coupon payment for this bond? b. Draw the cash flows for the bond on a timeline. a. What is the coupon payment for this bond? The coupon payment for this bond is $ (Round to the nearest cent.)
Question A .Consider a 2-year, risk-free bond with a coupon rate of 6% (annual coupons) and a face value of $1,000. If the yield on the above bond is 6%: a. What is the Macaulay duration of this bond? b. If the yield increases to 7% immediately, what does the duration approximation predict will be the percentage change in the bond price? c. If the yield decreases to 5% instead, what is the approximate percentage change in the bond price implied by the bond’s duration? d. After receiving the first coupon payment in year 1, the yield increases to 7% and you decide to sell the bond. What is your annualized HPR? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line