18. Jerome Corporation's bonds have 15 years to maturity, a coupon rate of 8.75%, semiannual coupon payments, and a $1,000 par value. The bond has a 6.50% nominal yield to maturity (ra), but it can be called in 6 years at a price of $1,050. What is the bond's (nominal) yield to call (YTC)? (Hint: First, find the price of bond) a. 5.01% b. 5.27% c. 5.54% d. 5.81% c. 6.10%
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- 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 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 Price $983.78 865.89 797.92 732.00 660.24 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?4) A coupon bond pays this amount every 6 months; $ 30.00 bgs for the number of payments/year; 2 The bond also pays at maturity the par (face) value; $ 1,000.00 Number of years until maturity 15 The required return of holders of this bond is; 8.00% bgs a) What is the PV of the CFs, or what would be the fair price to purchase this bond? b) If the required return of holders of this bond is; 6.00% bgs What is the PV of the CFs, or what would be the fair price to purchase this bond? c) If the required return of holders of this bond is; 4.00% What is the PV of the CFs, or what would be the fair price to purchase this bond? to purchase this bond? bgs d) If the previous bond sells for; $ (976.00) What must be the yield to maturity for this bond (aka IRR) ? (to…
- 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. A two-year bond pays a coupon rate of 10 percent and has a face value of $1,000. (In other words, the bond pays interest of $100 per year, plus its principal of $1,000 in year 2.) If the bond sells for $960, what is its approximate yield to maturing? Hint: This requires a little trial-and-error calculations. Ans: ------------------1. Calculate the value of a fixed-rate bond with fifteen years left to maturity, annualcoupon payments at a coupon rate of 5.0%, face value of $1,000, and yield-to-maturityof 3.5%. hint: See solution for similar problem in lecture presentation on Bonds.Should the calculated value be greater than or less than $1,000?
- A bond with a face value of $1,000 has 10 years until maturity, has a coupon rate of 5.2%, and sells for $1,105. a. What is the current yield on the bond? (Enter your answer as a percent rounded to 2 decimal places.) b. What is the yield to maturity if interest is paid once a year? (Do not round intermediate calculations. Enter your answer as a percent rounded to 4 decimal places.) c. What is the yield to maturity if interest is paid semiannually? (Do not round intermediate calculations. Enter your answer as a percent rounded to 4 decimal places.)What is the semi-annual coupon bond’s nominal yield to maturity (YTM), if the years to maturity is 15 years, and sells for 119% with coupons rate of 10%? Assume the par value of the bond is $1,000. DO NOT USE EXCEL to work answers SHOW ALL WORKINGS1. The price of a bond is $970 with a face value of $1000 which is the face value ofmany bonds. Assume that the annual coupons rate is 12%, and that there are 10 yearsremaining until maturity. What is YTM? 1. Find the price of a semiannual coupon bond given that the coupon rate = 9.5%,the face value = $1000, the required return = 17%, and there are 13 years remaininguntil maturity. 1. Find the yield to call on a semiannual coupon bond with a face value of $1000, a12% coupon rate, 15 years remaining until maturity given that the bond price is $1175and it can be called 9 years from now at a call price of $1050. 1. XYZ Corporation arranged a repurchase agreement in which it purchasedsecurities for $4.9 million and will sell the securities back for $5.5 million in 40 days.What is the yield to XYZ Corporation? 1. You paid $98,000 for a $100,000 T-bill maturing in 100 days. If you hold it untilmaturity, what is the T-bill yield? What is the T-bill discount?
- A bond has 10 years until maturity, a coupon rate of 9%, and sells for $1,100. Interest is paid annually. (Assume a face value of $1,000.) If the bond has a yield to maturity of 9% 1 year from now, what will its price be at that time? Note: Do not round intermediate calculations. What will be the rate of return on the bond? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign. If the inflation rate during the year is 3%, what is the real rate of return on the bond? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Negative amount should be indicated by a minus sign.1. Two bonds are available for purchase in the financial markets. The first bond is a two-year, $11,000 bond that pays an annual coupon of 10 %. The second bond is a two-year, $11,000, zero-coupon bond. (a) What is the duration of the coupon bond if the current yield-to-maturity (R) is 8 %? 10 %?12 %?Coupon bond: Par value = $11,000 Coupon rate = 10% Annual payments (b) How does the change in the current yield to maturity affect the duration of this coupon bond? (c) Calculate the duration of the zero-coupon bond with a yield to maturity of 8 %, 10 % and 12%. (d) How does the change in the yield to maturity affect the duration of the zero-coupon bond? (e) Why does the change in the yield to maturity affect the coupon bond differently to the way it affects the zero-coupon bond?D4) Suppose that there is 30-year coupon bond with par value of $100 and Macaulay duration of 20.56. The coupon rate is unknown. Currently, the bond is traded at $90 and the yield is flat at 20% pa. Yield to maturity is an annualized simple interest rate compounded annually. If the bond yield increases by 50 basis points, what is the approximation of the percentage capital gain or loss? Please choose the correct range for the percentage capital gain/loss, i.e., if it is -3.5%, please select “A value between -3% and -4%” A value between -9% and -10% A value between -8% and -9% None of the other answers are correct. A value between -7% and -8% A value between -10% and -11%