Calculate the Modified Duration of the following securities: 10 % semi-annual coupon maturating in 5 years trading at a yield of 8 % 6% annual coupon maturating in 9 years trading at a yield of 8 % Also, please explain what is convexity as it applies to one of the above securities
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Debenture Valuation
A debenture is a private and long-term debt instrument issued by financial, non-financial institutions, governments, or corporations. A debenture is classified as a type of bond, where the instrument carries a fixed rate of interest, commonly known as the ‘coupon rate.’ Debentures are documented in an indenture, clearly specifying the type of debenture, the rate and method of interest computation, and maturity date.
Note Valuation
It is the process to determine the value or worth of an asset, liability, debt of the company. It can be determined by many processes or techniques. Many factors can impact the valuation of an asset, liability, or the company, like:
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- Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM 1 6.70% 2 7.10% 3 7.30% 4 7.70% 5 8.00% What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 5%? What is the yield to maturity for this bond? What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 5%? The price is $ (Round to the nearest cent.)Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. Note: Input your answers as a percent rounded to 2 decimal places. Interest Rate 1-year T-bill at beginning of year 1 6% 1-year T-bill at beginning of year 2 9% 1-year T-bill at beginning of year 3 10% 1-year T-bill at beginning of year 4 12% Expected Return 2 year security % 3 year security % 4 year security %Compute the following for a 2-years to maturity, 10% semi-annual fixed coupon bond when its yield- to-maturity is 12% and price is 96.53 (assuming a face value of $100): a. Total holding period return without reinvestment b. Annualized holding period return Total holding period return with reinvesting coupons at 12% d. Annualized holding period return with reinvestment С.
- Assume that the current yield on one-year securities is 7 percent, and that the yield on a two-year security is 8 percent. If the liquidity premium on a two-year security is 0.6 percent, then the one-year forward rate is approximately: Group of answer choices 8.6 percent. 7.4 percent. 8.4 percent. 7.6 percent.Using a spreadsheet, find the yield-to-maturity (YTM) on an 8-year, 6% coupon bond such that the present value of its coupons equals the present value of its par value. Report your answer as a percentage with 2-digit precision (ex. show 12.3456% as 12.35). hint: "Goal seek"Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. Note: Input your answers as a percent rounded to 2 decimal places. 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 21 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return % % % Interest Rate 7% 9% 10% 12%
- Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. (Input your answers as a percent rounded to 2 decimal places.) Interest Rate 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 2 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2% 5% 4% 7% Expected Return 0.00 % 2-year security 3-year security % 4-year 2 decimal places required.Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM 1 5.00% 2 5.30% 3 5.50% 4 5 5.70% 5.80% Consider a five-year, default-free bond with annual coupons of 6% and a face value of $1,000. a. Without doing any calculations, determine whether this bond is trading at a premium or at a discount. Explain. b. What is the yield to maturity on this bond? c. If the yield to maturity on this bond increased to 6.20%, what would the new price be? a. Without doing any calculations, determine whether this bond is trading at a premium or at a discount. Explain. The bond is trading at because its yield to maturity is a weighted average of the yields of the zero-coupon bonds. (Select from the drop-down menu.)Suppose that the current three-year rate (three-year spot rate) and expected one- year T-bill rates over the following years are as follows: 1 R3 = 12% E(271) = 8% E(371) = 10% Using the unbiased expectations theory, calculate the current rates for one- and two-year maturity Treasury securities, i.e., 1 R₁ and 1 R2. Convert your answers to percentages. 1R1 = 17.39%; 1R2 = 12.56% O 1R1 = 20.73; 1R2 = 11.49% O 1R1 = 18.26%; 1R2 = 13.01% O 1R1 = 19.52; 1R2 = 14.74%
- Which of the following is the correct ranking of the price risk. Bond Coupon Rate Maturity (years) A 8% 5 B 6% 5 C 6% 10 A>B>C C>B>A A>C>BUsing the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. (Input your answers as a percent rounded to 2 decimal places.) 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 2 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return % % % Interest Rate 61 98 7% 108Assume the following: Bond A coupon = 6%, maturity = 5 years, yield to maturity = 6% Bond B coupon = 0%, maturity = 5 years, yield to maturity = 6% Bond C coupon = 6%, maturity = 5 years, yield to maturity = 6.5% Which of the following statements concerning duration is correct? Group of answer choices A. Duration of C<Duration of A=Duration of B. B. Duration of A>Duration of B>Duration of C. C. Duration of C < Duration of A < Duration of B. D. Duration of A< Duration of B<Duration of C.