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- (3) Use a 1 bps shock to compute duration and convexity (using approximating measures for duration and convexity, respectively) for the following bond as of the origination date. Origination Date Maturity Date 12/31/2021 12/31/2023 $100 Par Value Annual Coupon Rate 2.00% Рayment frequenсy Quarterly Assume the applicable zero rates for this bond are the following on 12/31/2021 Date Zero rate 12/31/2021 3/31/2022 0.18% 6/30/2022 9/30/2022 0.42% 0.64% 12/31/2022 0.84% 3/31/2023 6/30/2023 9/30/2023 12/31/2023 1.06% 1.24% 1.35% 1.42%2. Determine the purchase price and the amount of premium/discount of the given bonds. Face Value Coupon Rate Yield Rate Redemption Date Purchase Date Purchase Price ? a. $1000.00 5.25% 5.25% January 01, 2024 January 01, 2019 b. $5000.00 4.75% 6.75% October 20, 2028 October 20, 2018 ? c. $10,000.00 7.85% 4.15% August 16, 2034 August 16, 2014 ? Amount of Premium/Discount ? ? ?If the YTM on the following bonds are identical except, what is the price of bond B? Bond A Bond B Face value $1,000 $1,000 Semiannual coupon $45 $35 Years to maturity 20 20 Price $1,098.96 ?
- Given: Bond Info: Coupon Rate 11.875% Quoted Yield 3.000% Maturity Date May 29, 2023 Frequency Tax Rate 20% Trade Info: Settlement Date April 25, 2022 Face Amount 30,000,000.00 The day count convention used in PH Bond Market 30/365 Actual/365 30/360Consider the following newly issued bonds: Inputs Juan Rojo, Incorporated 10-Year Bond McAllister Avionics 9-Year Bond Settlement Date 01-01-2020 01-01-2020 Maturity Date 01-01-2030 01-01-2029 Coupon Rate 0.080 0.050 Redemption Value 100 100 Coupons per Year 2 1 Market Data Initial Yield 0.075 Yield Change 0.010 Required: Using any necessary data above, calculate the Price, the Macaulay Duration and the Modified Duration for each bond. Then, predict the price change given a change in the prevailing yield. Then, assume the market yield changed, as described below. In the second table, calculate the approximate price change and new price according to duration (the first-order approximation). (Use cells A5 to C13 from the given information to complete this question.) Juan Rojo, Incorporated 10-Year Bond McAllister Avionics 9-Year Bond…Consider the following newly issued bonds: Inputs Juan Rojo, Incorporated 10-Year Bond McAllister Avionics 9-Year Bond Settlement Date 01-01-2020 01-01-2020 Maturity Date 01-01-2030 01-01-2029 Coupon Rate 0.080 0.050 Redemption Value 100 100 Coupons per Year 2 1 Market Data Initial Yield 0.075 Yield Change 0.010 Required: Using any necessary data above, calculate the Price, the Macaulay Duration and the Modified Duration for each bond. Then, predict the price change given a change in the prevailing yield. Then, assume the market yield changed, as described below. In the second table, calculate the approximate price change and new price according to duration (the first-order approximation). (Use cells A5 to C13 from the given information to complete this question.) Juan Rojo, Incorporated 10-Year Bond McAllister Avionics 9-Year Bond…
- This first table describes prevailing market interest rates. Market Data Yield 0.05 Required: Using the yield above and the information contained in the table below, please calculate the price and duration of the bond as well as all necessary steps. (Use cells A5 to B5 from the given information to complete this question.) Time Until Payment Payment Discounted Payment Weight Time × Weight 1.00 $30.00 2.00 $30.00 3.00 $30.00 4.00 $1,030.00 Price: DurationProblem: You are given the following data for two bonds with semiannual payments (A and B) Bond Settlement Date B 2/15/2020 2/15/2020 Maturity Date Coupon rate 2/15/2040 2/15/2040 4% 8% Similar bonds with 20 year to maturity sell for 9% coupon rates in the market. a) Calculate the bond value for bond A and B b) Calculate the YTM for bond A and B Bond Valuation Settlement Date 2/15/2020 2/15/2020 Maturity Date Coupon rate Required return Redemption Value Frequency Basis Calculate the PV of the bond in U.S. S 2/15/2040 2/15/2040 8% 4% 4.50% 4.50% 100 100 2 a) Use the Price Function B) Use the Yield FunctionThe following information about bonds A, B, C, and D are given. Assume that bond prices admit noarbitrage opportunities. What is the convexity of Bond D?Cash Flow at the end ofBond Price Year 1 Year 2 Year 3A 91 100 0 0B 86 0 100 0C 78 0 0 100D ? 5 5 105
- Given: Bond Info: Coupon Rate 11.875% Quoted Yield 3.000% Maturity Date May 29, 2023 Frequency Tax Rate 20% Trade Info: Settlement Date April 25, 2022 Face Amount 30,000,000.00 From the settlement date, when is the last coupon date of the bond? Answer is in format dd/mm/yyyY | 29/11/2021 29/05/2021 25/04/2022A B C D E The following tables contain coupon, pricing, and other information for a series of bonds with different maturities. Bond Characteristics Settlement date Bond A 3/15/2023 Maturity date 11/14/2027 Bond B Bond C Bond D 3/15/2023 3/15/2023 3/15/2023 11/14/2027 11/14/2047 11/14/2047 Annual coupon rate 4.00% 4.00% 7.50% 7.50% Yield to maturity 5.00% 5.00% 5.00% 5.00% Redemption value (% of face value) 100 100 100 100 Coupon payments per year 1 2 1 2 Required: Note: Use cells A2 to E10 from the given information to complete this question. Using the information above, please calculate the flat (or quoted) price as well as days since last coupon, days in a coupon period, accrued interest, and finally the invoice price. All prices are expressed as percent of par. Flat price (% of par) Days since last coupon Days in coupon period Accrued interest (% of par) Invoice price (% of par) Bond A Bond B Bond C Bond D FComment on the attractiveness of the bonds in two ways: a) How does the yield compare to the benchmark? Market YTM: 3.62% YTM of bond: 3.72% b) How does the current price compare to the benchmark-yield implied price? Price: 100.875 Implied price: 100.923