Fixed Income Risk: Bond Convexity A fixed-income analyst is…
Questions
Fixed Incоme Risk: Bоnd Cоnvexity A fixed-income аnаlyst is reviewing а semiannual coupon bond held in an institutional portfolio. The portfolio manager would like to estimate the bond's convexity, which measures the curvature of the bond price-yield relationship and improves duration-based price change estimates. Bond Input Value Maturity [n] years Annual Coupon Rate [coupon]% Yield to Maturity [ytm]% Face Value $1,000 Coupon Frequency Semiannual Question: What is the bond's convexity? Assume semiannual coupon payments. Round your answer to the nearest two decimals.
Integrаtiоn-Differentiаtiоn-Plоtting of user defined polynomiаls [140 points total] Write a MATLAB main program/script that will first display a message about the nature of the program, e.g. “This program will provide integration, differentiation, and plotting for user defined polynomials in symbolic or numeric format.” Then it will ask what format the user is going to enter the information: numeric/polynomial or symbolic/function (menu NOT required but do handle invalid input). If numeric is chosen then a menu with the following choices shall appear (YOU MUST CHANGE THE WORDING OF THE MENU): Enter coefficients of a polynomial [This part should first ask for the degree, make sure it's a positive number, then the coefficients.] Differentiate the polynomial and display in symbolic form. Plot the derivative of the polynomial [ask the user for the x-axis limits and titles] Exit Important NOTES: You are NOT allowed to use symbolic math for part 1 (above) nor ask the user to enter the polynomial in symbolic format. You may use a symbolic form for display. You are NOT allowed to ask the user to enter the coefficients of the polynomial as an array with one input. If symbolic is chosen then a menu with the following choices shall appear (YOU MUST CHANGE THE WORDING OF THE MENU): 1. Enter two functions in symbolic format. 2. Integrate each function and display results. 3. Differentiate each function and display results. 4. Plot both functions, their derivatives and integrals [use subplots/tiledlayout] 5. Exit Each selection should call a separate function to complete the task (minimum of 7 programmer-built functions related to each of 7 menu choices) and the results of each task should be printed to the command window with appropriate text for the user. Make sure: (i) To use Good Programming Style (include appropriate comments at top and throughout program and after function header). Comments in block at the top should include file name, your name, date, short description, integrity statement with initials. Comments after function header line should describe function task, input parameters, and returned output variables. (ii) To handle menu selection error as well as numerical input error (degree should be a positive number) - allow user to correct error, do not exit program (iii) To include an adequate number of sample runs - see below (iv) To upload your .m file to Gradescope in the separate Canvas dropbox in a single submission - include all functions in the same file as the main program Sample runs should be appended to the bottom of your program as comments; remember to include sample runs for invalid inputs. For the numeric sample run, use your own made up polynomial of degree three. For symbolic choose the option for two functions and use the following functions: x^3 + 3x^2 + 2x-1 and 5x^5. No need to upload plot figures or image files.