Chapter 21, Problem 15QAP

Consider an asset S with price function S = 2+2t S(t) = S=8-t for tЄ [0,2], for tЄ [2,4], St² 8t+20 for tЄ [4,6]. (a) Sketch the graph of S(t). - (b) Calculate the continuous arithmetic average of S over the interval 0 ≤ t ≤ 6. (c) Calculate the discrete arithmetic and discrete geometric average of S, where the discrete sampling points are take at times t = t; = ist for i = 0, 1, 2,...6 with St = 1. (d) What is the payoff of a European-style discrete geometric average rate call option which expires at t = T = 6 with E = 4.2? (e) What is the payoff of a European-style continuous arithmetic average strike put which expires at t = T = 6? (f) Consider a stop-loss option with λ = 5/6. At what time will this option be exercised? What will be the payoff?

For UK Vodaphone,1(a)collect data from uk Vodaphone data annual report and Input data to all tables and each box individually with bellow law. Explain with 4 points: (a) explain the ratios (b)comment on the number in the table above. (c) Explain the reason why. (d)What do you think?). Within 1600 word Law: FIM Part I PDF Generative summary Gross margin Net margin Current ratio Cash AŞİR Debt equity ratio Debt capital ratio to to Asset turnover **Al Assistant I 20 Comment Highlight Underline Strikethr... Draw More to... 2020 2021 2022 2023 2024 2020 2021 2022 2023 2024 2020 2021 2022 2023 2024 Fixed asset turnover 1. (b) A critical assessment of the firm's working capital management over the same period. Again, you are advised to include graphical illustrate to support your answer. within 600 word 2020 2021 2022 2023 2024 Inventory days Inventory turnover Sales Profit Dixiend 2020 2021 2022 2023 2024 2020 2021 2022 2023 2024

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Consider a Russian option with value function V(S, J) in the case where there are continuous dividends paid on the underlying asset S at rate D. Define the variable J for this option. A similarity reduction of the form W(n) = V/J with n S/J leads to 110²² W +(r− D)nW' rW = 0, which must be solved subject to - W(1) W'(1) = 0, W(no) = 1, W'(no) = 0, where n = ŋo is the optimal exercise boundary in similarity coordinates. The current value of the underlying is S = 3. What is the current value of the Russian option assuming that σ = 0.3, r = 0.1 and D = 0.05? Present your results to a minimum of 4 decimal places.

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Consider a Stop-loss option with value function V(S, J) in the case where there are continuous dividends paid at rate D. A similarity reduction of the form W(n) =V/J with n = S/J leads to ¹o²³n²W" + (r = D)nW' − rW = 0, which must be solved subject to - W (1) W'(1)=0 and W(A) = X. - The current value of the underlying is S = 1. What is the current value of the Stop-loss option assuming What is the value of a Stop-loss option with r = 0.25, σ = 0.4, D = 0.2 and λ = 0.9. Present your results to a minimum of 4 decimal places.

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