The following information is available with respect of AK Ltd. Year AK Limited Market Return on Govt. Bonds Average Share Price (₹) DPS (₹) Average…
CA Final · Advanced Financial Management · RTP · May 2026
The following information is available with respect of AK Ltd. Year AK Limited Market Return on Govt. Bonds Average Share Price (₹) DPS (₹) Average Index Dividend Yield (%) 2022 242 20 1812 4 6 2023 279 25 1950 5 5 2024 305 30 2258 6 4 2025 322 35 2220 7 5 Compute Beta Value of the company as at the end of 2025. What is your observation? Note: Round off all calculations upto 2 decimal points.
Suggested Answer and Working Notes:
(a) Computation of Beta Value Calculation of Returns Returns = (D₁ +(P1-Po)) / Po × 100 Year Returns 2022-2023 (25+(279-242)) / 242 × 100 = 25.62% 2003-2004 (30+(305-279)) / 279 × 100 = 20.07% 2004-2005 (35+(322-305)) / 305 × 100 = 17.05% Calculation of Returns from market Index Year % of Index Appreciation Dividend Yield % Total Return % 2022-2023 (1950-1812) / 1812 × 100 = 7.62% 5% 12.62% 2023-2024 (2258-1950) / 1950 × 100 = 15.79% 6% 21.79% 2024-2025 (2220-2258) / 2258 × 100 = (-)1.68% 7% 5.32% Computation of Beta Year X Y XY Y² 2022-2023 25.62 12.62 323.32 159.26 2023-2024 20.07 21.79 437.33 474.80 2024-2025 17.05 5.32 90.71 28.30 ΣX = 62.74 ΣY = 39.73 ΣXY = 851.36 ΣY² = 662.36 X = 62.74 / 3 = 20.91, Y = 39.73 / 3 = 13.24 β = (ΣXY - nXY) / (ΣY² - n(Y)²) = (851.36 - 3(20.91)(13.24)) / (662.36 - 3(13.24)²) = (851.36 - 830.55) / (662.36 - 525.89) = 20.81 / 136.47 = 0.15 (b) Observation: Based on the beta value of the company and the analysis of returns, it can be concluded that changes in the return on share of AK Ltd. are less affected by changes in market returns.
Topics: Portfolio Management
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