Following information is related to the 7.50% Convertible bond of S Ltd. which is currently priced at 5300 per bond: Conversion Parity Price =…
CA Final · Advanced Financial Management · MTP · May 2025
Following information is related to the 7.50% Convertible bond of S Ltd. which is currently priced at 5300 per bond: Conversion Parity Price = 265Conversion Premium (Based on Market Price) = 10.41667%Percentage of Downside Risk based on Straight Value of Bond = 12.766% Required: (i) Calculate No. of shares on Conversion. (ii) Analyse Current Market Price Per Share of S Ltd. (iii) Assess the Straight Value of Bond. (iv) Based on straight value of bond computed above, determine the approximate required rate of return by an investor on similar category of bonds. Note: Use following Present Value Factors (PVFs) for various calculations: 1 2 3 4 5 PVF @ 8% 0.9259 0.8573 0.7938 0.7350 0.6806 PVF @ 10% 0.9091 0.8264 0.7513 0.6830 0.6209
Suggested Answer and Working Notes:
(i) No. of Shares on Conversion Conversion Parity Price = Bond Price / No. of Shares on Conversion 265 = 5300 / No. of Shares on Conversion No. of Shares on Conversion = 20 Shares (ii) Current Market Price Per Share of S Ltd. Conversion Premium = [(Conversion Parity Price - Market Price) / Market Price] × 100 10.41667% = [(265 - Market Price) / Market Price] × 100 0.1041667 = (265 - Market Price) / Market Price 0.1041667 × Market Price = 265 - Market Price 1.1041667 × Market Price = 265 Market Price = 265 / 1.1041667 = 240 (iii) Straight Value of Bond Percentage of Downside Risk = [(Market Price of Bond - Straight Value of Bond) / Straight Value of Bond] × 100 12.766 % = [(5300 - SV) / SV] × 100 0.12766 = (5300 - SV) / SV 0.12766 × SV = 5300 - SV 1.12766 × SV = 5300 Straight Value of Bond = 5300 / 1.12766 = 4700 (iv) Approximate required rate of return To determine the required return, we shall discount related cash flows as follows: Assuming the bond has a face value of 5000 (typical for convertible bonds if not specified, or derived from the straight value) and coupon rate of 7.50% (given in question), annual coupon payment = 7.50% of 5000 = 375. Assuming 5 years maturity for PVF table. PV@8% Year Cash Flow PVF PV 0 - 4700 1 - 4700 1 375 0.9259 347.21 2 375 0.8573 321.49 3 375 0.7938 297.68 4 375 0.7350 275.63 5 5375 (375+5000) 0.6806 3658.23 200.23 PV@10% Year Cash Flow PVF PV 0 - 4700 1 - 4700 1 375 0.9091 340.91 2 375 0.8264 309.90 3 375 0.7513 281.74 4 375 0.6830 256.13 5 5375 (375+5000) 0.6209 3337.34 - 173.99 Calculation of Required return using IRR = 8% + [200.23 / (200.23 + 173.99)] × 2% = 8% + [200.23 / 374.22] × 2% = 8% + 1.07% = 9.07%
Topics: Security Valuation
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