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HydroGen will issue a 30-year bond on 15 June 2021, paying coupon semi- annually at j2=2.8% p.a. Future payments of coupon and return of capital will depend on the viability of the business. You have studied the firm and believe there is a constant probability of default in each half-year period of 2% and that, if the firm defaults, no further payments will be forthcoming. a. [2 marks] Draw a detailed contingent cash flow diagram, from an in- vestor's perspective, that illustrates the payments of the bond over its 30 potential years. Assume a face value of $100. b. [2 marks] For a valuation date of 15 June 2021, write out the equation of value you would use to value the HydroGen bond. Simplify your mathematical expression for price as far as possible. No numerical solution is required; only algebra is required. HydroGen will issue a 30-year bond on 15 June 2021, paying coupon semi- annually at j2=2.8% p.a. Future payments of coupon and return of capital will depend on the viability of the business. You have studied the firm and believe there is a constant probability of default in each half-year period of 2% and that, if the firm defaults, no further payments will be forthcoming. a. [2 marks] Draw a detailed contingent cash flow diagram, from an in- vestor's perspective, that illustrates the payments of the bond over its 30 potential years. Assume a face value of $100. b. [2 marks] For a valuation date of 15 June 2021, write out the equation of value you would use to value the HydroGen bond. Simplify your mathematical expression for price as far as possible. No numerical solution is required; only algebra is required