Question

Lima Inc. can choose between two mutually exclusive projects. At the moment the company has an outstanding zero-coupon bond with face value $2,300,000 and maturity one year. Assume that all agents are risk neutral, that debt holders are conpetitive and that the risk-free rate is 3.00%. The project chosen will be completed in one year, and after that the company will terminate its operations and close. The economic conditions in the upcoming year can be either good or bad. The first project has a low payoff volatility, and the second has a high payoff volatilitv. The pavoff characteristics are reported in the table below: Situation Bad GOOd ProbabilityLow Volatility Project Payoff 0.6 0.4 2,500,000 3,750,000 High Volatility Project Payoff 1,400,000 5,250,000 (a) What is the value of the firm at time 0 if the high volatility project is undertaken? What is the value of the firm at time 0 if the low volatility project is undertaken? Which project maximizes the value of the firm at time 0? VH 2, 854, 368.93; VL2, 912, 621.36 (b) What is the value of the firms equity at time 0 if the high volatility project is undertaken? What is the value of the firms equity at time 0 if the low volatility project is undertaken? Which project will be chosen by the management of Lima, if they work in the interest of the equity holders? EH 1, 145, 631.07; EL 679 61 1.651 (c) What is the market value of the zero-coupon bond at time 0? 1,708,737.86

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projects (Autosaved) (Autosaved) (Autosaved) Microsoft Excel Home Insert Page Layout Formls Data Review View Add-Ins Cut Σ AutoSum .11.A. A--|- ー E ゴText 9- Wrap Text General calibn Copy Conditional Format Cell Insert Delete Format Formatting as Table Styles2 Clear Paste Format Painter B l U. -...Δ.-=-- Merge & Center. $ , % , , , Clipboard FE124 EW 115 PART 1 Font Styles Edting Formula Bar EX EY EZ FA FB I113 FD LOW VOLATILITY PROJECT PAY OFF PROBABILITY EBIT PAYOFF TO BOND HOLDERS PAYOFF TO STOCK HOLDERS BAD GOOD 116 0.4 2500000 2300000 200000 3750000 2300000 AS BOND HOLDERS ARE PAID FIRST, 1450000 THE AMOUNT LEFT WILL BE PAID TO STOCK HOLDERS 118 119 120 121 122 123 124 125 PART 2 HIGH VOLATILITY PROJECT PAY OFF BAD 126 127 128 129 130 131 132 133 11 1 トト | IRRnpv RATION PBP ARR ( external rate / MIRR NPV 1RR VALUE OF EQUITY VALUE OF DEBT [0.60 (200000)+0.40 (1450000)1/1.03 [0.80 (2300000)0.20 (2300000)1/1.03- 679611.65 2233009.71 2912621.36 VALUE OF FIRM (AT t-0) GOOD PROBABILITY EBIT PAYOFF TO BOND HOLDERS PAYOFF TO STOCK HOLDERS 1400000 1400000 4D 0.4 5250000 2300000 2950000 0 VALUE OF EQUITY VALUE OF DEBT- VALUE OF FIRM (AT t 0) [0.60 (0)+0.40 (2950000)1/1.03 [0.60 (1400000)0.40 (2300000)1/1.03 1145631.07 1708737.86 2854368.93 REPLACEMENT S - HPR GMAM EAC MACRS RATIOS CASH BUDGETwacc BOND EPS EBIT REPLACEMENT erences: CO36 20-10-2018

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