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Merritt Company Is Considering a New Project That Has a Cost

Question 23

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Merritt Company is considering a new project that has a cost of $1,000,000,and the CFO set up the following simple decision tree to show its three most likely scenarios.Merritt could arrange with its work force and suppliers to cease operations at the end of Year 1 should it choose to do so,but to obtain this abandonment option,Merritt would have to make a payment to those parties.How much is the option to abandon worth (in thousands) to Merritt? WACC=11.5% Dollars in Thousands t=10 Prob =25% Prob =50%$1,000 Prob =25% NPV this  Prob ×t=1t=2t=3 State  NPV $800.0$800.0$800.0$938.1$234.5$520.0$520.0$520.0$259.8$129.9$200.0$200.0200.0$1,484.5$371.1\begin{array}{l}\begin{array}{lll}\mathrm{WACC}=11.5 \%& \text { Dollars in Thousands }\\&t=10\\\hline \text { Prob }=25 \% & \\\text { Prob }=50 \% & -\$ 1,000 \\\text { Prob }=25 \%\end{array}\begin{array}{lll} \text { NPV this } &\text { Prob } \times\\t=1 & t=2 & t=3 & \text { State } & \text { NPV } \\\hline \$ 800.0 & \$ 800.0 & \$ 800.0 & \$ 938.1 & \$ 234.5 \\\$ 520.0 & \$ 520.0 & \$ 520.0 & \$ 259.8 & \$ 129.9 \\-\$ 200.0 & -\$ 200.0 & -200.0 & -\$ 1,484.5&-\$ 371.1\end{array}\end{array}

 Exp $6.7 NPV \begin{array}{r}\text { Exp }-\$ 6.7 \\\text { NPV }\end{array}


A) $68.8
B) $72.5
C) $76.3
D) $80.1

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