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A regional infrastructure building and maintenance contractor is trying to decide whether to buy a new compact horizontal directional drilling (HDD) machine now or wait to buy it 2 years from now (when a large pipeline contract will require the new equipment). The HDD machine will include an innovative pipe loader design and maneuverable undercarriage system. The cost of the system is $68,000 if purchased now or$81,000 if purchased 2 years from now. At a real MARR of 10% per year and an inflation rate of 5% per year, determine if the company should buy now or later (a) without any adjustment for inflation and (b) with inflation considered.

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A regional infrastructure building and maintenance contractor needs to decide whether to buy a new compact horizontal directional drilling (HDD) machine now or in 2 years:

(a) without any adjustment for inflation:

F=68,000(F/P,10%,2)=68,000×1.21=$82,280\begin{align*} F&=68,000(F/P,10\%,2)\\ &=68,000\times 1.21\\ &=\$82,280\\ \end{align*}

He should purchase it in 2 years for $81,000\$81,000

(b) with inflation considered

if=0.10+0.05+0.10×0.05=0.155×100=15.5%\begin{align*} i_{f}&=0.10+0.05+0.10\times0.05\\ &=0.155\times100=15.5\% \end{align*}

Now we can find future worth:

F=68,000(F/P,15.5%,2)=68,000×1.334=$90,712\begin{align*} F&=68,000(F/P,15.5\%,2)\\ &=68,000\times1.334\\ &=\$90,712\\ \end{align*}

A regional contractor should purchase HDD machine in 2 years for $82,280\$82,280

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