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A town’s recreation department is trying to decide how to use a piece of land. One...

A town’s recreation department is trying to decide how to use a piece of land. One option is to put up basketball courts with an expected life of eight years. Another is to install a swimming pool with an expected life of 24 years. The basketball courts would cost $180,000 to construct and yield net benefits of $40,000 at the end of each of the eight years. The swimming pool would cost $2.25 million to construct and yield net benefits of $170,000 at the end of each of the 24 years. Each project is assumed to have zero salvage value at the end of its life. Assume a real discount rate of 5 percent.

1. Use the roll-over method to calculate which project offers larger net benefits. Show your calculations and briefly explain the approach.

2. Use equivalent annual (net) benefit to calculate which project offers larger net benefits. Show you calculation and briefly explain the approach

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ANSWER Since the projects have unequal lives, it is better to compare the equated annual net worth rather than comparing theSwimming Pool Year Cashflows PV Factor@ 5% Present Value 2250000 2250000.00 170000 0.952380952 161904.76 170000 0.907029478 1170000 0.863837599 146852.39 170000 0.822702475 139959.42 170000 0.783526166 133199.45 170000 0.746215397 12685662 170000 0.721 170000 0.358942365 61020.20 170000 0.341849871 58114.48 23 170000 0.325571306 55347.12 24 170000 0.31006791 52711.54 Net P

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