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Figure 14-11
Present Value of an Annuity of $1 in Arrears

Question 128

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Figure 14-11
Present value of an annuity of $1 in arrears  Periods 4%6%8%10%12%14%10.9620.9430.9260.9090.8930.87721.8861.8331.7831.7361.6901.64732.7752.6732.5772.4872.4022.32243.6303.4653.3123.1703.0372.91454.4524.2123.9933.7913.6054.43365.2424.9174.6234.3554.1113.88976.0025.5825.2064.8684.5644.28886.7336.2105.7475.3354.9684.63997.4356.8026.2475.7595.3284.946108.1117.3606.7106.1455.6505.216\begin{array}{|c|l|l|l|l|l|l|}\hline \text { Periods } & 4 \% & 6 \% & 8 \% & 10 \% & 12 \% & 14 \% \\\hline 1 & 0.962 & 0.943 & 0.926 & 0.909 & 0.893 & 0.877 \\\hline 2 & 1.886 & 1.833 & 1.783 & 1.736 & 1.690 & 1.647 \\\hline 3 & 2.775 & 2.673 & 2.577 & 2.487 & 2.402 & 2.322 \\\hline 4 & 3.630 & 3.465 & 3.312 & 3.170 & 3.037 & 2.914 \\\hline 5 & 4.452 & 4.212 & 3.993 & 3.791 & 3.605 & 4.433 \\\hline 6 & 5.242 & 4.917 & 4.623 & 4.355 & 4.111 & 3.889 \\\hline 7 & 6.002 & 5.582 & 5.206 & 4.868 & 4.564 & 4.288 \\\hline 8 & 6.733 & 6.210 & 5.747 & 5.335 & 4.968 & 4.639 \\\hline 9 & 7.435 & 6.802 & 6.247 & 5.759 & 5.328 & 4.946 \\\hline 10 & 8.111 & 7.360 & 6.710 & 6.145 & 5.650 & 5.216 \\\hline\end{array}
-Refer to Figure 14-11.Waterfall Country Club Company is considering two projects.  Golf Course  Clubhouse  Ungrade  Ungrade  Initial investment $500,000$100,000 Annual cash flows $88,500$34,320 Life of the project 10 years 4 years  Depreciation per year $50,000$25,000\begin{array}{lrr}&\text { Golf Course } & \text { Clubhouse } \\&\text { Ungrade } & \text { Ungrade }\\\text { Initial investment } & \$ 500,000 & \$ 100,000 \\\text { Annual cash flows } & \$ 88,500 & \$ 34,320 \\\text { Life of the project } & 10 \text { years } & 4 \text { years } \\\text { Depreciation per year } & \$ 50,000 & \$ 25,000\end{array} Waterfall requires a minimum rate of return of 8%. A. What is the accounting rate of return for each project?
B. What is the net present value for each project?
C. What is the internal rate of return for each project?
D. Which project should be chosen? Explain your reasoning.

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