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

question 143

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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.


Definitions:

Work in Process Inventory

Items in a manufacturing process that are partially completed but not yet finished goods.

Raw Materials Used

The quantity of basic materials and components consumed in the production process to manufacture goods.

Finished Goods Inventory

Inventory of finished goods awaiting sale but not yet purchased by customers.

Cost of Goods Sold

The direct costs attributable to the production of the goods sold in a company, including material and labor costs.

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