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The Smith Pie Company is considering two mutually exclusive investments that wou

ID: 2716751 • Letter: T

Question

The Smith Pie Company is considering two mutually exclusive investments that would increase its capacity to make strawberry tarts. The firm uses a 12 percent cost of capital to evaluate potential investments. The two projects have the following costs and cash flows streams: Alternative A Year 0 $-30,000 1 $10,500 2 $10,500 3 $10,500 4 $10,500 Alternative B Year 0 $-30,000 1 $6,500 2 $6,500 3 $6,500 4 $6,500 5 $6,500 6 $6,500 7 $6,500 8 $6,500. Use the annual equivalent annual annuity method to solve.

Explanation / Answer

Discount rate 12% Alternative A Year 0 1 2 3 4 -30000 10500 10500 10500 10500 -30000 9375 8370.536 7473.693 6672.94 NPV 1892.168 Equivalent annual annuity 622.97 Alternative B Year 0 1 2 3 4 5 6 7 8 -30000 6500 6500 6500 6500 6500 6500 6500 6500 -30000 5803.571 5181.76 4626.572 4130.868 3688.275 3293.102 2940.27 2625.241 NPV 2289.658 Equivalent annual annuity 460.9 Alternative A is better Equivalent annual annuity is computed using FV=0, PV as NPV,,YIELD = 12%,N= PERIOD(4 or 8),coupon is the required answer

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