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Allied Biscuit Co. has to choose between two mutually exclusive projects. If it

ID: 2765538 • Letter: A

Question

Allied Biscuit Co. has to choose between two mutually exclusive projects. If it chooses project A, Allied Biscuit Co. will have the opportunity to make a similar investment in three years. However, if it chooses project B, it will not have the opportunity to make a second investment. The following table lists the cash flows for these projects. If the firm uses the replacement chain (common life) approach, what will be the difference between the net present value (NPV) of project A and project B, assuming that bothe projects have a weighted average cost of capital of 13%? $12,140 $17,343 $19,077 $10,406 $13,007 Allied Biscuit Co. is considefined theg a five-year project that has a weighted average cost of capital of 13% and a NPV of $30,450. Allied Biscuit Co. can replicate this project indefinitely. What is the equivalent annual annuity (Eas) for this project? $7,358 $9,956 $8,657 $10,821 $8,224

Explanation / Answer

Eqivalent annual annuity EAA=NPV/Annuity factor for 5 years @13%=$30,450/3.5172=$8,657

Annuity factor for 5 years @13%=1/(1.13)+1/(1.13)2................+1/(1.13)5=3.5172

NPV-Project A Year Cash flow PV@13% PV 0               -12,500              1.0000     -12,500 1                   8,000              0.8850         7,080 2                 14,000              0.7831      10,964 3                 13,000              0.6931         9,010      14,553 NPV-Projecte B Year Cash flow PV@13% PV 0               -45,000              1.0000     -45,000 1                   9,000              0.8850         7,965 2                 16,000              0.7831      12,530 3                 15,000              0.6931      10,396 4                 14,000              0.6133         8,586 5                 13,000              0.5428         7,056 6                 12,000              0.4803         5,764         7,297 Difference in NPA of Project A and Project B         7,256
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