Average Rate of Return Method, Net Present Value Method, and Analysis

The capital investment committee of Ellis Transport and Storage Inc. is considering two investment projects. The estimated income from operations and net cash flows from each investment are as follows:

	Warehouse					Tracking Technology
Year	Income from Operations		Net Cash Flow			Income from Operations		Net Cash Flow
1	$50,400		$154,000			$106,000		$246,000
2	50,400		154,000			81,000		208,000
3	50,400		154,000			40,000		146,000
4	50,400		154,000			18,000		100,000
5	50,400		154,000			7,000		70,000
Total	$252,000		$770,000			$252,000		$770,000

Each project requires an investment of $480,000. Straight-line depreciation will be used, and no residual value is expected. The committee has selected a rate of 15% for purposes of the net present value analysis.

Present Value of $1 at Compound Interest
Year	6%	10%	12%	15%	20%
1	0.943	0.909	0.893	0.870	0.833
2	0.890	0.826	0.797	0.756	0.694
3	0.840	0.751	0.712	0.658	0.579
4	0.792	0.683	0.636	0.572	0.482
5	0.747	0.621	0.567	0.497	0.402
6	0.705	0.564	0.507	0.432	0.335
7	0.665	0.513	0.452	0.376	0.279
8	0.627	0.467	0.404	0.327	0.233
9	0.592	0.424	0.361	0.284	0.194
10	0.558	0.386	0.322	0.247	0.162

Required:

1a. Compute the average rate of return for each investment. If required, round your answer to one decimal place.

	Average Rate of Return
Warehouse	fill in the blank 1%
Tracking Technology	fill in the blank 2%

1b. Compute the net present value for each investment. Use the present value of $1 table above. If required, use the minus sign to indicate a negative net present value.

	Warehouse	Tracking Technology
Present value of net cash flow total	$fill in the blank 3	$fill in the blank 4
Less amount to be invested	$fill in the blank 5	$fill in the blank 6
Net present value	$fill in the blank 7	$fill in the blank 8

2. The warehouse has a net present value as tracking technology cash flows occur in time. Thus, if only one of the two projects can be accepted, the would be the more attractive.

Internal Rate of Return Method

The internal rate of return method is used by King Bros. Construction Co. in analyzing a capital expenditure proposal that involves an investment of $28,777 and annual net cash flows of $7,000 for each of the six years of its useful life.

Present Value of an Annuity of $1 at Compound Interest
Year	6%	10%	12%	15%	20%
1	0.943	0.909	0.893	0.870	0.833
2	1.833	1.736	1.690	1.626	1.528
3	2.673	2.487	2.402	2.283	2.106
4	3.465	3.170	3.037	2.855	2.589
5	4.212	3.791	3.605	3.352	2.991
6	4.917	4.355	4.111	3.784	3.326
7	5.582	4.868	4.564	4.160	3.605
8	6.210	5.335	4.968	4.487	3.837
9	6.802	5.759	5.328	4.772	4.031
10	7.360	6.145	5.650	5.019	4.192

a. Determine a present value factor for an annuity of $1 which can be used in determining the internal rate of return. If required, round your answer to three decimal places. fill in the blank 1

b. Using the factor determined in part (a) and the present value of an annuity of $1 table above, determine the internal rate of return for the proposal. fill in the blank 2 %