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Alternative Capital Investments

The investment committee of Sentry Insurance Co. is evaluating two projects, office expansion and upgrade to computer servers. The projects have different useful lives, but each requires an investment of $1,229,000. The estimated net cash flows from each project are as follows:

	Net Cash Flow
Year	Office Expansion				Server
1	$343,000				$453,000
2	343,000				453,000
3	343,000				453,000
4	343,000				453,000
5	343,000
6	343,000

The committee has selected a rate of 15% for purposes of net present value analysis. It also estimates that the residual value at the end of each project's useful life is $0, but at the end of the fourth year, the office expansion's residual value would be $429,000.

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

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	3.353	2.991
6	4.917	4.355	4.111	3.785	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

Required:

If required, use the minus sign to indicate a negative net present value.

1. For each project, compute the net present value. Use the present value of an annuity of $1 table above. Ignore the unequal lives of the projects. If required, round to the nearest dollar.

Office ExpansionServer Upgrade

2. For each project, compute the net present value, assuming that the office expansion is adjusted to a four-year life for purposes of analysis. Use the present value of $1 table above. If required, round to the nearest dollar.

	Office Expansion	Server Upgrade
Present value of net cash flow total	$fill in the blank 7	$fill in the blank 8
Less amount to be invested	$fill in the blank 9	$fill in the blank 10
Net present value	$fill in the blank 11	$fill in the blank 12

3. The net present value of the two projects over equal lives indicates that the

office expansionserver upgradeserver upgrade

has a higher net present value and would be a superior investment.

Alternative Capital Investments The estimated net cash flows from each project are as follows: Present Value of $1 at Compound Interest \begin{tabular}{cccccc} \hline Year & 6% & 10% & 12% & 15% & 20% \\ \hline 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 \end{tabular} \begin{tabular}{cccccc} Present Value of an Annuity of $1 & \multicolumn{4}{c}{ at Compound Interest } \\ \hline Year & 6% & 10% & 12% & 15% & 20% \\ \hline 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 & 3.353 & 2.991 \\ 6 & 4.917 & 4.355 & 4.111 & 3.785 & 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 \end{tabular} If required, use the minus sign to indicate a negative net present value