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 $$1,085,000.$ The estimated net cash flows from each project are as follows:

Net Cash Flow

Year

Office

Expansion

Server

$1$ $$285,000$ $$376,000$

$2285,000376,000$

$3285,000376,000$

$4285,000376,000$

$5285,000$

$6285,000$

The committee has selected a rate of $12\%$ for purposes of net present value analysis. It also estimates that the residual value at the end of each project's useful life is $$0,$ but at the end of the fourth year, the office expansion's residual value would be $$356,000.$

Present Value of $$1$ at Compound Interest

Year $6\%10\%12\%15\%20\%$

$10\mathrm{.}9430\mathrm{.}9090\mathrm{.}8930\mathrm{.}8700\mathrm{.}833$

$20\mathrm{.}8900\mathrm{.}8260\mathrm{.}7970\mathrm{.}7560\mathrm{.}694$

$30\mathrm{.}8400\mathrm{.}7510\mathrm{.}7120\mathrm{.}6580\mathrm{.}579$

$40\mathrm{.}7920\mathrm{.}6830\mathrm{.}6360\mathrm{.}5720\mathrm{.}482$

$50\mathrm{.}7470\mathrm{.}6210\mathrm{.}5670\mathrm{.}4970\mathrm{.}402$

$60\mathrm{.}7050\mathrm{.}5640\mathrm{.}5070\mathrm{.}4320\mathrm{.}335$

$70\mathrm{.}6650\mathrm{.}5130\mathrm{.}4520\mathrm{.}3760\mathrm{.}279$

$80\mathrm{.}6270\mathrm{.}4670\mathrm{.}4040\mathrm{.}3270\mathrm{.}233$

$90\mathrm{.}5920\mathrm{.}4240\mathrm{.}3610\mathrm{.}2840\mathrm{.}194$

$100\mathrm{.}5580\mathrm{.}3860\mathrm{.}3220\mathrm{.}2470\mathrm{.}162$

Present Value of an Annuity of $$1$ at Compound Interest

Year $6\%10\%12\%15\%20\%$

$10\mathrm{.}9430\mathrm{.}9090\mathrm{.}8930\mathrm{.}8700\mathrm{.}833$

$21\mathrm{.}8331\mathrm{.}7361\mathrm{.}6901\mathrm{.}6261\mathrm{.}528$

$32\mathrm{.}6732\mathrm{.}4872\mathrm{.}4022\mathrm{.}2832\mathrm{.}106$

$43\mathrm{.}4653\mathrm{.}1703\mathrm{.}0372\mathrm{.}8552\mathrm{.}589$

$54\mathrm{.}2123\mathrm{.}7913\mathrm{.}6053\mathrm{.}3532\mathrm{.}991$

$64\mathrm{.}9174\mathrm{.}3554\mathrm{.}1113\mathrm{.}7853\mathrm{.}326$

$75\mathrm{.}5824\mathrm{.}8684\mathrm{.}5644\mathrm{.}1603\mathrm{.}605$

$86\mathrm{.}2105\mathrm{.}3354\mathrm{.}9684\mathrm{.}4873\mathrm{.}837$

$96\mathrm{.}8025\mathrm{.}7595\mathrm{.}3284\mathrm{.}7724\mathrm{.}031$

$107\mathrm{.}3606\mathrm{.}1455\mathrm{.}6505\mathrm{.}0194\mathrm{.}192$

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 Expansion Server Upgrade

Present value of annual net cash flows $fill in the blank $1$

$fill in the blank $2$

Less amount to be invested $fill in the blank $3$

$1,085,000$

$fill in the blank $4$

$1,085,000$

Net present value $fill in the blank $5$

$fill in the blank $6$

$2.$ 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 $8$

$1,142,288$

Less amount to be invested $fill in the blank $9$

$1,085,000$

$fill in the blank $10$

$1,085,000$

Net present value $fill in the blank $11$

$fill in the blank $12$

$57,288$

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

server upgrade

has a higher net present value and would be a superior investmentAlternative Capital Investments

Net Cash Flow

Present Value of $$1$ at Compound Interest

Present Value of an Annuity of $$1$ at Compound Interest

Required:

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

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.

The net present value of the two projects over equal lives indicates that the server upqrade

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