NPV and IRR: Unequal Annual Net Cash InflowsPayback Period and NPV of Alternative Automobile PurchaseRandolph Inc. is considering the following three capital project proposals.

The company initially screens projects considering $(1)$ a payback period of $2\mathrm{.}5$ years or less and $(2)$ a positive net present value using a discount rate of $10\%.$

REQUIRED

a$.$ Compute the payback period for each proposal and determine whether each proposal passes the initially screening based on your results.

Note: Round your answer to two decimal places. Enter $1\mathrm{.}251$ as $1\mathrm{.}25$; enter $1\mathrm{.}255$ as $1\mathrm{.}26.$

b$.$ Compute the net present value for each proposal and determine whether each proposal passes the initially screening based on your results.

Note: Round your answer to the nearest dollar.

c$.$ Provide a recommendation on whether to invest in proposal A$,$ B$,$ or C based only on the company's screening considerations.

Proposal A Proposal B Proposal C

rate of return of each proposal, and assuming that the company must choose one of the projects to pursue.

Note: Round your answer to two decimal places. Enter $10\mathrm{.}251\%$ as $10\mathrm{.}25\%$; enter $10\mathrm{.}255\%$ as $10\mathrm{.}26\%.$

Wendy Li decided to purchase a new Honda Accord. Being concerned about environmental issues, she is leaning toward a Honda Accord Hybrid rather than the completely gasoline$-$powered LX model.

Nevertheless, she wants to determine if there is an economic justification for purchasing the Hybrid, which costs $$2,000$ more than the LX$.$ Based on a mix of city and highway driving, she predicts that

the average gas mileage of each car is $48$ MPG for the Hybrid and $30$ MPG for the LX$.$ Wendy also anticipates she will drive an average of $15,000$ miles per year and that gasoline will cost an average of

$$2\mathrm{.}50$ per gallon over the next four years. She also plans to replace whichever car she purchases at the end of four years when the resale values of the Hybrid and the LX are predicted to be $$12,500$

and $$9,000$ respectively.

Required

a$.$ Determine the payback period of the incremental investment associated with purchasing the Hybrid.

Note: Round your answers to two decimal places. For example, enter $8\mathrm{.}84$ for $8\mathrm{.}844$ and $8\mathrm{.}85$ for $8\mathrm{.}845.$

years

b$.$ Determine the net present value of the incremental investment associated with purchasing the Hybrid at a $8\%$ time value of money.

Use a negative sign with your answer, if appropriate. Round answer to the nearest whole number.

$

c$.$ Determine the cost of gasoline required for a payback period of two and a half years on the incremental investment.

Note: Round your answers to two decimal places. For example, enter $8\mathrm{.}84$ for $8\mathrm{.}844$ and $8\mathrm{.}85$ for $8\mathrm{.}845.$

Round answer to two decimal places.

Rocky Road Company is evaluating a capital expenditure proposal that has the following predicted cash flows.

REQUIRED

a$.$ Determine the payback period.

Note: Round your answer to two decimal places. Enter $1\mathrm{.}251$ as $1\mathrm{.}25$; enter $1\mathrm{.}255$ as $1\mathrm{.}26.$

years

b$.$ Using a discount rate of $12\%,$ determine the net present value of the investment proposal.

Note: Round your answer to the nearest dollar.

c$.$ Determine the proposal's internal rate of return.

Note: Round your answer to two decimal places. Enter $10\mathrm{.}251\%$ as $10\mathrm{.}25\%$; enter $10\mathrm{.}255\%$ as $10\mathrm{.}26\%.$