In: Accounting
Balloons By Sunset (BBS) is considering the purchase of two new
hot air balloons so that it can expand its desert sunset tours.
Various information about the proposed investment
follows:
Initial investment (for two hot air balloons) | $ | 433,000 | |||||
Useful life | 8 | years | |||||
Salvage value | $ | 57,000 | |||||
Annual net income generated | 36,805 | ||||||
BBS’s cost of capital | 11 | % | |||||
Assume straight line depreciation method is used.
Required:
Help BBS evaluate this project by calculating each of the
following:
1. Accounting rate of return. (Round your
answer to 1 decimal place.)
2. Payback period. (Round your answer to 2
decimal places.)
3. Net present value (NPV). (Future Value of $1,
Present Value of $1, Future Value Annuity of $1, Present Value
Annuity of $1.) (Use appropriate factor(s) from the tables
provided. Do not round intermediate calculations. Negative amount
should be indicated by a minus sign. Round the final answer to
nearest whole dollar.)
4. Recalculate the NPV assuming BBS's cost of
capital is 14 percent. (Future Value of $1, Present Value of $1,
Future Value Annuity of $1, Present Value Annuity of $1.)
(Use appropriate factor(s) from the tables provided. Do not
round intermediate calculations. Negative amount should be
indicated by a minus sign. Round the final answer to nearest whole
dollar.)
1 | Accounting Rate of Return | = | -2.4% | |||
2 | Payback Period | = | 11.76 | years | ||
3 | Net Present Value | = | $ -2,18,865 | |||
4 | Net Present Value | = | $ -2,42,281 | |||
Workings: | ||||||
1 | Annual Depreciation | = | (Initial Investment - Scrap Value) / Useful life | |||
= | ($4,33,000 - $57,000) / 8 years | |||||
= | $ 47,000 | |||||
Average Annual Income | = | Annual Net Income - depreciation | ||||
= | $36,805 - $47,000 | |||||
= | $ -10,195 | |||||
Accounting Rate of Return | = | Average Annual Income / Initial Investment | ||||
= | $ -10,195 / $ 4,33,000 | |||||
= | -2.4% | |||||
2 | Payback Period | = | Initial Investments / annual Cash flows | |||
= | $ 4,33,000 / $36,805 | |||||
= | 11.76 | years | ||||
3 | Net Present Value | = | $ -2,18,865 | |||
Workings: | ||||||
Years | Cash Flow | Factor @ 11% | Present Value | |||
Initial investment | 0 | $ -4,33,000 | 1 | $ -4,33,000 | ||
Annual cash inflows | 1 - 8 | $ 36,805 | 5.1461 | $ 1,89,402 | ||
Salvage Value | 8 | $ 57,000 | 0.4339 | $ 24,732 | ||
Net Present Value | $ -2,18,865 | |||||
4 | Net Present Value | = | $ -2,42,281 | |||
Workings: | ||||||
Years | Cash Flow | Factor @ 14% | Present Value | |||
Initial investment | 0 | $ -4,33,000 | 1 | $ -4,33,000 | ||
Annual cash inflows | 1 - 8 | $ 36,805 | 4.6389 | $ 1,70,735 | ||
Salvage Value | 8 | $ 57,000 | 0.3506 | $ 19,984 | ||
Net Present Value | $ -2,42,281 |