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Lewis Corp. is thinking about opening a basketball camp in Texas. In order to st

ID: 2480764 • Letter: L

Question

Lewis Corp. is thinking about opening a basketball camp in Texas. In order to

start the camp, the company would need to purchase land and build eight basketball

courts and a dormitory-type sleeping and dining facility to house 110 basketball players.

Each year, the camp would be run for eight sessions of one week each. The company

would hire college basketball players as coaches. The camp attendees would be male and

female basketball players ages 12 to 18. Property values in Texas have enjoyed a steady

increase in value. It is expected that after using the facility for 20 years, Lewis can sell the

property for more than it was originally purchased for. The amounts shown on the next

page have been estimated.

Cost of land $200,000

Cost to build dorm and dining facility $350,000

Annual cash infl ows assuming 110 players and eight weeks $700,000

Annual cash outfl ows $570,000

Estimated useful life 20 years

Salvage value $700,000

Discount rate 12%

Instructions

(a) Calculate the net present value of the project.

(b) To gauge the sensitivity of the project to these estimates, assume that if only 90 campers

attend each week, annual cash infl ows will be $570,000 and annual cash outfl ows will

be $508,000. What is the net present value using these alternative estimates? Discuss

your fi ndings.

(c) Assuming the original facts, what is the net present value if the project is actually

riskier than fi rst assumed, and a 15% discount rate is more appropriate?

(d) Assume that during the fi rst fi ve years the annual net cash infl ows each year were only

$65,000. At the end of the fi fth year, the company is running low on cash, so management

decides to sell the property for $668,000. What was the actual internal rate of

return on the project? Explain how this return was possible given that the camp did

not appear to be successful.

(a) Original Estimates

Cash Flows

x

12% Discount

=

Present Value

Present value of net annual cash flows

x

=

Present value of salvage value

x

=

Capital investment

Net present value

               

Recommendation:

(b) Revised Estimates

Cash Flows

x

12% Discount

=

Present Value

Present value of net annual cash flows

x

=

Present value of salvage value

x

=

Capital investment

Net present value

Recommendation:

(c) 15% Discount @ Original Estimates

Cash Flows

x

15% Discount

=

Present Value

Present value of net annual cash flows

x

=

Present value of salvage value

x

=

Capital investment

Net present value

Recommendation:

(d) IRR 15% Factor

Cash Flows

x

15% Discount

=

Present Value

Present value of net annual cash flows

x

=

Present value of salvage value

x

=

Capital investment

Net present value

Recommendation:

(a) Original Estimates

Cash Flows

x

12% Discount

=

Present Value

Present value of net annual cash flows

x

=

Present value of salvage value

x

=

Capital investment

Net present value

Explanation / Answer

a) Net present value is calculated as under:

Camp should be started.

b)

Revised NPV will be as follows:

Camp should not be started.

c)

NPV when discount rate is 15%

(a) Original Estimates Cash Flows x 12% Discount = Present Value Present value of net annual cash flows 1,30,000 x 7.469 = 970970 Present value of salvage value 7,00,000 x 0.104 = 72800 Capital investment -5,50,000 1 -550000 Net present value 493770
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