a. Compute the internal rate of return for each investment. Use the present value of an annuity of $1 table appearing in this chapter (Exhibit 2).
b. Provide a memo to management, with a recommendation.
Answer:
a. Delivery Truck
Cash received from additional delivery (95,000 bags × $0.45)……………… $42,750
Cash used for operating expenses (24,000 miles × $1.35)…………………… 32,400
Net cash flow for delivery truck…………………………………………………… $10,350
Present Value Factor for an Annuity
of $1 for 7 Periods =
=
Amount to Be Invested
Annual Net Cash Flow
$43,056
$10,350
= 4.160
Internal Rate of Return = 15% (from text Exhibit 2 for 7 periods)
Bagging Machine
Direct labor savings (3 hrs./day × $18/hr. × 250 days/yr.)……………… $13,500
Present Value Factor for an Annuity
of $1 for 7 Periods =
=
Amount to Be Invested
Annual Net Cash Flow
$61,614
$13,500
= 4.564
Internal Rate of Return = 12% (from text Exhibit 2 for 7 periods)
b. To: Management
Re: Investment Recommendation
An internal rate of return analysis was performed for the delivery truck and
bagging machine investments. The internal rate of return for the bagging
machine is 12%, while the delivery truck is 15% (detailed analysis available).
The bagging machine fails to exceed our minimum rate of return requirement of
13%. In addition, there do not appear to be any qualitative considerations that
would favor the bagging machine. Therefore, the recommendation is to invest in
the delivery truck.
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