25 Minutes, Medium PROBLEM 26.4B
SAMBA
a.
(1)
(2)
3
Net
resent value, discounted at 10%:
Total
resent value of 10 annual net cash flows
$75,000 × 6.145
460,875$
Present value of salva
e value due in 10
ears
$10,000 × .386
3,860
Total
resent value 464,735$
Less: Amount to be invested 300,000
Net
resent value of
ro
osal 164,735$
(1)
(3) Net present value, discounted at 10%:
Total present value of 10 annual net cash flows ($70,000 × 6.145) 430,150$
Present value of salvage value due in 10 years ($40,000 × .386) 15,440
Total present value 445,590$
Less: Amount to be invested 310,000
Net present value of proposal 135,590$
b.
Note to instructor: The net present value calculation is the best of the three capital budgeting
models because it is based on cash flows and because it considers profitability and the time
value of money. Each of the other two simpler models ignores two of these factors.
Based upon the above analysis, Proposal A is the best investment of the two proposals
under consideration. Both proposals have acceptable payback periods (less than the useful
life of fixtures). However, the lower net present value and rate of return on investment of
Proposal B suggests rejection of this proposal. The positive net present value and
acceptable rate of return on investment (higher than management’s required 10%) of
Proposal A indicates that this option is the more profitable alternative.
Proposal B
Payback period:
$310,000 ÷ $70,000 = 4.4 years
($75,000 – $29,000) ÷ [($300,000 + $10,000) ÷ 2]
$46,000 ÷ $155,000 = 29.7%
Proposal A
Payback period:
$300,000 ÷ $75,000 = 4 years
Return on average investment: