An investment of $100,000 will begin returning $11,600 annually at the end of the second year...

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Finance

An investment of $100,000 will begin returning $11,600 annuallyat the end of the second year and it will continue at that rate for10 years. If there is no cash inflow in the first year, what is itspayback period?
A. 10.6 years
B. 9.9 years
C. 9.6 years
D. 9.2 years
E. 8.9 years


Simply Shoes, Inc. is evaluating an expansion that will cost $1million and is expected to generate the following cash flows: year1: – $350,000; year 2: +$450,000; year 3: +$675,000; and year 4:+$800,000.
What is the payback period?
A. 3.1 years
B. 3.3 years
C. 3.4 years
D. 3.7 years
E. 4.0 years

Ace Transport is considering the purchase of a new $140,000truck. If the company expects the cash inflows to be $35,000 afterthe first year, $52,000 after the second year, $64,000 after thethird year, and $48,000 after the fourth year, what is the NPV ifthe cost of capital is 8.5%?
A. $21,171
B. $32,139
C. $53,874
D. $107,458
E. $118,426

Answer & Explanation Solved by verified expert
4.0 Ratings (673 Votes)

1) Calculation of Payback period
Time Amount Cumulative
                                                                                      -         (1,00,000.00)     (1,00,000.00)
                                                                                 1.00                            -       (1,00,000.00)
                                                                                 2.00             11,600.00         (88,400.00)
                                                                                 3.00             11,600.00         (76,800.00)
                                                                                 4.00             11,600.00         (65,200.00)
                                                                                 5.00             11,600.00         (53,600.00)
                                                                                 6.00             11,600.00         (42,000.00)
                                                                                 7.00             11,600.00         (30,400.00)
                                                                                 8.00             11,600.00         (18,800.00)
                                                                                 9.00             11,600.00           (7,200.00)
                                                                               10.00             11,600.00             4,400.00
                                                                               11.00             11,600.00
PBP= 9+7200/11600
Payback period= 9.62 years
So correct answer is C) 9.6 years
2) Calculation of Payback period
Time Amount Cumulative
                                                                                      -      (10,00,000.00) (10,00,000.00)
                                                                                 1.00       (3,50,000.00) (13,50,000.00)
                                                                                 2.00         4,50,000.00     (9,00,000.00)
                                                                                 3.00         6,75,000.00     (2,25,000.00)
                                                                                 4.00         8,00,000.00       5,75,000.00
PBP= 3+225000/800000
Payback period= 3.28 years
So correct answer is B) 3.3 years
3) Statement showing NPV
Particulars Time PVf 8.5% Amount PV
Cashoutflow                            -                   1.0000                     (1,40,000.00)                     (1,40,000.00)
Cash Flows                       1.00                 0.9217                           35,000.00                           32,258.06
Cash Flows                       2.00                 0.8495                           52,000.00                           44,171.67
Cash Flows                       3.00                 0.7829                           64,000.00                           50,106.12
Cash Flows                       4.00                 0.7216                           48,000.00                           34,635.57
NPV                           21,171.42
So correct answer is A) $21171

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An investment of $100,000 will begin returning $11,600 annuallyat the end of the second year and it will continue at that rate for10 years. If there is no cash inflow in the first year, what is itspayback period?A. 10.6 yearsB. 9.9 yearsC. 9.6 yearsD. 9.2 yearsE. 8.9 yearsSimply Shoes, Inc. is evaluating an expansion that will cost $1million and is expected to generate the following cash flows: year1: – $350,000; year 2: +$450,000; year 3: +$675,000; and year 4:+$800,000.What is the payback period?A. 3.1 yearsB. 3.3 yearsC. 3.4 yearsD. 3.7 yearsE. 4.0 yearsAce Transport is considering the purchase of a new $140,000truck. If the company expects the cash inflows to be $35,000 afterthe first year, $52,000 after the second year, $64,000 after thethird year, and $48,000 after the fourth year, what is the NPV ifthe cost of capital is 8.5%?A. $21,171B. $32,139C. $53,874D. $107,458E. $118,426

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