Question

In: Accounting

Problem 9-29 Grouper Fashions needs to replace a beltloop attacher that currently costs the company $45,000...

Problem 9-29

Grouper Fashions needs to replace a beltloop attacher that currently costs the company $45,000 in annual cash operating costs. This machine is of no use to another company, but it could be sold as scrap for $2,220. Managers have identified a potential replacement machine, Euromat’s Model HD-435.

The HD-435 is priced at $47,547 and would cost Grouper Fashions $35,000 in annual cash operating costs. The machine has a useful life of 13 years, and it is not expected to have any salvage value at the end of that time.

Click here to view the factor table.

(a) Calculate the net present value of purchasing the HD-435, assuming Grouper Fashions uses a 16% discount rate. (For calculation purposes, use 4 decimal places as displayed in the factor table provided and round final answer to 0 decimal place, e.g. 58,971.)

Net present value $


(b) Calculate the internal rate of return on the HD-435.

Internal rate of return %


(c) Calculate the payback period of the HD-435. (Round answer to 4 decimal places, e.g. 15.2515.)

Payback period years


(d) Calculate the accounting rate of return on the HD-435. (Round answer to 2 decimal places, e.g. 11.25%.)

Accounting rate of return %


(e) Should Grouper Fashions purchase the HD-435?

Solutions

Expert Solution

Cost of New machine               47,547
Less: Salvage value of old machine                 2,220
Initial Investment               45,327
(a.) Net present value of purchasing the HD-435
Annual cash operating cost of old mahine               45,000
Less:Annual cash operating cost of new mahine               35,000
Annual Saving in operating cost               10,000
Year Annual Saving Present Value factor @16% Present Value
1               10,000                         0.862069        8,621
2               10,000                         0.743163        7,432
3               10,000                         0.640658        6,407
4               10,000                         0.552291        5,523
5               10,000                         0.476113        4,761
6               10,000                         0.410442        4,104
7               10,000                         0.353830        3,538
8               10,000                         0.305025        3,050
9               10,000                         0.262953        2,630
10               10,000                         0.226684        2,267
11               10,000                         0.195417        1,954
12               10,000                         0.168463        1,685
13               10,000                         0.145227        1,452
Total 130,000 53,423
Present value of saving in operating cost               53,423
Less: Initial Investment               45,327
Net Present Value                 8,096
(b.) Internal rate of return on the HD-435
At IRR, Net present value will 0.
At 20% , present value of saving in operating cost is 45,327, Hence NPV is 0 (45,327 - 45,327 )at 20%.
So, Internal rate of return is 20% .
Year Annual Saving Present Value factor @20% Present Value
1               10,000 0.833333        8,333
2               10,000 0.694444        6,944
3               10,000 0.578704        5,787
4               10,000 0.482253        4,823
5               10,000 0.401878        4,019
6               10,000 0.334898        3,349
7               10,000 0.279082        2,791
8               10,000 0.232568        2,326
9               10,000 0.193807        1,938
10               10,000 0.161506        1,615
11               10,000 0.134588        1,346
12               10,000 0.112157        1,122
13               10,000 0.093464           935
Total 130,000 45,327
(c.) Payback period of the HD-435

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