Question

In: Accounting

Salarian Company is considering two capital expenditures. Relevant data for the projects are as follows: Project...

Salarian Company is considering two capital expenditures. Relevant data for the projects are as follows:
Project A B
Initial investment $215,545 $230,821
Annual income $41,400 $40,080
Life of project 7 years 9 years
Salvage value $0 $0

Salarian Company uses the straight-line method to depreciate its assets.

(a)

Calculate the internal rate of return for each project. (For calculation purposes, use 4 decimal places as displayed in the factor table provided, e.g. 1.2512. Round answers to 0 decimal places, e.g. 15%.)

Click here to view PV table.
Internal rate of return
Project A %
Project B %

Solutions

Expert Solution

Year Cash Flow Project A PV Factor @ PV Factor @ Present vaue Project A) at PV Factor Present vaueProject A) at PV Factor Cash Flow Project B PV Factor @ PV Factor @ Present vaue at Project B PV Factor Present vaue Project B) at PV Factor
6% 12% 0.06 0.06 5% 12% 0.05131 0.05131
0 -215545 1 1 -215545 -215545 -230821 1 1 -230821 -230821
1 41400 0.9434 0.8929          39,057           36,964 40080 0.9512 0.8929          38,124           35,786
2 41400 0.8900 0.7972          36,846           33,004 40080 0.9048 0.7972          36,263           31,952
3 41400 0.8396 0.7118          34,760           29,468 40080 0.8606 0.7118          34,493           28,528
4 41400 0.7921 0.6355          32,793           26,310 40080 0.8186 0.6355          32,810           25,472
5 41400 0.7473 0.5674          30,936           23,491 40080 0.7787 0.5674          31,209           22,742
6 41400 0.7050 0.5066          29,185           20,975 40080 0.7407 0.5066          29,685           20,306
7 41400 0.6651 0.4523          27,533           18,727 40080 0.7045 0.4523          28,237           18,130
8 40080 0.6701 0.4039          26,858           16,188
9 40080 0.6374 0.3606          25,548           14,453
NPV          15,566         (26,605)          52,406         (17,265)
IRR = Lower Discount Rate + [Lower Rate NPV / (Lower Rate NPV - Higher Rate NPV)] * (Higher Discount Rate - Lower Discount Rate)
By putting above values in the above formula we get
Internal rate of return
Project A 8 %
Project B 10 %

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