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Mathematics Clinic => Grade 11 and 12 Mathematics => Topic started by: vicky on Jun 7, 2019

Title: A special chemical development project requires an immediate outlay of $110 000 and $50 000 at the ...
Post by: vicky on Jun 7, 2019

Question 1

A new venture that requires outlays of $127 000 for each of the first two years will yield net returns of $85 000 in each year for years 3 to 6 and $70 000 for each of the following four years. A residual value of $130 000 can be recovered at the end of the last income period. Should the venture be undertaken if a yield of 11.56% is required?

Question 2

A special chemical development project requires an immediate outlay of $110 000 and $50 000 at the end of each year for 3 years. Net returns are nil for the first 3 years and $60 000 per year thereafter for fourteen years. What is the net present value of the project at 17%?
Title: A special chemical development project requires an immediate outlay of $110 000 and $50 000 at the ...
Post by: jazzlynnnnn on Jun 7, 2019

Answer 1

Outlays:
PVOUT = 127 000 + 127 000 - 130 000 = 127 000 + 113 840.09 - 43 536.98
= $197 303
Inflows:
PVIN = 85000 (1.1156)-2 + 70000 (1.1156)-6
= 209 379.10 + 111 321.34 = $320 700

NPV = 320 700 - 197 303 = $123 397  
Since NPV > 0, the rate of return on the venture is greater than 11.56%. The venture should be undertaken.

Answer 2

Inflows: PMT = 60 000; P/Y = C/Y = 1; I/Y = 17%; n = 14(1) = 14
PVIN = 60000(1.17)-3 = $195 901
Outlays: PMT = 50 000; n = 3(1)
PVOUT = 110 000 + 50000 = 110 000 + 110 479.2481 = $220 479
NPV = 195 901 - 220 479 = -$24 578
The net present value of the project at 17% is -$24 578.
Title: A special chemical development project requires an immediate outlay of $110 000 and $50 000 at the ...
Post by: vicky on Jun 7, 2019
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Title: A special chemical development project requires an immediate outlay of $110 000 and $50 000 at the ...
Post by: jazzlynnnnn on Jun 7, 2019
You're welcome