Your firm has a? risk-free investment opportunity with an initial investment of $ 160 comma 000 today and receive $ 175 comma 000 in one year. For what level of interest rates is this project? attractive? The project will be attractive when the interest rate is any positive value less than or equal to
Solution: | ||||
The project will be attractive when the interest rate is any positive value less than or equal | 10% | |||
Working Notes: | ||||
Since , project will be attractive only interest rate return will be equal or higher than the current rate earned. | ||||
C0 = Investment = $160,000 | ||||
FV=Future Value = $175,000 | ||||
r= compounded annually = r% = ?? | ||||
n = no. Of periods = 1 years | ||||
Using future value formula | ||||
FV= C0 x (1+r)^n | ||||
176,000 = 160,000 (1 + r%)^1 | ||||
(1+r%) =176,000/$160,000 | ||||
(1+r%) = 1.1 | ||||
r% = 1.1 - 1 | ||||
r/100 = 0.10 | ||||
r=0.10 x 100 | ||||
r= 10% | ||||
Please feel free to ask if anything about above solution in comment section of the question. |
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