What is the value of

[[math]] \left(1+\frac{i^{(m)}}{m}\right)(1-d)^{1 / m} ? [[/math]]

• [[math]](1+i)^{2 / m}[[/math]]
• [[math]]\frac{i^{(m)} d^{(m)}}{m}[[/math]]
• [[math]]1-\frac{i^{(m)} d}{m}[[/math]]
• [[math]]\left(1-\frac{d^{(m)}}{m}\right)^2[[/math]]
• [[math]]1 [[/math]]

References

Hlynka, Myron. "University of Windsor Old Tests 62-392 Theory of Interest". web2.uwindsor.ca. Retrieved November 23, 2023.

Solution: E

Let A be the answer. Then

[[math]] A^m=\left(1+\frac{i^{(m)}}{m}\right)^m(1-d)=(1+i)(1-d)=(1+i) v=1 . [[/math]]

So [math]\mathrm{A}=1[/math].

References

Hlynka, Myron. "University of Windsor Old Tests 62-392 Theory of Interest". web2.uwindsor.ca. Retrieved November 23, 2023.