The sum of the present value of 1 paid at the end of n periods and 1 paid at the end of 2n periods is 1. Find (1 i) 2n

Step-by-step explanation:

Using Present Value formula, we have that:

The present value at end of n period is

The present value at end of 2n period is

And

So, we have:

Substitute values for PV1 and PV2

Solving for:

This can be expressed as

Let

So, we have:

Equate to 0

Using quadratic formula:

Where A=1; B =1 and C = -1

Recall that:

So, we have:

Invert both sides

Square both sides

1. 22

2. 1

3. 7

4. 18

step-by-step explanation

e2020 got it right

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.