Perpetuity and Growth Rate Analysis

The video tutorial explains a perpetuity problem where payments are constant for the first five years and then increase by a percentage from year six onwards. The tutorial covers setting up the perpetuity equation, calculating the present value, and finding the common ratio. It concludes with solving for the growth rate percentage, k, using the given present value and interest rate.

What is the initial constant payment amount for the first five years in the problem?

• 20

• 5

• 15

• 10

From which year do the payments start to increase by a percentage k?

• Year 7

• Year 6

• Year 5

• Year 4

How is the growth rate simplified in the problem?

• 1 + 0.001k

• 1 + 0.1k

• 1 + 0.02k

• 1 + 0.01k

What is the present value of the perpetuity given in the problem?

• $150.00

• $167.50

• $200.00

• $175.00

What is the annual effective interest rate used in the problem?

• 8.5%

• 9.0%

• 9.2%

• 10.0%

Which formula is used to calculate the perpetuity in the problem?

• First term divided by first omitted term over one plus common ratio

• First term plus first omitted term over one plus common ratio

• First term minus first omitted term over one minus common ratio

• First term times first omitted term over one minus common ratio

At what time is the comparison date chosen in the problem?

• Time 6

• Time 5

• Time 4

• Time 3

What is the first term in the equation setup for constant payments?

• 10 to the v4

• 10 to the v5

• 10 to the v6

• 10 to the v7

What is the common ratio found in the problem?

• 1 + 0.01k

• 1 + 0.02k

• 1 + 0.03k

• 1 + 0.04k

What is the calculated value of k in the problem?

• 5

• 4

• 3

• 2