Consider the following timeline detailing a stream of cash flows: Date Cash flow 0 ? 1 OA. $249 OB. $497 OC. $596 OD. $795 $100 2 $100 3 $200 $200 If the current market rate of interest is 7%, then the present value (PV) of this stream of cash flows is closest to: ***

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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**Understanding Present Value of Cash Flows**

Consider the following timeline detailing a stream of cash flows:

- **Timeline Diagram:**
  - The timeline is linear, showing five points labeled from 0 to 4.
  - At each point along the timeline (except point 0), there is an associated cash flow, as follows:
    - At Date 1: $100
    - At Date 2: $100
    - At Date 3: $200
    - At Date 4: $200

- **Cash Flow Table:**
  - Date 0: ? (unknown initial cash flow)
  - Date 1: $100
  - Date 2: $100
  - Date 3: $200
  - Date 4: $200

If the current market rate of interest is 7%, then the present value (PV) of this stream of cash flows is closest to:

**Options:**
- A. $249
- B. $497
- C. $596
- D. $795

*Note: Calculating the present value involves discounting each future cash flow to its value today using the given interest rate and summing these values to find the total present value.*
Transcribed Image Text:**Understanding Present Value of Cash Flows** Consider the following timeline detailing a stream of cash flows: - **Timeline Diagram:** - The timeline is linear, showing five points labeled from 0 to 4. - At each point along the timeline (except point 0), there is an associated cash flow, as follows: - At Date 1: $100 - At Date 2: $100 - At Date 3: $200 - At Date 4: $200 - **Cash Flow Table:** - Date 0: ? (unknown initial cash flow) - Date 1: $100 - Date 2: $100 - Date 3: $200 - Date 4: $200 If the current market rate of interest is 7%, then the present value (PV) of this stream of cash flows is closest to: **Options:** - A. $249 - B. $497 - C. $596 - D. $795 *Note: Calculating the present value involves discounting each future cash flow to its value today using the given interest rate and summing these values to find the total present value.*
**Question Prompt:**

A tenant wants to lease a building for $48,000 per year. She signs a five-year rental agreement that states that she will pay $24,000 every six months for the next five years. Which of the following is the timeline for her rental payments, assuming she makes the first payment immediately?

**Options:**

**A.**

- Date (years): 0, 1, 2, 3, 4, 5
- Cash Flows (thousands): $24, $24, $24, $24, $24, $24

**B.**

- Date (years): 0, 1/2, 1, 1 1/2, 2, 2 1/2, 3, 3 1/2, 4, 4 1/2, 5
- Cash Flows (thousands): -$24, -$24, -$24, -$24, -$24, -$24, -$24, -$24, -$24, -$24, 0

**C.**

- Date (years): 0, 1, 2, 3, 4, 5
- Cash Flows (thousands): $48, $48, $48, $48, $48, $48

**D.**

- Date (years): 0, 1, 2, 3, 4, 5
- Cash Flows (thousands): -$48, -$48, -$48, -$48, -$48, -$48

In the scenarios provided, the tenant is making payments as specified in the rental agreement, demonstrating various interpretations of cash flow timelines.
Transcribed Image Text:**Question Prompt:** A tenant wants to lease a building for $48,000 per year. She signs a five-year rental agreement that states that she will pay $24,000 every six months for the next five years. Which of the following is the timeline for her rental payments, assuming she makes the first payment immediately? **Options:** **A.** - Date (years): 0, 1, 2, 3, 4, 5 - Cash Flows (thousands): $24, $24, $24, $24, $24, $24 **B.** - Date (years): 0, 1/2, 1, 1 1/2, 2, 2 1/2, 3, 3 1/2, 4, 4 1/2, 5 - Cash Flows (thousands): -$24, -$24, -$24, -$24, -$24, -$24, -$24, -$24, -$24, -$24, 0 **C.** - Date (years): 0, 1, 2, 3, 4, 5 - Cash Flows (thousands): $48, $48, $48, $48, $48, $48 **D.** - Date (years): 0, 1, 2, 3, 4, 5 - Cash Flows (thousands): -$48, -$48, -$48, -$48, -$48, -$48 In the scenarios provided, the tenant is making payments as specified in the rental agreement, demonstrating various interpretations of cash flow timelines.
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