FINANCIAL ACCOUNTING
FINANCIAL ACCOUNTING
10th Edition
ISBN: 9781259964947
Author: Libby
Publisher: MCG
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### Present Value of an Annuity

Determine the present value of $110,000 to be received at the end of each of 4 years, using an interest rate of 7%, compounded annually, as follows:

#### a. By successive computations, using the present value of $1 table in [Exhibit 5](#). Round to the nearest whole dollar.

  - **First year:** $_________
  - **Second Year:** $_________
  - **Third Year:** $_________
  - **Fourth Year:** $_________
  
  **Total present value:** $_________

#### b. By using the present value of an annuity of $1 table in [Exhibit 7](#). Round to the nearest whole dollar.

  - $_________

#### c. Why is the present value of the four $110,000 cash receipts less than the $440,000 to be received in the future?

  - The present value is less due to the **compounding of interest** over the 4 years.

---

**Explanation of Graphs or Diagrams:**

There are no specific graphs or diagrams in the provided text. The text mainly includes blank spaces for calculations related to the present value of an annuity. 

The calculations follow a step-by-step approach:
1. First, individual present values for each of the four years are computed using the present value of $1 table.
2. Then, the total present value is summarized.
3. An alternative method using the present value of an annuity of $1 table is also presented.
4. Finally, a conceptual explanation as to why the total present value is less than the nominal future cash receipts is provided, noting the effect of compound interest.
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Transcribed Image Text:### Present Value of an Annuity Determine the present value of $110,000 to be received at the end of each of 4 years, using an interest rate of 7%, compounded annually, as follows: #### a. By successive computations, using the present value of $1 table in [Exhibit 5](#). Round to the nearest whole dollar. - **First year:** $_________ - **Second Year:** $_________ - **Third Year:** $_________ - **Fourth Year:** $_________ **Total present value:** $_________ #### b. By using the present value of an annuity of $1 table in [Exhibit 7](#). Round to the nearest whole dollar. - $_________ #### c. Why is the present value of the four $110,000 cash receipts less than the $440,000 to be received in the future? - The present value is less due to the **compounding of interest** over the 4 years. --- **Explanation of Graphs or Diagrams:** There are no specific graphs or diagrams in the provided text. The text mainly includes blank spaces for calculations related to the present value of an annuity. The calculations follow a step-by-step approach: 1. First, individual present values for each of the four years are computed using the present value of $1 table. 2. Then, the total present value is summarized. 3. An alternative method using the present value of an annuity of $1 table is also presented. 4. Finally, a conceptual explanation as to why the total present value is less than the nominal future cash receipts is provided, noting the effect of compound interest.
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