Essentials Of Investments
Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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**Text for Educational Website:**

**Pension Fund Duration and Immunization**

A pension plan is set to pay $10,000 once a year for a 10-year period. The first payment will occur in exactly five years. The pension fund aims to immunize its position against interest rate changes.

**Tasks to Complete:**

a. **Determine the Duration of Obligation:**
   - Calculate the duration of the pension fund's obligation to you given the current interest rate of 10% per year.

b. **Constructing an Immunized Position:**
   - If the pension plan utilizes 5-year and 20-year zero-coupon bonds to create an immunized position, determine how much money should be allocated to each bond.

c. **Face Value of Holdings:**
   - Calculate the face value of the holdings in each zero-coupon bond.

**Interactive Questions and Inputs:**

1. **Required A:**
   - Calculate the duration with the provided interest rate, and input the result rounded to four decimal places. 
     - Answer box: Duration = 1.8583 years (example provided).

2. **Required B & C:**
   - Further interaction sections to answer part b and c, guiding through bond investment and face value calculations.

This structured approach aids in understanding pension fund duration and immunization, facilitating calculations through an interactive, step-by-step online interface.
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Transcribed Image Text:**Text for Educational Website:** **Pension Fund Duration and Immunization** A pension plan is set to pay $10,000 once a year for a 10-year period. The first payment will occur in exactly five years. The pension fund aims to immunize its position against interest rate changes. **Tasks to Complete:** a. **Determine the Duration of Obligation:** - Calculate the duration of the pension fund's obligation to you given the current interest rate of 10% per year. b. **Constructing an Immunized Position:** - If the pension plan utilizes 5-year and 20-year zero-coupon bonds to create an immunized position, determine how much money should be allocated to each bond. c. **Face Value of Holdings:** - Calculate the face value of the holdings in each zero-coupon bond. **Interactive Questions and Inputs:** 1. **Required A:** - Calculate the duration with the provided interest rate, and input the result rounded to four decimal places. - Answer box: Duration = 1.8583 years (example provided). 2. **Required B & C:** - Further interaction sections to answer part b and c, guiding through bond investment and face value calculations. This structured approach aids in understanding pension fund duration and immunization, facilitating calculations through an interactive, step-by-step online interface.
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