We would like you to take a role of a fixed income specialist and provide advice to a friend who has an investment problem. Suppose your friend has some savings and they are thinking about investing them in bonds for a period of two years. They are considering the following two bonds that are currently available on the market: four-year bond with face value $10,000, coupon rate 6%, paying coupons annually eight-year bond with face value $10,000, coupon rate 10%, paying coupons annually   Assume that the term structure of interest rates is the following: r1=1%, r2=3%, r3=5%, r4=7%, r5=8%, r6=8.5%, r7=9%, r8=9.2%. Assume also that in two years there are two different possible states of the world with equal probability: all interest rates stay at the same level or all interest rates increase by 1% Your friend wants you to tell them the rate of return they could earn on each of the above two bonds over the period of two years. They also ask for advice about which bond to select for the investment. Your advice needs to be confirmed with relevant quantitative analysis and you need to clearly explain to your friend the difference between the yield to maturity and the holding period return for each bond.

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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We would like you to take a role of a fixed income specialist and provide advice to a friend who has an investment problem. Suppose your friend has some savings and they are thinking about investing them in bonds for a period of two years. They are considering the following two bonds that are currently available on the market:

    • four-year bond with face value $10,000, coupon rate 6%, paying coupons annually
    • eight-year bond with face value $10,000, coupon rate 10%, paying coupons annually

 

Assume that the term structure of interest rates is the following: r1=1%, r2=3%, r3=5%, r4=7%, r5=8%, r6=8.5%, r7=9%, r8=9.2%. Assume also that in two years there are two different possible states of the world with equal probability:

    • all interest rates stay at the same level or
    • all interest rates increase by 1%

Your friend wants you to tell them the rate of return they could earn on each of the above two bonds over the period of two years. They also ask for advice about which bond to select for the investment. Your advice needs to be confirmed with relevant quantitative analysis and you need to clearly explain to your friend the difference between the yield to maturity and the holding period return for each bond.

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