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Required information Treasury securities are issued and backed by the U.S. government and, therefore, are considered...

Required information

Treasury securities are issued and backed by the U.S. government and, therefore, are considered to be the lowest-risk securities on the market. As an investor looking for protection against inflation, you are considering the purchase of inflation-adjusted bonds known as U.S. Treasury Inflation-Protected Securities (TIPS). With these securities, the face value (which is paid at maturity) is regularly adjusted to account for inflation; however, the semiannual interest payment (called the bond dividend) remains the same.

You purchased a 10-year $10,000 TIPS bond with dividend of 4% per year payable semiannually (i.e., $200 every 6 months). Assume there is no inflation adjustment for the first 5 years, but in years 6 through 10, the bond face value increases by $1500 each year. You use an expected investment return of 14.5% per year compounded semiannually.

What will be the equivalent future worth of the total money received with dividend reinvestment included?

The future worth of all the income received would be $ ______________

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Answer #1
Original Principal (Par) =$10,000
Coupon Rate,10years = 4% p.a
Expected investment return = 14.5% per year compounded semiannually
Therefore, semi-annual rate = (1.145)1/2 -1 = 7%
Time Inflation Coupon Annuity Factor @7% Future Value
Years semi-annual Principal semi-annual Amount ($)
           0.5 $10,000 2% 200 3.6165           723.30
           1.0 $10,000 2% 200 3.3799           675.98
           1.5 $10,000 2% 200 3.1588           631.76
           2.0 $10,000 2% 200 2.9522           590.44
           2.5 $10,000 2% 200 2.759           551.80
           3.0 $10,000 2% 200 2.5785           515.70
           3.5 $10,000 2% 200 2.4098           481.96
           4.0 $10,000 2% 200 2.2522           450.44
           4.5 $10,000 2% 200 2.1049           420.98
           5.0 $10,000 2% 200 1.9672           393.44
           5.5 $750 $10,750 2% 215 1.8385           395.28
           6.0 $750 $11,500 2% 230 1.7182           395.19
           6.5 $750 $12,250 2% 245 1.6058           393.42
           7.0 $750 $13,000 2% 260 1.5007           390.18
           7.5 $750 $13,750 2% 275 1.4026           385.72
           8.0 $750 $14,500 2% 290 1.3108           380.13
           8.5 $750 $15,250 2% 305 1.225           373.63
           9.0 $750 $16,000 2% 320 1.1449           366.37
           9.5 $750 $16,750 2% 335 1.07           358.45
         10.0 $750 $17,500 2% 350 1           350.00
         10.0 $17,500 1     17,500.00
Total Future Value $26,724.16
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