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 $ ______________
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 |
Required information Treasury securities are issued and backed by the U.S. government and, therefore, are considered...
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...
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...
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...
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3. Problem on Inflation Risk The US Treasury started issuing TIPS (inflation protected securities) in 1997. The key provisions and features of these securities can be found at https://www.treasurydirect.gov/indiv/research/indepth/tips/res_tips_rates.htm, and are reported here The coupon rate which is set at auction, remains fixed throughout the term of the secur1 The principal amount of the security is adjusted for inflation, but the inflation adjusted principal will not be paid until maturity. Semiannual interest payments are based on the inflation-adjusted principal at...
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