Question
The Table below calculates the one-year real rate of return on different-maturity $10,000 Face Value discount bonds when interest rates rise from 4.3% to 7.1%
The Table below calculates the one-year real rate of return on different-maturity $10,000 Face Value discount bonds when interest rates rise from 4.3% to 7.1% over the one-year period. Use the discount bond formula and assume the one-year interest yield is the same for all maturities: Pt corresponds to 4.3% interest rate for the formula, and Pt+1 corresponds to 7.1% interest rate. (28 marks) | ||||||
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Maturity in years | Initial Interest Yield (YTM = i1) | Initial Price (Pt) at i1 = 4.3% | Price Next Year (Pt+1) at i2 = 7.1% | Capital Gain (g%) | Rate of Inflation (%) | Real Rate of Return (RRET%) |
25 | 4.3% | 1,799.962 | 1.8 | |||
20 | 4.3% | 4,308.378 | -41.13 | 1.8 | -38.63 | |
15 | 4.3% | 3,574.028 | 1.8 | |||
10 | 4.3% | 6,563.824 | 1.8 | |||
5 | 4.3% | 8,101.743 | -12.406 | 1.8 | -9.906 | |
2 | 4.3% | 8,718.084 | 1.8 | -2.66 | ||
1 | 4.3% | 9,587.728 | 10,000 | 0 | 1.8 |
Include the negative sign in your table data where appropriate. Do not include the percent sign.(2marks each):
Part 1: Calculate the purchase price (Pt) for the 25-year bond:
Part 2: Calculate the purchase price (Pt) for the 15-year bond:
Part 3: Calculate the purchase price (Pt) for the 2-year bond:
Part 4: Calculate the sale price (Pt+1) for the 20-year bond:
Part 5: Calculate the sale price (Pt+1) for the 10-year bond:
Part 6: Calculate the sale price (Pt+1) for the 5-year bond:
Part 7: Calculate the capital gain (g) on the 25-year bond:
Part 8: Calculate the capital gain (g) on the 15-year bond:
Part 9: Calculate the capital gain (g) on the 10-year bond:
Part 10:Calculate the capital gain (g) on the 2-year bond:
Part 11: Calculate the real rate of return (RRET) on the 25-year bond:
Part 12: Calculate the real rate of return (RRET) on the 15-year bond:
Part 13: Calculate the real rate of return (RRET) on the 10-year bond:
Part 14: Calculate the real rate of return (RRET) on the 1-year bond:
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