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- Quantitative Problem: Today, interest rates on 1-year T-bonds yield 1.3%, interest rates on 2-year T-bonds yield 2.3%, and interest rates on 3-year T-bonds yield 3.7%. a. If the pure expectations theory is correct, what is the yield on 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. % 1.3 Show All Feedback b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. 2.4 % Show All Feedback c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. 3.8 Show All FeedbackQuantitative Problem: Today, interest rates on 1-year T-bonds yield 1.7%, interest rates on 2-year T-bonds yield 2.3%, and interest rates on 3-year T-bonds yield 3.3%. a. If the pure expectations theory is correct, what is the yield ofb 1-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. b. If the pure expectations theory is correct, what is the yield on 2-year T-bonds one year from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places. c. If the pure expectations theory is correct, what is the yield on 1-year T-bonds two years from now? Be sure to use a geometric average in your calculations. Do not round intermediate calculations. Round your answer to four decimal places.Assume that the real risk-free rate is 1% and that the maturity risk premium is zero. If a 1-year Treasury bond yield is 6% and a 2-year Treasury bond yields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places. What inflation rate is expected during Year 2? Do not round intermediate calculations. Round your answer to two decimal places.
- Assume that the real risk-free rate is 2.4% and that the maturity risk premium is zero. If a 1-year Treasury bond yield is 5.6% and a 2-year Treasury bond yields 6.3%. Calculate the yield using a geometric average. What is the 1-year interest rate that is expected for Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % What inflation rate is expected during Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. The difference is due to the inflation rate reflected in the two interest rates. The inflation rate reflected in the interest rate on any security is the average rate of inflation expected over the security's life. The difference is due to the real risk-free rate reflected in the two interest rates. The real risk-free rate reflected in the interest rate on any security is the…Assume that the real risk-free rate is 1.9% and that the maturity risk premium is zero. If a 1-year Treasury bond yield is 5.6% and a 2-year Treasury bond yields 6.3%. Calculate the yield using a geometric average. What is the 1-year interest rate that is expected for Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % What inflation rate is expected during Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. The difference is due to the fact that the maturity risk premium is zero. The difference is due to the fact that we are dealing with very short-term bonds. For longer term bonds, you would not expect an interest rate differential. The difference is due to the fact that there is no liquidity risk premium. The difference is due to the inflation rate reflected in the two interest…Assume that the real risk-free rate is 2% and that the maturityrisk premium is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bondyields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yieldusing a geometric average. What inflation rate is expected during Year 2? Comment onwhy the average interest rate during the 2-year period differs from the 1-year interestrate expected for Year 2.
- Assume you have the following asset and liability in your balance sheet Asset - Bond AModified Duration = 1.5 yearsValue = RM1 million Liability - Bond BModified Duration 2.6 yearsValue = RM2 million a. Calculate the duration gaps?b. What is the expected change in Net worth if interest increases by 1%?c. What should or could you to achieve immunised balance sheet?Assume you have the following asset and liability in your Balance Sheet: Asset - Bond A Modified Duration = 2.6 years Value = RM1.5 million Liability - Bond B Modified Duration = 3.1 years Value = RM1.0 million a. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%? c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.I (Interest rates) 1. Consider a bank account paying interest rate R2 = 4% with semi-annual compounding frequency. What is the equivalent rate R1 with yearly compounding frequency? What is the equivalent rate Rc with continuous compounding? 2. Explain briefly (in words) what are the potential pitfalls of using the Internal Rate of Return (IRR) for the evaluation of investment projects. 3. Consider the following two bonds: bond (A) is a zero-coupon bond with maturity TA and duration DA = TA; bond (B) is a coupon bond with maturity TB > TA and duration DB = TA. Which of the two bonds has a greater convexity? (Justify your answer.)
- EXPECTATIONS THEORY Assume that the real risk-free rate is 2% and that the risk premium is zero. If a 1-year Treasury bond yield is 5% and a 2-year Treasury bond yields 7%, what is the 1-year interest rate that is expected for Year 2? Calculate this yield using a geometric average. What inflation rate is expected during Year 2? Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. 6-15 maturityApplying Time Value of Money Concepts Complete the missing information in the table below. Assume that all bonds pay interest semiannually. Do not use negative signs with answer. Round percentages to one decimal place (ex. 0.0345 = 3.5%). Round all other values to the nearest whole number. Annual Yield Years to Coupon Issue Maturity Rate Face value Proceeds Firm 1 8.00% 15 7.00% $500,000 $ Firm 2 3.00% 10 0.00% $ $705,347 Firm 3 6.50% 5.00% $500,000 $458,353 Firm 4 % 12 3.50% $1,000,000 $1,114,103 Firm 5 0.80% 20 2.00% $700,000 $Assume you have the following asset and liability in your Balance Sheet:Asset - Bond AModified Duration = 2.6 yearsValue= RM1.5 millionAAFARLiability - Bond BModified Duration = 3.1 yearsValue= RM1.0 milliona. Calculate the duration gap. b. What is the expected change in Net Worth if interest increases by 1%?attachment. calculation step by step