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A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
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A: Note: “Since you have asked multiple question, we will solve the first question for you. If you want…
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- Suppose you have a loan of amount P, and you plan to pay off the debt in10 equal annual installments. Suppose the annual compounding rate is r. What is thepresent (t = 0) value of the 7th installment? (Express your answer in terms of thevariables in the problem P and r and simplify your answer.)Consider the following balance sheet (in millions) for an FI: Assets Liabilities Duration = 10 years $950 Duration = 2 years $860 Equity $90 What is the FI's duration gap, and FI's interest rate risk exposure ? How can the FI use futures and forward contracts to put on a macrohedge? What is the impact on the FI's equity value if the relative change in interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Suppose that the FI in part (c) macrohedges using Treasury bond futures that are currently priced at 96. What is the impact on the FI's futures position if the relative change in all interest rates is an increase of 1 percent? That is, DR/(1+R) = 0.01. Assume that the deliverable Treasury bond has a duration of nine years. If the FI wants to macrohedge, how many Treasury bond futures contracts does it need?Given the following cash flows, what is the future value if the interest rate is 5%? Year 1 2 3 Cash Flow $400 $650 $900 a. $2,053.46 b. $1,676.24 c. $2,023.50 d. $1,798.70
- Determine the future value of the following single amounts: Invested Amount Interest Rate No. of Periods1. $ 15,000 6% 122. 20,000 8 103. 30,000 12 204. 50,000 4 12A3) Finance Use the data in the following table to calculate a. The effective duration when rates increase from 4% to 4.2% b. The effective duration when rates decrease from 4% to 3.5% 4% Coupon 10-year T-note Yield to Maturity Price 4.50% 97.78 4.20% 99.11 4.00% 100.00 3.80% 100.90 3.50% 102.28Assume 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.
- D3) The value of a derivative that pays off $100 after one year if a company has defaulted during the year is $5. The value of a derivative that pays off $100 after one year if a company has not defaulted is $97. (a) What is the risk-free rate? (b) What is the risk-neutral probability of default?Suppose S500 is invested at 4% compounded quarterly. (a) How long will it take the investament to accumulate to $750 if the exact method for accumulation is in effect? (b) How long will it take the investment to accumulate to $750 if the practical method for accumulation is in effect? Be sure to us linear interpolation! (e) What anmual effective interest rate must 8500 be invested at to accumulate to S750 in 10 years?Determine the present value of the following single amounts: Future Amount Interest Rate No. of Periods1. $ 20,000 7% 102. 14,000 8 123. 25,000 12 204. 40,000 10 8
- Assume the following: Spot USDBRL = 5.0500 1YR USD Money Market Rates = 1.50% 1YR BRL Money Market Rates = 9.00% What is the 1YR USDBRL forward rate? (Recall that Money Market Rates are quoted as annualized rates)step by step explaination What is the future value of $11,000 invested for one year at an interest rate of 6% p.a.? a. $17000 b. $5000 c. $11660 d. $10377Balance Sheet (dollars in thousands) and Duration (in years) Duration AmountT-bills. 0.5 $ 90T-notes 0.9 55T-bonds 4.393 176Loans 7 2,724Deposits. 1 2,092Fed. funds 0.01 238Equity 715What is the average duration of all the assets? What is the average duration of all the liabilities? What is the FI’s leverage-adjusted duration gap? What is the FI’s interest rate risk exposure? If the entire yield curve shifted upward 0.5 percent (i.e., ΔR/(1 + R) = 0.0050), what is the impact on the FI’s market value of equity? If the entire yield curve shifted downward 0.25 percent (i.e., ΔR/(1 + R) = −0.0025), what is the impact on the FI’s market value of equity?
