Your liabilities consist of $60,000 coming due in one year and $40,000 coming due in three years. The market interest rate is 7%. What is the convexity of your liabilities? O4.144 O 4.244 O 3.944 O 4.344
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- Your liabilities consist of a payment of $5 million coming due in two years and a payment of $4 million coming due in three years. The market interest rate is 2%. What are the duration and convexity of your liabilities? O 2.71 and 7.64 O 2.80 and 9.17 O 2.21 and 5.39 O 2.44 and 6.20Assume 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%? Assume previous interest is 10% c. What should or could you to achieve immunised balance sheet? Note: Please show all workings.
- 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 stepIn year zero, you invest P10,000 in a 15% security for 5 years. During that time, the average annual inflation is 6%. How much is the equivalent present worth of your account at maturity due to inflation? P15,030.03 P20,113.57 P18,289.05 P16,892.34Assume 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.
- am. 118.You took out a $200,000 mortgage for 30 years. The contract rate is tied to the one-year U.S. treasury rate (index rate). The fixed risk premium for your mortgage is 9%. Your interest rate will be adjusted every year. For the first year, the index rate is 1.5%. What is the outstanding principal at the end of year 1? $95,758 $198,999 $197,769 $96,726Assume we have a $500,000 mortgage at 3.5% original interest rate, with a 30- year term and monthly payments. The interest rate can be adjusted at the end of each year, and we assume the rate increases 0.15% after the first year and another 0.5% after the second year. What is the loan balance at the end of the second year? O481,255 None of the given answers 455.812 418,256 480,709
- Assume the monthly payment of a loan amount of $400,000 is $1450. How long will it take to retire the loan if the annual interest rate is 4% ? Use the equation, Monthly payment= Where : P = principal (the amount of your mortgage r = the annual interest rate y = length of the mortgage P∗r12 1−(1+r12 )−12 ySuppose the term structure of risk-free interest rates is as shown below: 5 yr 7 yr 10 yr 20 yr Term 1 уг 2 yr 3 yr 3.24 3.79 4.09 5.05 2.07 2.46 2.71 Rate (EAR %) a. Calculate the present value of an investment that pays $1,000 in two years and $3,000 in five years for certain. b. Calculate the present value of receiving $100 per year, with certainty, at the end of the next five years. To find the rates for the missing years in the table, linearly interpolate between the years for which you do know the rates. (For example, the rate in year 4 would be the average rate in year 3 and year 5.) c. Calculate the present value of receiving $1,800 per year, with certainty, for the next 20 years. Infer rates for the missing years using linear interpolation. (Hint: Use a spreadsheet.)What is the Macaulay duration of a $1 per year annuity-immediate payable for 10 years based on an annual interest rate of 5%? It can be calculated using the below formula, Macaulay Duration Formula t-C n-M + (1+y) (1+y) с Current Bond Price Macaulay Duration tx C + Macaulay = Duration Formula (1+ y) nxM (1+ y)n Current Bond Price 13
