Use the balance sheet of a bank below to answer the following. The duration of asset is 1.5 years, the duration of liabilities 2 years. Assets Liabilities Required Reserves 8 m Money Market Deposits 50 m Excess Reserves 7 m 3-year CDs 60 m T-bills 85 m Capital 10 m Mortgages 15m Commercial paper 5m What happens to the value of liability if the interest rate goes down by 1%? up by 2% down by 2% O down by 1.36% O up by 1.36%
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- PLEASE SOLVEUbu Bank has the following assets and liabilities : Asset X has a maturity of 3 years and a market value of $600,000 and asset Y has a maturity of 9 years and a market value of $500,000. Liability A has a maturity of 2 years and a market value of $700,000 and liability B has a maturity of 8 years and a market value of $700,000. What is the maturity gap of the bank ? Round your final answer to 2 decimal places. E.g. if the final answer is -3.59 years, type -3.59 in the answer box. If the final answer is 3.59 years, type 3.59 in the box .Assume you have the following asset and liability in your Balance Sheet:Asset - Bond AModified Duration = 2.6 yearsValue= RM1.5 millionLiability - Bond BModified Duration = 3.1 yearsValue= RM1.0 million duration gap is 0.53 years, net worth reduce by 8000. What should or could you to achieve immunized balance sheet?
- Answer in typingFind the amount (in $) of interest and the maturity value of the loans. Use the formula MV = P + I to find the maturity value. Principal Rate (%) Time Interest Maturity Value $97,000 8 1 4 4 1 2 years $ $With an initial deposit of 200 dollars, the balance in a bank account after t years is f(t) = 200(1.05)t dollars. What are the units of the rate of change of f(t)? Find the average rate of change over [0,1]
- Please solve this accounting problemif a bank has 100Mn loan, 200Mn deposit, 10Mn capital and 100Mn investment in Government bond, the deposit promises a yearly return of 4% for the next 30 years and the bond promises YTM of 0.5% . How would you createthe balance sheet of the bank? Would you incorporate the future value of the loans on the balance sheet or only the nominal values assuming that you look at the balance sheet todayThe value of a bank account collecting interest which is continuously compounded is modeled by the equation: A = Pet where: A is the value of the account at time t P, or the principal, is the value of the initial investment t is time (measured in years) r is the interest rate (written as a decimal) 1. Suppose that $5000 is put into an account with an interest rate of 8% compounded continuously. a) How much will the account be worth after 3 years (exact value) ? b) How much will the account be worth after 3 years (rounded to the nearest cent) ? c) How many years will it take for the value of the account to double? In an exponential model for population growth, the size of a population at time t is rt described by the equation: N(t) = Net where: N is the initial population or the population at t=0 r is the percentage growth rate t = time and can be measured in different units depending on the problem. Note: You don't have to use e and r. It is often possible to find an equivalent form…
- The principal P is borrowed at simple interest rate r for a period of time t. Find the loan's future value, A, or the total amount due at time t. P=$4000, r= 7.5%, t= 9 months The future value is $ (Simplify your answer. Type an integer or a decimal.)Assume a bank has the following (very simplified) balance sheet. 1)Assets Mortgages Fixed rate, 15 year, annual payments, both the coupon rate and yield-to-maturity are 8% Floating rate, 15 year, rate: LIBOR + 2%, (duration = 0) 2)Liabilities Overnight deposits, rate: 0.6%, (duration = 0) 2 year CD, rate: 2%, assume it is a zero coupon 3 year CD, rate: 4%, assume it is a zero coupon 3) Assignment: Calculate weights which will immunize the portfolio. Note this is a set of weights, there is not one unique solution. You don't have to calculate the full set, just some set of weights which immunizes the portfolio. Now say you can only invest 50% of your assets in floating rate mortgages. What is the minimum amount of interest rate risk you can have? What will happen to the value of your portfolio if interest rates increase by 1%?What is the amount of the quarterly deposits A such that you will be able to withdraw the amounts shown in the cash flow diagram if the interest rate is 6% compounded quarterly? Q 6% Compounded quarterly $2,500 $1,600 Quarters 0 1 2 3 4 5 6 7 8 The amount of the quarterly deposits A should be $ (Round to the nearest dollar.) (Deposit)