What is the duration of the floating rate mortgages?
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Bank of Charub ($ million)
Assets: Liabilities and Net Worth:
270 day US Treasury bills $500m 1 year Certificates of Deposit $550m
2 year consumer loans Demand Deposits $750m
Fixed rate, 12% p.a. annually $275m 2 year Bonds $175m
7 year commercial loans $350m Fixed rate, 7.5% p.a. annually
Fixed rate, 9% p.a. annually Overnight Fed Funds $350m
10 year fixed rate mortgages $675m
Fixed rate, 6.5% p.a. monthly
10 year floating rate mortgages $125m Equity $100m
LIBOR+50bp, monthly roll date
Notes: The 1 year Certificates of Deposit pay 1.95% p.a. annually. The demand deposits
are non-interest bearing and have a duration of zero. The 7 year commercial loans have a
duration of 4.75 years. The fixed rate mortgages have a duration of 8.3 years. All values
are market values.
1. What is the duration of the floating rate mortgages?
a. 0.25 years
b. 10 years
c. 2 years
d. 0.08 years
e. There is not enough information to answer the question
Step by step
Solved in 2 steps
- Bank of Charub ($ million)Assets: Liabilities and Net Worth:270 day US Treasury bills $500m 1 year Certificates of Deposit $550m2 year consumer loans Demand Deposits $750mFixed rate, 12% p.a. annually $275m 2 year Bonds $175m7 year commercial loans $350m Fixed rate, 7.5% p.a. annuallyFixed rate, 9% p.a. annually Overnight Fed Funds $350m10 year fixed rate mortgages $675mFixed rate, 6.5% p.a. monthly10 year floating rate mortgages $125m Equity $100mLIBOR+50bp, monthly roll dateNotes: The 1 year Certificates of Deposit pay 1.95% p.a. annually. The demand depositsare non-interest bearing and have a duration of zero. The 7 year commercial loans have aduration of 4.75 years. The fixed rate mortgages have a duration of 8.3 years. All valuesare market values. 2. What is the duration of the 2 year bonds they are selling at par at 7.5% p.a.interest, compounded annually?a. 1.93 yearsb. 1 yearc. 2 yearsd. 1.5 yearse. 3.86 yearsBank of Charub ($ million)Assets: Liabilities and Net Worth:270 day US Treasury bills $500m 1 year Certificates of Deposit $550m2 year consumer loans Demand Deposits $750mFixed rate, 12% p.a. annually $275m 2 year Bonds $175m7 year commercial loans $350m Fixed rate, 7.5% p.a. annuallyFixed rate, 9% p.a. annually Overnight Fed Funds $350m10 year fixed rate mortgages $675mFixed rate, 6.5% p.a. monthly10 year floating rate mortgages $125m Equity $100mLIBOR+50bp, monthly roll dateNotes: The 1 year Certificates of Deposit pay 1.95% p.a. annually. The demand depositsare non-interest bearing and have a duration of zero. The 7 year commercial loans have aduration of 4.75 years. The fixed rate mortgages have a duration of 8.3 years. All valuesare market values. 4. What is the duration of the 2 year consumer loans if they yield 6% p.a. with acoupon rate of 12% p.a. paid annually?a. 1.87 yearsb. 3.84 yearsc. 2 yearsd. 0.5 yearse. 1.9 yearsBank of Charub ($ million)Assets: Liabilities and Net Worth:270 day US Treasury bills $500m 1 year Certificates of Deposit $550m2 year consumer loans Demand Deposits $750mFixed rate, 12% p.a. annually $275m 2 year Bonds $175m7 year commercial loans $350m Fixed rate, 7.5% p.a. annuallyFixed rate, 9% p.a. annually Overnight Fed Funds $350m10 year fixed rate mortgages $675mFixed rate, 6.5% p.a. monthly10 year floating rate mortgages $125m Equity $100mLIBOR+50bp, monthly roll dateNotes: The 1 year Certificates of Deposit pay 1.95% p.a. annually. The demand depositsare non-interest bearing and have a duration of zero. The 7 year commercial loans have aduration of 4.75 years. The fixed rate mortgages have a duration of 8.3 years. All valuesare market values.3. What is the face value of the 2 year consumer loans if they yield 6% p.a. witha coupon rate of 12% p.a. paid annually?a. $175 millionb. $165 millionc. $247.7 milliond. $155 millione. $172 million
- Bank of Charub ($ million)Assets: Liabilities and Net Worth:270 day US Treasury bills $500m 1 year Certificates of Deposit $550m2 year consumer loans Demand Deposits $750mFixed rate, 12% p.a. annually $275m 2 year Bonds $175m7 year commercial loans $350m Fixed rate, 7.5% p.a. annuallyFixed rate, 9% p.a. annually Overnight Fed Funds $350m10 year fixed rate mortgages $675mFixed rate, 6.5% p.a. monthly10 year floating rate mortgages $125m Equity $100mLIBOR+50bp, monthly roll dateNotes: The 1 year Certificates of Deposit pay 1.95% p.a. annually. The demand depositsare non-interest bearing and have a duration of zero. The 7 year commercial loans have aduration of 4.75 years. The fixed rate mortgages have a duration of 8.3 years. All valuesare market values. 5. What is the convexity of the 2 year consumer loans if they yield 6% p.a. witha coupon rate of 12% p.a. paid annually?a. 4.98b. 2.83c. 3.85d. 1.95e. 2.01Company Flora has the following items on its B/S: Money at bank ( no maturity) : USD 52,000 at 1% LT securities (2 years) : USD 135,000 invested at 10% Overdraft from bank (no maturity): USD 17,000 at 4% Equity ( 5 years) : USD 100,000 LT borrowings (2 years): USD 120,000 at 3% Financial assets (5 years): USD 135,000 at 1.5% ST borrowings (8 months): USD 119,000 at 8% Calculate the net interest margin for the company? (total inflows from interest - total outflows from interest) *Given the balance sheet of XYZ Bank appears below. All figures in millions of U.S. dollars, the total one-year rate-sensitive assets is Assets 1 Short-term consumer loans (one-year maturity) 2 Long-term consumer loans 3 Three-month Treasury bills 4 Six-month Treasury notes 5 Three-year Treasury bond 6 10-year, fixed-rate mortgages 7 30-year, floating-rate mortgages (rate adjusted every nine months) Liabilities $ 150 1 Equity capital (fixed) $ 120 125 2 130 3 135 4 170 5 Demand deposits (two-year maturity) Passbook savings Three-month CDs Three-month bankers acceptances 120 6 Six-month $970 commercial paper 140 7 One-year time deposits 8 Two-year time deposits 40 130 140 120 160 120 40 $970 Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
- Company Flora has the following items on its B/S: Money at bank ( no maturity) : USD 52,000 at 1% LT securities (2 years) : USD 135,000 invested at 10% Overdraft from bank (no maturity): USD 17,000 at 4% Equity ( 5 years) : USD 100,000 LT borrowings (2 years): USD 120,000 at 3% Financial assets (5 years): USD 135,000 at 1.5% ST borrowings (8 months): USD 119,000 at 8% Identify the time buckets for the company? What will be the Net interest income variation for the period of 2 years, if interest rates have a 2% variation? What will be the Net interest income variation for the period of 5 years, if interest rates have a 1% variation? Calculate the net interest margin for the company? (total inflows from interest - total outflows from interest) *A bank has three assets. It has $75 million invested in consumer loans with a three-year duration, $39 million invested in T-bonds with a 15-year duration, and $19 million in six-month maturity T-bills. What is the duration of the bank's asset portfolio in years? A) 3.95 years B) 6.16 years C) 6.50 years D) 7.38 years E) 11.51 yearsChang Co. issued a $42,940, 120-day, discounted note to Guarantee Bank. The discount rate is 9%. Assuming a 360-day year, the cash proceeds to Chang Co. are a.$42,940 b.$43,262 c.$46,805 d.$41,652
- Assume a bank has the following balance sheet. Determine the 2-year GAP. AssetAmount LiabilityAmountCash$100 90-day CDs$1006-month Gbonds$400 360-day CDs$200 2-yearcommercialloans$400 Time Deposits 2- year $900 5-year fixedrate loans$500 Stockholder’s equity$200 Total$1,400 Total$1,400 GAP = (RSA2 yr – RSL2 yr) 0 -$100 -$200 -$300 -$800XXX, Inc. finances tis seasonal working capital need with short-term bank loans. Management plans to borrow $65,000 for a year. The bank has offered the company a 3.5 percent discounted loan with a 1.5 percent origination fee. What are the interest payment and the origination fee requiered by the loan? What is the rate of interest charged by the bank?The clean Bank has the following assets and liabilities as of year-end.All asset and liability item have face value of $1,000 and are priced at par.And interests and coupons are paid annually for all asset and liability items. Assets Amount($millions) Annual Rate Liabiltiies and Equity Amount($millions) Annual Rate 5-year loans 40 40% 3-year term deposit 20 4% 5-year coupon bonds 60 8% 5-year term deposit 30 8% Equity 50 Total 100 100 Please calulate the Clean Bank's maturity gap.What does the maturity gap imply about the interest risk of the bank?Will you view on the interest risk of the bank be different under duration model?Explain carefully..
