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 6.20

Q: Consider a mortgage loan where the periodic payment is 1 and the per period mortgage interest is 5%.…

A: Perpetuity can be defined as a cash flow of equal amount at equal intervals of time with out an end.…

Q: Consider a credit default swap initiated on April 1, 2012. The notional principal amount is $100…

A: Accrual payment =Principal (1-recovery rate)

Q: Assume that as of today, the annualized interest rate on a three-year security is 3 percent, while…

A: Interest rate on a three-year = 3% Interest rate on a  two-year  = 2.15%

Q: (b) An annuity immediate has quarterly payments of P 5,000 for 6 years at a rate of 4% convertible…

A: Annuity immediate which starts at the beginning of period. Present value is the equivalent value…

Q: A 1000 bond bearing interest at 5.4% payable semi-annually is due in three years. If money is worth…

A: Purchase price of bond can be calculated by determining the present value of bond plus present…

Q: You have account receivables: ₤5 m in one year. o InterestUS: 6.10% per annum & InterestUK: 9% per…

A: In money market hedge, borrow £ for one year such that the maturity value will be equal to £5…

Q: For each of the following cases, indicate (a) to what interest rate columns and (b) what number of…

A: The time value of money is a key financial concept that indicates that a dollar amount in possession…

Q: If the interest rate is 15%, what is the present value of a security that pays you $1,100 next year,…

A: Time value of money is one of important concept being used in finance. As per this concept, a sum of…

Q: The nominal interest rate on a loan is 12.5% and inflation is 3%. What is the real interest rate?

A: Information Provided: Nominal Rate = 12.5% Inflation = 3%

Q: Consider a fixed-payment security that pays P100 at the end of every year fo the three years. If the…

A: Present value of bond can be calculated by using this equation Present value =C1/(1+r) +C2/(1+r)2…

Q: 127. Assume that for the next three years the maturity yield will stay stable. Three years from now,…

A: Please find the answer to the above question below:

Q: Calculate the inflation-free interest rate assuming that the inflation rate is 6% and the nominal…

A: Solution :  As per the question Nominal Rate Rate = (1+Real Rate ) *(1+Inflation Rate) - 1 Real Rate…

Q: a 20-year a

A: Years of amortization = 20 in months =20*12= 240 The per month discount rate = 4.25% /12=0.3542%=…

Q: ppose in the question above, the tuition obligations have a Macaulay duration of 4.35 in years, and…

A: Duration of the bond shows the weighted period of the bond required to recover the all cash flow…

Q: 5. What is the yield to maturity on a simple loan for $1 million that requires a repayment of $2…

A: Amount of repayment (A) = $2,000,000 Principal amount taken (P) = $1,000,000 Term (n) = 5 years Let…

Q: (a) An annuity immediate has semiannual payments of P 10,000 for 10 years at a rate of 6% convert-…

A: The present value (PV) is the current value of a future sum of money or stream of cash flows given a…

Q: Compute the present value of a $3300 deposit in year 2, and another #2800 deposit at the end of year…

A: Cash flow 1= 3300 Cash flow 2= 2800 Interest rate = 9%

Q: What is the present value of a security that will pay $2,000 at the end of each year for 6 years if…

A: The present value can be calculated as follows if the payments are made at the end : Calculations…

Q: The annual payment of a 10-year fixed-income security is $50. The payments are made at the end of…

A: Present value of annuity is computed as follows:-PV= A*wherePV= Present value of annuityA= periodic…

Q: On December 6, the interest rate on a 1-year T-note was 4.73% and for the 2-year T-note was 4.34%.…

A: T-notes have tow components or determinants of interest rates, risk free rate ( comprising of…

Q: In 2020, your firm' s sales were $1,500,000, its net income was $400,000, and the dividend payment…

A: The dividends are the returns provided to the shareholders by the company. The dividend is the…

Q: You purchased a bond and will receive $500 every six months for the next five years. If the market…

A: Present value of annuity can be computed by using the following formula: Here,…

Q: If inflation is anticipated to be 6 percent during the next year, while the real rate of interest…

A: The nominal return is the sum of the inflation rate and the real rate that we can calculate using…

Q: 3. A $500 savings bond pays 6.5% compounded semiannually and matures in 7.5 years. A. What is the…

A: Bonds are the debt security which is offered or issued by the corporates or the governments to…

Q: What is the Macaulay duration of a $1 per year annuity-immediate payable for 10 years based on an…

A: Step 1:This is calculated as (1*1 / (1+0.05) + 2*1 / (1+0.05)^2 + ... + 10*1 / (1+0.05)^10) /…

Q: suppose lender larry values $1 today equal to $2 a month from now, and borrower barry vlaues $1…

A: The Fisher Equation, named after economist Irving Fisher, states the relationship between nominal…

Q: The current price of the underlying instrument is 1000 PLN. In a year (right after the expiry of the…

A: Spot price of Instrument = 1000 PLNInstrument rate for 1 year = r = 5%Instrument rate for half year…

Q: Suppose that you want to take out a loan and that your local bank wants to charge you an annual real…

A: Compute the nominal interest rate: Nominal interest rate is calculated by using following formula:

Q: The present value of a 6-year annuity is X. The annuity pays 5 at the end of the first month, 10 at…

A: Annuity are a series of payments being made at a regular period. Growing annuity with arithmetic…

Q: You will receive $100 from a savings bond in 4 years. The nominal interest rate is 7.90%. a) What is…

A: BondA bond is a financial instrument which represents a promise, in which the borrower pledges to…

Q: Requirement 1. Determine the present value of seven-year bonds payable with face value of $91,000…

A: Face value of bond= $91000Annual coupon rate= 14%Semi-Annual coupon = 14%*91000/2= $6370Years to…

Q: If a security currently worth $12,800 will be worth $15,573.16 five years in the future, what is the…

A: Present value is the estimation of the current value of future cash value which is likely to be…

Q: Using an effective rate of interest of 8% per annum, calculate the CONVEXITY of the following series…

A: Convexity is the relationship between the duration of a bond, its price and the interest rate. This…

Q: Suppose Home Depot issues 30-year bonds on which it pays a 4.00% (nominal) interest rate. Further,…

A: real rate of interest = nominal rate - inflation  given, nominal rate = 4% Actual interest = 1%

Q: A credit default swap requires a semi annual payment at the rate of 200 basis points per year. The…

A: Here,InterestRate per year is 200 basis points i.e 2%Principal is 1 billionPrice of cheapest…

Q: 9. Assuming an interest rate of 10% calculate the present value of the following streams of yearly…

A: Present value refers to the current value of an asset present at some future date. It is helpful for…

Q: Assume a 360 day year, when a 48,000, 90 day, 8% interest bearing note payable matures, the total…

A: Total payment = Note + Interest   Interest = $48,000 * 8% * 90/360 Interest = $960

Q: Your liabilities consist of $60,000 coming due in one year and $40,000 coming due in three years.…

A: Liability due in one year is $60,000 Liability due in three years is $40,000 The market interest…

Amortized Loans

The term "amortization" refers to spreading the value of a loan or a debt over a series of regular payments or installments comprising of both the principal and interest amount. It generally involves the process where in the value of a loan or an intangible asset is written down over its maturity period.