Consider a portfolio which consists of the following two
assets:
• Asset A: 4-year annuity, paying 100 AUD each year.
• Asset B: An asset which pays 200 AUD after the second year and
after the fourth year.
The current interest rate is 10%.
a) Calculate the durations for Asset A and Asset B. b) Calculate
the duration of the portfolio.
c) We want to borrow money with a one-time repayment in 5 years from now. How much can we borrow such that the combination of the asset portfolio and the liability is immune to changes in the interest rate?
Consider a portfolio which consists of the following two assets: • Asset A: 4-year annuity, paying...
Consider a three-year annuity which pays 100 AUD every year. The market interest rate is 10%. Calculate the duration of the annuity. Select one: a. 194 b. 1.94 c. 364 d. 3.64 e. None of the other answers is correct.
Suppose you are holding a portfolio of bonds that consists of the following four bonds. Portfolio Weight (%) 30 A B. Bond A $1,000 twenty-year 15% coupon bond with the interest rate of 12% A $1,000 eight-year discount bond with the interest rate of 7% $1,000 ten-year 12% coupon bond with the interest rate of 9% A $1,000 five-year 4% coupon bond with the interest rate of 5% C A D. (Note) Round your answers to 2 decimal places. 1....
A deferred annuity consists of an ordinary annuity paying $2100 semiannually for a 12-year term after a 6-year period of deferral. Calculate the deferred annuity’s present value using a discount rate of 4.1% compounded quarterly. (Do not round intermediate calculations and round your final answer to 2 decimal places.) Present value $
A deferred annuity consists of an ordinary annuity paying $2700 semiannually for a 10-year term after a 5-year period of deferral. Calculate the deferred annuity’s present value using a discount rate of 4.7% compounded quarterly. (Do not round intermediate calculations and round your final answer to 2 decimal places.) Present value $
2. (30pts) Consider a portfolio which consists of single asset. The return of the asset is normally distributed with annual mean return 5% annual standard deviation 5%. The value of portfolio today is S80 million. Suppose the time horizon is one year, a) Determine the mean and standard deviation of the portfolio at the end of the year. b) What is the probability that the end of year loss is more than $10 million? b) What is the probability that...
Now suppose market interest rates have risen over the course of the year. Specifically, the bonds in your portfolio experienced the following changes. Interest Rate a Year Ago (96) Interest Rate Now (96) 12 10 5.5 3. Calculate the approximate change in the price of each bond in your portfolio. (Hint) You may want to use the Equation (2) in the Web Appendix to Cho4. %A in P Portfolio Weight %) Suppose you are holding a portfolio of bonds that...
Finance problems thx!
4. Consider the following securities: (i) an annuity that pays $1,000 a year at the end of each of the next 10 years, (ii) a perpetuity that pays $1,000 a year forever starting 11 years from today. a. What are the values of these securities at an annual interest rate of 4%? b. What are the values of these securities at an annual interest rate of 10%?
You are managing an investment portfolio X on behalf of your clients. Assume the assets within portfolio X belong to three asset classes: stocks, fixed income and cash, with weights 60%, 9% and 31%. Suppose the benchmark index weights had been set at 65% equity, 18 % bonds and 17% money market. Question 2 (8 marks) The return of the benchmark index and the managed portfolio X for each asset class for last year were as follows Benchmark Index Portfolio...
One year ago you invested $100,000 in a two-year asset that pays 4%, annualized (there is only 1 cash flow - after 2 years). a) what is the value of this asset today if the one-year (spot) interest rate is 4% and the two-year (spot) 7. rate is 5%? b) what is the value of this asset today if the one-year (spot) rate is 5% and the two-year rate is 4%?
Problem 2.9 (Portfolio theory) A portfolio is a row vector in which y is the number of units of asset i held by an investor. After a year, say, the value of the assets will increase (or decrease) by a certain percentage. The change in each asset depends on states the economy will assume, predicted as a returns matrix, R (ri), where riy is the factor by which investment i changes in one year if state j occurs. Suppose an...