Afin-Super is the largest superannuation and pension fund in Macquarieland. To promote pension and annuity service, Afin-Super is serving a short-term experience plan(STEP). Plan joiners will be paid $10,000 once a year for a 2-year period (2 payments in total). The first payment will come in 5 years from now. The yield curve is flat at 5% for all maturity. Interests are compounded annually. What is the Macaulay duration of STEP?
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![Afin-Super is the largest
superannuation
Macquarieland.
and pension fund in
To promote pension
and annuity service, Afin-Super is
serving a short-term experience
plan(STEP). Plan joiners will be paid
$10,000 once a year for a 2-year
period (2 payments in total). The first
payment will come in 5 years from
now.
The yield curve is flat at 5% for all
maturity. Interests are compounded
annually.
What is the Macaulay duration of
STEP?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc2e9150a-010e-48b0-8c53-e580fcc87404%2Fab5a74cf-b537-4011-9c28-55813ee34f55%2Fu0xg96i_processed.jpeg&w=3840&q=75)
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- Consider a pension plan that will pay $10,000 once a year for a 5-year period (5 annual payments). The first payment will come in exactly 5 years (at the end of year 5) and the last payment in 9 years (at the end of year 9). a. What is the duration of the pension obligation? The current interest rate is 9% per year for all maturities. b. To generate the scheduled pension payments, the pension fund wants to invest the present value of the future payouts in bonds and match the duration of its obligation in part a). If the fund uses 5-year and 10-year zero-coupon bonds to construct its investment position, how much money (dollar amount) ought to be placed in each bond now? What should be the total face value (not current market value) of each zero coupon bond held? c. Right after the fund made its investment outlined in part b), market interest rates for all maturities dropped from 9% p.a.to 8% p.a. Show that the investment position constructed in part b) can still approximately fund the…Find the present value PV of the annuity account necessary to fund the withdrawal given. HINT [See Quick Example 3.] (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $2,800 per quarter for 10 years, if the account earns 6% per year PV = $ Need Help? Read ItA company wants to determine how much it should pay to purchase a particular ordinary annuity today. The annuity consists of cash flows of $ 8,000 at the end of each year for 5 years. The firm requires the annuity to provide a minimum return of 10%.Calculate the amount(Means you need to calculate PV of ordinry annuity). However anlyse how the answer will change if it a annuity due.
- Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals. Round your answer to the nearest cent.) $2,100 per quarter for 15 years, if the account earns 4% per year PV = $ Need Help? Read It Watch ItYour client is invested in a registered indexed-linked annuity (RILA). The RILA contains a 7% floor, an 80% participation rate, and an overall cap rate of 10%. Suppose in years one and two, the S&P 500 returns 12% and -10%, respectively. What interest rate would be credited to the RILA during these two years? A) Year 1: 10% / Year 2: -7% B) Year 1: 9.6% / Year 2: -7% C) Year 1: 9.6% / Year 2: -3% D) Year 1: 9.6% / Year 2: -10%You will deposit $30,000 per year into an account beginning today that pays 13 percent per year. How long (in years) would it take for you want have a total of $1,000,000 at retirement? m Nper (or N) =n*m Rate (or I/Y)=i/m PV PMT FV Must identify variables and use excel
- Find the present value PV of the annuity account necessary to fund the withdrawal given. (Assume end-of-period withdrawals and compounding at the same intervals as withdrawals Round your answer to the nearest cent.) $300 per month for 20 years, if the account earns 6% per year and if there is to be $10,000 left in the annuity at the end of the 20 years PV=5 Need Help? Pe wwUse the savings plan formula to answer the following question. You put $300 per month in an investment plan that pays an APR of 4.5%. How much money will you have after 28 years? Compare this amount to the total deposits made over the time period. After 28 years the investment plan will contain S (Do not round until the final answer. Then round to the nearest cent as needed.) The total deposits made over the time period is $ (Type a whole number.)An investment promises to pay $5,000 at the end of each year for the next four years and $3,000 at the end of each year for years 5 through 8. Use Table II and Table IV or a financial calculator to answer the questions. Round your answers to the nearest cent. If you require a 9 percent rate of return on an investment of this sort, what is the maximum amount you would pay for this investment?$ Assuming that the payments are received at the beginning of each year, what is the maximum amount you would pay for this investment, given a 9 percent required rate of return?$
- An investment opportunity has the following characteristics: payments of $10,000 will be made to you and invested into a fund at the beginning of each year, for the next 20 years. These payments will earn a 7% effective annual rate, and the interest payments (paid at the end of each year) will immediately be reinvested into a second account earning a 4% effective annual rate. Find the purchase price of this investment opportunity, given that it has an annual yield of 6% over the 20- year life of the investment.An investment offers $966 per year for 11 years, with the first payment occurring Zyears from now. If the required return is 9 percent, what is the value of the investment? (HINT: Remember that when you calculate the PV of the annuity, the claculator gives you the present value of the annuity 1 period before the annuity starts. So if the annuity starts in year 7, that calculator will to give you the persent value of annuity in year 6. Now you have to bring this number to period O by inputting: N=6 (1 period before the annuity starts, in your case it would be a different number depending when your annuity starts) R=9 FV=Present value of annuity you found in step 1. And you solve for PV)An investment promises to pay $6,000 at the end of each year for the next three years and $4,000 at the end of each year for years 4 through 7. Use Table II and Table IV or a financial calculator to answer the questions. Round your answers to the nearest cent. If you require a 11 percent rate of return on an investment of this sort, what is the maximum amount you would pay for this investment?$ Assuming that the payments are received at the beginning of each year, what is the maximum amount you would pay for this investment, given a 11 percent required rate of return?$
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