Question 10
What is the future value of a five-year ordinary annuity of $1,000 per year if the interest rate is 4.30%? Hint: solve for year 5.
Question 11
What is the present value of a perpetuity that offers to pay $100 next year and every year after the payment grows at 4.9%. Investments with similar risk are offering an 8% annual return.
In: Finance
|
One-year Treasury bills currently earn 2.95 percent. You expect that one year from now, 1-year Treasury bill rates will increase to 3.15 percent and that two years from now, 1-year Treasury bill rates will increase to 3.65 percent. The liquidity premium on 2-year securities is 0.05 percent and on 3-year securities is 0.15 percent. If the liquidity premium theory is correct, what should the current rate be on 3-year Treasury securities? (Do not round intermediate calculations. Round your answer to 2 decimal places.) |
| Current rate | % |
In: Finance
1a. Suppose that the current one-year rate (one-year spot rate)
and expected one-year T-bill rates over the following three years
(i.e., years 2, 3, and 4, respectively) are as follows:
1R1 = 0.3%,
E(2r 1) = 1.3%,
E(3r1) = 10.4%,
E(4r1) = 10.75%
Using the unbiased expectations theory, calculate the current
(long-term) rates for one-, two-, three-, and four-year-maturity
Treasury securities. (Round your answers to 3 decimal
places. (e.g., 32.161))
1b.The Wall Street Journal reports that the
rate on four-year Treasury securities is 1.3 percent and the rate
on five-year Treasury securities is 2.8 percent. According to the
unbiased expectations hypotheses, what does the market expect the
one-year Treasury rate to be four years from today,
E(5r1)? (Do not
round intermediate calculations. Round your answer to 2 decimal
places. (e.g., 32.16))
1c.Assume the current interest rate on a one-year Treasury bond (1R1) is 1.69 percent, the current rate on a two-year Treasury bond (1R2) is 1.85 percent, and the current rate on a three-year Treasury bond (1R3) is 1.96 percent. If the unbiased expectations theory of the term structure of interest rates is correct, what is the one-year interest rate expected on T-bills during year 3 (E(3r1) or 3f1)? (Do not round intermediate calculations. Round your answer to 2 decimal places. (e.g., 32.16))
1d.Calculate the future value of the following annuity
streams:
a. $8,000 received each year for 5 years on the
last day of each year if your investments pay 6 percent compounded
annually.
b. $8,000 received each quarter for 5 years on the
last day of each quarter if your investments pay 6 percent
compounded quarterly.
c. $8,000 received each year for 5 years on the
first day of each year if your investments pay 6 percent compounded
annually.
d. $8,000 received each quarter for 5 years on the
first day of each quarter if your investments pay 6 percent
compounded quarterly.
(For all requirements, do not round intermediate
calculations. Round your answers to 2 decimal places. (e.g.,
32.16))
a. Future Value:
b. Future Value:
c. Future Value:
d. Future Value:
In: Finance
"One-year Treasury bills currently earn 3.25%; You expect that one year from now, 1-year Treasury bill rates will increase to 3.55% and that two years from now, one-year Treasury bill rates will increase to 4.15%; If the unbiased expectations theory is correct, what should the current rate be on three-year Treasury securities?"
3.56%
5.84%
3.42%
3.65%
3.93%
In: Finance
Consider the following time series data.
Excel File: data17-35.xls
| Quarter | Year 1 | Year 2 | Year 3 |
| 1 | 4 | 6 | 7 |
| 2 | 2 | 3 | 6 |
| 3 | 3 | 5 | 6 |
| 4 | 5 | 7 | 8 |
b. Show the four-quarter and centered moving average values for this time series (to 3 decimals if necessary).
| Year | Quarter | Time Series Value | Four-Quarter Moving Average | Centered Moving Average |
| 1 | 1 | 4 | ||
| 2 | 2 | |||
| 3.25 | ||||
| 3 | 3 | ________ | ||
| 4 | ||||
| 4 | 5 | _______ | ||
| _________ | ||||
| 2 | 1 | 6 | _________ | |
| 4.75 | ||||
| 2 | 3 | 5 | ||
| 5.25 | ||||
| 3 | 5 | 5.375 | ||
| 5.5 | ||||
| 4 | 7 | _______ | ||
| _______ | ||||
| 3 | 1 | 7 | _______ | |
| _______ | ||||
| 2 | 6 | ______ | ||
| ________ | ||||
| 3 | 6 | |||
| 4 | 8 |
c. Compute seasonal indexes and adjusted seasonal indexes for the four quarters (to 3 decimals).
| Quarter | Seasonal Index |
Adjusted Seasonal Index |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| Total |
In: Statistics and Probability
| Year 1 | Year 2 | Year 3 | |
|
Treasury Zero-Coupon Bond Price |
0.976 |
0.952 |
0.928 |
|
Interest Rate Swap |
a |
b |
c |
|
Oil Forward Price |
57 |
58 |
59.5 |
|
Oil Swap Price |
d |
e |
f |
Use the information in the table above and construct the set of fixed rates of the interest rate swaps and the oil swap prices for 1 through 3 years. (Find a-f)
In: Finance
problem 08-23 Algo (Using Regression Analysis for Forecasting
Quarter:1,2,3,4
year 1: 2,0,5,5
year 2: 5,2,8,8
year 3: 7,6,10,10
| Use a multiple regression model with dummy variables as follows to develop an equation to account for seasonal effects in the data. Qtr1 = 1 if Quarter 1, 0 otherwise; Qtr2 = 1 if Quarter 2, 0 otherwise; Qtr3 = 1 if Quarter 3, 0 otherwise. | |||||||||||||||||||||
| If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) If the constant is "1" it must be entered in the box. Do not round intermediate calculation. | |||||||||||||||||||||
| ŷ = + Qtr1 + Qtr2 + Qtr3 | |||||||||||||||||||||
| (c) | Compute the quarterly forecasts for next year based on the model you developed in part (b). | ||||||||||||||||||||
| If required, round your answers to three decimal places. Do not round intermediate calculation. | |||||||||||||||||||||
|
|||||||||||||||||||||
| (d) | Use a multiple regression model to develop an equation to account for trend and seasonal effects in the data. Use the dummy variables you developed in part (b) to capture seasonal effects and create a variable t such that t = 1 for Quarter 1 in Year 1, t = 2 for Quarter 2 in Year 1,… t = 12 for Quarter 4 in Year 3. | ||||||||||||||||||||
| If required, round your answers to three decimal places. For subtractive or negative numbers use a minus sign even if there is a + sign before the blank. (Example: -300) | |||||||||||||||||||||
| ŷ = + Qtr1 + Qtr2 + Qtr3 + t | |||||||||||||||||||||
| (e) | Compute the quarterly forecasts for next year based on the model you developed in part (d). | ||||||||||||||||||||
| Do not round your interim computations and round your final answer to three decimal places. | |||||||||||||||||||||
|
|||||||||||||||||||||
| (f) | Is the model you developed in part (b) or the model you developed in part (d) more effective? | ||||||||||||||||||||
| If required, round your intermediate calculations and final answer to three decimal places. | |||||||||||||||||||||
|
Can you please show me how to step up excel spreadsheet for this problem. How to figure out the problems on this question.
In: Math
One-year Treasury bills currently earn 2.25 percent. You expected that one year from now, 1-year Treasury bill rates will increase to 2.75 percent and that two years from now, 1-year Treasury bill rates will increase to 3.15 percent. If the unbiased expectations theory is correct, what should the current rate be on 3-year Treasury securities? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
In: Finance
One-year Treasury bills currently earn 4.00 percent. You expect that one year from now, 1-year Treasury bill rates will increase to 4.20 percent. The liquidity premium on 2-year securities is 0.06 percent. If the liquidity theory is correct, what should the current rate be on 2-year Treasury securities? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
In: Finance
Upon graduating from college this year, you expect to earn $25,000 per year. If you get your MBA, in one year you can expect to start at $35,000 per year. Over the year, inflation is expected to be 5 percent. In today's dollars, how much additional (less) money will you make from getting your MBA (to the nearest dollar) in your first year?
In: Finance