Problem 1: The following table shows the number of gallons of gasoline sold by a gasoline distributor in Providence, Rhode Island, over the past 7 weeks. Forecast sales using a 3-week weighted moving average where the weights are 3, 2, and 1.
| Week | Sales (100s of Gallons) |
| 1 | 17 |
| 2 | 21 |
| 3 | 19 |
| 4 | 23 |
| 5 | 18 |
| 6 | 16 |
| 7 | 20 |
In: Finance
Consider the two investments shown below, only one of which can be chosen. They are one-shot investments. Calculate AW2-1 assuming 13.2305 interest rate.
|
EOY |
Alternative 1 |
Alternative 2 |
|
0 |
- 20,286 |
- 40,370 |
|
1 |
3,741 |
1,000 |
|
2 |
3,741 |
1,800 |
|
3 |
3,741 |
2,600 |
|
4 |
3,741 |
3,400 |
|
5 |
3,741 |
4,200 |
|
6 |
5,000 |
|
|
7 |
5,800 |
|
|
8 |
6,600 |
In: Accounting
Find a function f such that F = ∇f and use it to compute R
C Fdr along curve C.
• F = <x, y>, C is part of the parabola y = x ^ 2 from (−1,
1) to (3, 9).
• F = <4xe ^ z, cos (y), 2x ^ 2e ^ z>, where C is parameterized by r (t) = <t, t ^ 2, t ^ 4>, 0 ≤ t ≤ 1.
In: Math
The current 1-year spot rate on a treasury bill is 4.25% and the current 1-year spot rate on a BB-rated bond of equivalent risk to a prospective loan is 11.55%. The bond has a marginal probability of default in year 2 of 8.5% 11. What is the marginal probability of default in year 1? (3 points) 12. What is the cumulative probability of default over the 2 years? (4 points)
In: Finance
Consider the two investments shown below, only one of which can be chosen. They are one-shot investments. Calculate AW2-1 assuming 15.2628 interest rate.
|
EOY |
Alternative 1 |
Alternative 2 |
|
0 |
- 24,423 |
- 48,780 |
|
1 |
2,729 |
1,000 |
|
2 |
2,729 |
1,800 |
|
3 |
2,729 |
2,600 |
|
4 |
2,729 |
3,400 |
|
5 |
2,729 |
4,200 |
|
6 |
5,000 |
|
|
7 |
5,800 |
|
|
8 |
6,600 |
In: Finance
1. You have a set of three dice.(12 marks, 4 marks each)
(a) Calculate the probability of getting 0, 1, 2 and 3 sixes if
the
dice are fair.
(b) Suppose you roll the three dice 100 times. The results
are
# of 6s # of times
0 47
1 35
2 15
3 3
Test the null hypthesis that the dice are fair at α = .01
significance level.
In: Statistics and Probability
Consider the two investments shown below, only one of which can be chosen. They are one-shot investments. Calculate AW2-1 assuming 13.2305 interest rate.
|
EOY |
Alternative 1 |
Alternative 2 |
|
0 |
- 20,286 |
- 40,370 |
|
1 |
3,741 |
1,000 |
|
2 |
3,741 |
1,800 |
|
3 |
3,741 |
2,600 |
|
4 |
3,741 |
3,400 |
|
5 |
3,741 |
4,200 |
|
6 |
5,000 |
|
|
7 |
5,800 |
|
|
8 |
6,600 |
In: Economics
Consider the two investments shown below, only one of which can be chosen. They are one-shot investments. Calculate AW2-1 assuming 14.7914 interest rate.
|
EOY |
Alternative 1 |
Alternative 2 |
|
0 |
- 20,301 |
- 58,577 |
|
1 |
2,706 |
1,000 |
|
2 |
2,706 |
1,800 |
|
3 |
2,706 |
2,600 |
|
4 |
2,706 |
3,400 |
|
5 |
2,706 |
4,200 |
|
6 |
5,000 |
|
|
7 |
5,800 |
|
|
8 |
6,600 |
In: Economics
Consider the two investments shown below, only one of which can be chosen. They are one-shot investments. Calculate AW2-1 assuming 10.8354 interest rate.
|
EOY |
Alternative 1 |
Alternative 2 |
|
0 |
- 20,369 |
- 56,679 |
|
1 |
3,844 |
1,000 |
|
2 |
3,844 |
1,800 |
|
3 |
3,844 |
2,600 |
|
4 |
3,844 |
3,400 |
|
5 |
3,844 |
4,200 |
|
6 |
5,000 |
|
|
7 |
5,800 |
|
|
8 |
6,600 |
In: Economics
Consider the two investments shown below, only one of which can be chosen. They are one-shot investments. Calculate AW2-1 assuming 15.9081 interest rate.
|
EOY |
Alternative 1 |
Alternative 2 |
|
0 |
- 23,285 |
- 40,075 |
|
1 |
3,963 |
1,000 |
|
2 |
3,963 |
1,800 |
|
3 |
3,963 |
2,600 |
|
4 |
3,963 |
3,400 |
|
5 |
3,963 |
4,200 |
|
6 |
5,000 |
|
|
7 |
5,800 |
|
|
8 |
6,600 |
In: Economics