Answer:
The manufacturer should announce a guaranteed mileage of 44528 miles
Explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What guaranteed mileage should the manufacturer announce
Only until the 5th percentile will have to be replaced, which is the value of X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
The manufacturer should announce a guaranteed mileage of 44528 miles
Answer:
The correct answer is A. Both Laura and Cassie are correct.
Explanation:
Since Laura says that the present value of $ 700 to be received one year from today if the interest rate is 6 percent is less than the present value of $ 700 to be received two years from today if the interest rate is 3 percent, and Cassie says that $ 700 saved for one year at 6 percent interest has a smaller future value than $ 700 saved for two years at 3 percent interest, to determine who is right, the following calculations must be performed:
700 x 1.06 = 742
700 x 1.03 ^ 2 = 742.63
Therefore, both Laura and Cassie are correct in their claims.
Answer:
a.
3.51%
b.
0%
Explanation:
a.
First, we need to calculate the YTM of 6 months zero-coupon bond by using the following formula
Price = Face value / ( 1 + YTM )^numbers of years
96.79 = 100 / ( 1 + YTM )^1
1 + YTM = 100 / 96.79
1 + YTM = 1.0331646
Now calculate the YTM of 1 Year zero-coupon bond
93.51 = 100 / ( 1 + YTM )^1
YTM = 1.0331646 - 1
YTM = 0.0331646
YTM = 3.31646%
YTM = 3.316%
1 + YTM = 100 / 93.51
1 + YTM = 1.06940
YTM = 1.06940 - 1
YTM = 0.06940
YTM = 6.940%
YTM = 6.94%
Hence the forward rate is calculated as follow
Forward rate = [ (1 + YTM of 1 year zero coupon bond ) / ( 1 + YTM of 6 months year zero coupon bond ) ] - 1 = ( 1 + 6.94% ) / ( 1 + 3.316% ) = [ 1.0694 / 1.03316 ] - 1 = 1.03508 - 1 = 0.03508 = 3.508% = 3.51%
b.
At the time of inception the formward rate is 0.
Answer:
Wang Company
Statement of financial position
Equity and liabilities
Issued share capital $70,000
Retained earnings $45,000
115,000
Assets
Non-Current assets
Fixed assets $22,000
Current assets
Cash in hand $93,000
$115,000
Wang company
Income statement
Net sales $88,000
Cost of sales $38,000
Gross margin $50,000
Less:admin expenses $5,000
Net Profit $45,0000
Answer:
Option (D) is correct.
Explanation:
Given that,
Dividend, D0 = $0.90
Price, P0 = $27.50
Growth rate, g = 7.00% (constant)
D1 = D0 (1 + g)
= $0.90 × (1 + 0.07)
= $0.90 × 1.07
= $0.963
Cost of equity, Ke = [ D1 ÷ P0 ] + g
= [$0.963 ÷ $27.50 ] + 0.07
= 0.0350 + 0.07
= 0.1050 i.e 10.50 %
