Answer:
The invoice price of the bond will be $100,127.88
Explanation:
Bonds are nothing but the debt instrument which a company uses to raise capital from the general public, these bonds can be of both short and long term period.
In the question it is given that bond has a coupon period of 182 days which means the bond is of short term period. Coupon rate of 7% means the bond gives the interest of 7% to its holder semiannually every year on January 15 and July 15.
It is given that the ask price for the bond on January 30 is 100.125 percent on par value of the bond which we are assuming to be $1000, which means the ask price is
$1000 X 100.125 = $100,125 ( ASK PRICE)
now we have to calculate the interest, remember the semiannually payment of interest has already been made on January 15 which means we have to find interest for only 15 days which will be taken out on par value
INTEREST = $1000 x 7% x 15 / 30
= $1000 x .07 x 1/ 2
= $35
INVOICE PRICE = INTEREST X \frac{TOTAL \: NUMBER \: OF \: DAYS}{COUPON \: PERIOD} + Ask price
= $35 X 15 / 182
= $2.884
Now adding this amount in to ask price
$100,125 + $2.884
= $100,127.88 ( INVOICE PRICE)
Answer:
2 Days
Explanation:
First, there is the need to rewrite the utility function for clarity
U=V^{1/2}
1. The Probability of Falling ill by someone in the family is given as 20%
2. If someone should fall ill, the total number of days that would be spoiled is calculated as:
Total number of vacation= 10 days x Probability to fall ill = 20%
= 10 x 0.2 = 2 days
This means if someone should fall ill based on the probability, then 2 out of the total 10 days can be ruined
3. The number of days for vacation days to enjoy is 10-2 = 8 days
This means if the family gives up 2 days of probable illness, they can still enjoy their vacation.
V= 2 days
Answer:
$33,648.57
Explanation:
The computation of Required deposit today is given below:-
For computing the required deposit today first we need to find out the present value
Present value of 1 = (1 + i)^-n
= (1 + 0.02)^-20
= 0.67297133
Where, i = 8%/4
= 0.02
n = 5 × 4
= 20
Required deposit today = Future value × Present value of 1
= $50,000 × 0.672971
= $33,648.57
Answer:
Explanation:
Given:
Today:
Number of printers = 6
Work duration = 12 hours
Tomorrow:
Work duration = 8 hours
At the same rate of printing,
If 6 printer were used to print newspapers for 12 hours.
Only 1 printer will work for 12 × 6 hours at the same rate
But is the printers were 8, (12 × 6)/8
= 9 printers.
Initial number of printers = 6 printers
Additional printers to be purchased = 9 - 6
= 3 printers
<u>PART A:</u>
The government has voted for budget neutral tax cut policy in order to avoid the enhancement in the deficit. Thereby, government spending will be reduced by an amount of $8 billion.
<u>PART B:</u>
The calculation for fall in GDP is as follows:
Multiply with change in government expenditure,
Thus, if the government expense is reduced by $8 billion then fall in GDP is by $53.33 billion
<u>EFFECT ON GDP DUE TO REDUCTION OF TAX:</u>
Multiply with change in tax,
Thus, when the taxes are reduced by $8 billion, then GDP shows an increase by $45.33 billion.
Therefore, change in equilibrium level of real GDP = -$8 billion ( -53.33 billion + 45.33 billion).
