Answer:
$106,595
Explanation:
Given:
Initial market rate = 9%
Dropped market interest rate, r = 7% per year
or
= 7% × [6 ÷ 12]
= 3.5% = 0.035
Remaining time, n = 9 years = 18 semi annual periods
Now,
Value of the bond at the retirement
= [ PVAF × Interest payment] + [ PVF × face value]
here,
Present value of annuity factor, PVAF = 
or
PVAF = 
or
PVAF = 13.189
And,
Interest payment = $100,000 × 8% × [6 ÷ 12 ] [since, 8% bonds]
= $4000
Present value factor = 
= 0.538
par value = $100,000
= [13.189 × $40] + [0.538 × 100,000]
= 52,758.7316 + 53,836.114
= $106,595
Hence,
The correct answer is option $106,595
Answer:
Direct material used= $4,900
Explanation:
Giving the following information:
Beginning raw materials inventory $ 3,900
Raw materials purchases 5,400
Ending raw materials inventory 4,400
<u>To calculate the direct material used, we need to use the following formula:</u>
Direct material used= beginning inventory + purchases - ending inventory
Direct material used= 3.900 + 5,400 - 4,400
Direct material used= $4,900
Answer:
Explanation:
A point on U=800 is (5, 16)
From BL:
400*F+100D =4000
400*5+100*16 =3600<4000
Therefore u = 800 affordable.
U= 1200
F = 1200/10D
If D = 20
F = 1200/200
=6
Now from BL:
400*6+100*20= 2400+2000=4400>4000
Not affordable.
Maximization:
L = 10DF+ʎ[100*D+400*F – 4000]
Differentiating wrt D and F:
dL/dD = 10F + ʎ*100
dL/dF = 10D +ʎ*400
equating to zero;
ʎ= -F/10
ʎ=-D/40
equating the two:
F/10=D/40
D = 4F
From BL:
400*F+100*D = 4000
400F+100*4F = 4000
800F = 4000
F = 5
D = 4*5=20
Answer:<em><u>The preliminary cash balance at the end of August before any loan activity is: $3700</u></em>
Given :
Cash at the beginning = $17,200
Cash receipts anticipated = $121,200
Cash disbursements anticipated = $134,700
Answer:
Wenjing
The par value that would result in the return the bond broker promises is:
= $1,333.
Explanation:
a) Data and Calculations:
Bond amount paid = $2,000
Quarterly coupon payments = $40
Remaining coupon payments = 12
Bond maturity period = 3 years (12/4)
Promised returns per quarter = 3%
The implication is that the bond's annual interest rate = 12% (3% * 4 quarters)
Par value of bond = Quarterly premium/Quarterly returns in percentage = $1,333 ($40/0.03)
Check this out: 3% of $1,333 = $40
