Answer:
$77,217
$11,289
Explanation:
Fist we will calculate the present value of $10,000 payment
A fix Payment for a specified period of time is called annuity. The discounting of these payment on a specified rate is known as present value of annuity. The value of the annuity is also determined by the present value of annuity payment.
Formula for Present value of annuity is as follow
PV of annuity = P x [ ( 1- ( 1+ r )^-n ) / r ]
Where
P = Annual payment = $10,000
r = rate of return = 10% / 2 = 5%
n = number of period = 5 years x 2 semiannual payments per year = 10 payments
PV of annuity = $10,000 x [ ( 1- ( 1+ 0.05 )^-10 ) / 0.05 ]
PV of Annuity = $77,217
Now we will use the discounting method to calculate the present value of lump sum payment of $20,000
Present value = Future value x Present value factor
PV = FV x ( 1 + r )^-n
PV = $20,000 x ( 1 + 0.1 )^-6
PV = $11,289
Answer:
Loan amount = $184,193.95
Explanation:
Interest will remain same each year. Interest per year = 200,000*10% = $20,000
Installment $21,215.85
Less: Interest <u>$20,000</u>
Payment to Principal <u>$1,215.85</u>
Total principal repaid in 13 years = $1,215.85 * 13 years = $15,806.05
So, the principal left = $200,000 - $15,806.05 = $184,193.95
Answer:
Devil’s advocacy
Explanation:
Devil’s advocacy is a thorough analysis of a preferred alternative to check and test its strengths and weaknesses before being implemented with the purpose of identifying all the faults that might make the preferred alternative unacceptable.
This method helps in determining the dangers of any action taken by an individual or group of persons.
Answer:
1,370.85 Unfavorable
Explanation:
Standard rate
:
= Budgeted variable overhead costs ÷ Budgeted direct labor hours
= $13500 ÷ 640
Direct labor hours = $21.09 per direct labor hour
Standard time to produce goods
:
= Budgeted direct labor hours ÷ Production volume
= 640 ÷ 6,400
= 0.10 hours
VOH Efficiency Variance
= ( SH − AH ) × SR
where,
SH are standard direct labor hours allowed
AH are the actual direct labor hours
SR is the standard variable overhead rate
(SH − AH ) × SR
= [(4,200 × 0.10) - 485] × $21.09
= (420 - 485) × $21.09
= 1,370.85 Unfavorable
