Answer:
The equivalent present worth of the series is $4,182.21
Explanation:
Fix periodic payments for a specific period of time are annuity payment and the payments made at the start of each period is known as advance annuity.
As per given data
Inflation per year = 18.3% / 5 = 3.66%
numbers of period = 5 years
Payment per period = $897.63
Use following formula to calculate the present value of annuity payments
PV of annuity = P x ( 1 - ( 1 + r )^-n / r
Where
P = Payment per period = $897.63
r = rate in of interest = 3.66%
n = numbers of periods = 5 years
Placing values in the formula
Equivalent present worth of the series = $897.63 + $897.63 x ( 1 - ( 1 + 3.66% )^-(5-1) / 3.66% )
Equivalent present worth of the series = $4,182.21
Answer:
Missing word <em>"a. What must the six-month risk-free rate be in Japan"</em>
<em />
a. Spot rate = 1 US $ = 1.2377 Aus.dollar
Forward rate = 1 US $ = 1.2356 Aus.dollar
<u>1.2356</u> = <u>(1 + i Ad)</u>
1.2377 (1 + 0.05)
0.9983 * (1.05) = 1 + i.Ad
1.048215 = 1 + i.Ad
i.Ad = 1.048215 - 1
i.Ad = 0.048215
i.Ad = 4.82%
b. Spot rate = 1 US $ = 100.3300 Japan Yen
Forward rate = 1 US $ = 100.0500 Japan Yen
<u>100.0500</u> = <u>(1 + i Ad)</u>
100.3300 (1 + 0.05)
0.9972 * (1.05) = 1 + i.Ad
1.04706 = 1 + i.Ad
i.Ad = 1.04706 - 1
i.Ad = 0.04706
i.Ad = 4.71%
Answer and Explanation:
The computation of the service level and the corresponding optimal stocking level is shown below:
Given that
Selling price = SP = $4.50
Cost price = CP = $3.00
So,
Salvage value = V = $1.50
Average daily demand (d) = 35 quarts
The standard deviation of daily demand = 4 quarts
based on the above information
Overage cost = (Co) is
= CP - V
= $3.00 - $1.50
= $1.50
Now
Underage cost= (Cu)
= SP - CP
= $4.50 - $3.00
= $1.50
So,
Service level is
= Cu ÷ (Co + Cu)
= 1.50 ÷ (1.50 + 1.50)
= 1.50 ÷ 3.00
= 0.50
= 50%
Now
At 50 % service level, the value of Z is 0
So,
Optimal stocking level is
= d + Z × standard deviation
= 35 + (0 × 4)
= 35 + 0
= 35 quarts
