Assignment # 1
MTH302 (Spring 2010)
Question 1:
Solution:
Basic Salary = 2,000
House Rent = 900
Utility Allowance= 200
Gross Salary =2000+900+200 = 3100
BENEFITS | $ | Percent of Basic/Gross Salary |
House Rent | 900 | 900 x 2000 x 100 = 45% |
Utilities Allowance | 200 | 200/2000*100 = 10% |
Medical/Group insurance | 155 | 155/3100*100 = 5% |
Miscellaneous Social Charges | 186 | 186/3100*100 = 6% |
Question 2:
Solution:Formula:
Change = Final value – initial value
Percentage change = (Change / initial value) x 100%
Change = 70- 76 Change = -6
Percentage change = (-6/ 76) x 100
Percentage change = -7.8947%
Question 3:
.Solution:P = Principal= 800
r = Rate of interest= 8% = 0.08
n = Number of periods = 3*2= 6 years (Semi annually)
Formula:
Compound interest = S – P
S = P (1 + r/2) ^ n*2
S = P (1 + r/2) ^ n*2
S = 800 (1 + 0.08/2) ^ 3*2
S = 800 (1 + 0.04) ^ 6S = 800 (1.04) ^ 6
S = 1012.255
Compound interest = 1012.255 - 800
Compound interest = 212.255 Ans.
Question 4:
Solution:
Cash flow per period = 500
i = interest rate = 8% = 0.08
n = number of payments = 3
Formula:Accumulated value of n period = payment per period × accumulation factor for n Periods
Accumulated value of n period = C* [(1+i) ^n – 1]/i
= 500* [(1+0.08) ^3 – 1]/0.08
= 500* [(1.08) ^3 – 1]/0.08
= 500* [1.259712 – 1]/0.08
= 500* [0.259712]/0.08
= 500* 3.2464
=1623.2
Accumulated value of n period = 500 × 3.2464
Accumulated value of n period = 1623.2 Ans.
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