Answer: arithmetic Average Return =11.33%
Geometric Average Return=10.33%
Explanation:
Returns per year
Year 1 16%
year 2 23%
year 3 15
year 4 -11%
year 5 30 %
year 6 -5%
Total = 68%
Arithmetic Average = Total returns 0f ( year 1 -6) / number of years
= 68%/6 =11.33%
Geometric Average Return is given as
= ((1 + R1) × (1 + R2) × ... × (1 +Rn))(1/n) - 1
((1 + 16%) × (1 + (23%)) × (1 + 15%) x (1+ -11%) x (1+30%) x (1+ -5%))^1/6 - 1
((1.16 x 1.23 x 1.15 x 0.89 x 1.30 x (0.95)) ^1/6
((1.16 x 1.23 x 1.15 x 0.89 x 1.30 x 0.95)) ^1/6 -1
(1.8035073 )^1/6 - 1
= 1.10328 -1 = 0.10328 x 100 = 10.328% =10.33%
Suppose $250,000 is used to establish an annuity that earns 6%, compounded quarterly, and pays $6000 at the end of each quarter. It will take about 120 quarters until the account balance reaches $0.
Amount invested (Present value) = $250000
Quarterly payment (At the end of each quarter) (P) = $4500
Interest Rate (Quarterly) (r) = 6% /4
= 1.5% = 0.015
A number of quarters (n) = ?
Future value at the end = 0
Present value of Annuity formula:
Present value = P × 
250000 = 4500 × 
250000 = 300000 × 
250000 / 300000 = 
0.83333 = 
n = 120
Hence is shall take 120 Quarters until the account balance is $0.
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Answer: This can be explained as follows:-
Explanation: MCdonalds change in menus and adding more healthy choices does brings change in the traditional value chain of the company.
In traditional times company was mainly focused towards the taste of the product and to make the service as fast and as efficient as possible but now the company is taking care of the health of its customers. Company wants to attract new customer base of health conscious people. In traditional times company's aim was to make quick service to get the tables ready every time a customer walks in but today company wants to make the restaurant a place where people can sit and enjoy their meal for a while and company is taking help of technology in this.
