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Question1问题1

You want to travel to Europe to visit relatives when you graduate from college three years from now. The trip is expected to cost a total of \$10,000 at that time. Your parents have deposited \$5,000 for you in a CD paying 6% interest annually, maturing three years from now. Aunt Hilda has agreed to finance the balance. If you are going to put Aunt Hilda’s gift in an investment earning 10% over the next three years, how much must she deposit now, so you can visit your relatives at the end of three years?

FV（现金流出）= PV（现金流入）；

10000美元= 5000元×（1＋6%）3＋1
1 = 4044.92美元

The end of one period is the same as the beginning of the next period, so
FV(cash outflow) =PV(cash inflow);
According to the future value formulation,  , so,
\$10,000 = \$5,000*(1+6%)3 +FV1
FV1= \$4,044.92
The future value of parents deposition is required to \$4,044.92
Future value is the amount to which a current deposit are going to increase over a constant period of time while paying compound interest. As the question mentioned, I am going to put Aunt Hilida’s gift in an investment earning 10% over the next three years, which means in three years my investment annually interest rate of return will arrive at 10% so I should know the amount of the present value of requirement deposition.
Based on the formulation,
PV= \$4,044.92/ (1+10%)3 = \$3,039.01
So \$ 3,039.01 she should be deposited now that I can visit her at the end of three years.
Question 2
Consider the following two mutually exclusive projects
Year Cash Flow (A) Cash Flow (B)
0 -54,000 -23,000
1 12,700 11,600
2 23,200 11,200
3 27,600 12,500
4 46,500 6,000

The company requires a return of 14% on the investment

A) which project should the company choose based on payback period and why?
When a company budget the capital, payback period is defined to the period of time required to recover the initial expenditure to get the break-even point.(Paul W. et al., 2010)
Using the formulation to present PB is
Project A: 3+(\$54,000-\$12,700-\$23,200-\$27,600/\$5,4000)=2.8 years
Project B: 3+(\$23,000-\$11,600-\$11,200-\$12,500/\$23,000)=2.5 years
The method of payback period is the basic aspect of considering whether the investment projects can recover the initial cost. From the result we can see that the project A payback period is 2.8 years while project B is 2.5 years, used less time to recover the initial investment. So based on methods of payback period project B should be selected as the investment i论文英语论文网提供整理，提供论文代写英语论文代写代写论文代写英语论文代写留学生论文代写英文论文留学生论文代写相关核心关键词搜索。

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