Question1问题1
你想在大学毕业三年后到欧洲去拜访亲戚。该行预计将耗资10000美元,当时。你的父母已经为你存了5000美元,你在一个支付6%利息,每年三年,从现在开始。希尔达阿姨已经同意资助这个平衡。如果你打算把希尔达阿姨的礼物放在三年的投资收入10%,那么她现在要存多少钱,那么你可以在三年后拜访你的亲戚吗?
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?
由于希尔达阿姨所需的财政平衡,那么旅行未来支出10000美元应同等存款的总和一样,因为父母存了5000美元在描绘成熟的三年期结束。
一段时期的结束是下一个时期的开始,所以
FV(现金流出)= PV(现金流入);
根据未来的价值制定,
10000美元= 5000元×(1+6%)3+1
1 = 4044.92美元
父母的未来价值的沉积需要4044.92美元
未来的价值是一个活期存款将增加一个固定的时间,同时支付复合利息。当提到的问题,我要把阿姨的礼物hilida投资收益10%在接下来的三年,这意味着在我三年的投资回报每年利率将达到10%所以我应该知道需求沉积的现值金额。Due to Aunt Hilda required finance balance, so the trip future expenditure $10,000 should be the same with equivalent deposit sum, because the parents deposited $5,000 at the end of the period depicted on maturing threes years.
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
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