问题 多项选择题

有一笔递延年金,前两年没有现金流入,后四年每年年初流入100万元,折现率为10%,则关于其现值的计算表达式正确的是()。

A、100×(P/F,10%,2)+100×(P/F,10%,3)+100×(P/F,10%,4)+100×(P/F,10%,5)

B、100×[(P/A,10%,6)-(P/A,10%,2)]

C、100×[(P/A,10%,3)+1]×(P/F,10%,2)

D、100×[(F/A,10%,5)-1]×(P/F,10%,6)

答案

参考答案:A, C, D

解析:

本题考核递延年金现值的计算。

终值:期数加1

现值:期数减1

本题中从第3年初开始每年有100万元流入,直到第6年初。选项A的表达式是根据“递延年金现值=各项流入的复利现值之和”得出的,“100×(P/F,10%,2)”表示的是第3年初的100的复利现值,“100×(P/F,10%,3)”表示的是第4年初的100的复利现值,“100×(P/F,10%,4)”表示的是第5年初的100的复利现值,“100×(P/F,10%,5)”表示的是第6年初的100的复利现值。

选项B是按照教材中介绍的第二种方法计算,其中的n表示的是等额收付的次数,即A的个数,本题中共计有4个100,因此,n=4;但是注意,第1笔流入发生在第3年初,相当于第2年末,而如果是普通年金则第1笔流入发生在第2年末,所以,本题的递延期m=2-1=1,因此,m+n=1+4=5,所以,选项B的正确表达式应该是100×[(P/A,10%,5)-(P/A,10%,1)].选项C和选项D是把这4笔现金流入当作预付年金考虑的,100×[(P/A,10%,3)+1]表示的是预付年金在第3年初的现值,因此,计算递延年金现值(即第1年初的现值)时还应该再折现2期,所以,选项C的表达式正确;100×[(F/A,10%,5)-1]表示的是预付年金在第6年末的终值,因此,计算递延年金现值(即第1年初的现值)时还应该再复利折现6期,即选项D的表达式正确。

单项选择题 A1型题
阅读理解

Tracking Stations

One night in February 1962, John H. Glenn, Jr., flew over Australia. The man in the Mercury(水星)capsule(宇宙飞行容器)was alone, but friendly voices reached him by radio. Over the dark land 100 miles below, he saw sparkling lights.  It marked the city of Perth, where people had turned on their lights as a greeting to him.

"In Friendship 7," Glenn radioed, "the lights show up very well. Thank everybody for turning them on." His capsule needed on to the east.

During his three orbits of the earth, Glenn could always reach one of the eighteen tracking stations. Some of them were on ships at sea. Others were in the United States.

Many of the stations had been built with the help of other countries. These countries allowed Americans to bring in radio equipment and set it up. Without the help of such lands as Nigeria, Zanzibar, and Mexico, there would have been breaks in the worldwide radio network. John Glenn, Jr., was the first American to orbit the earth. For his flight, the tracking network(跟踪网络)covered 60,000 land or statute miles(法定英里). Five hundred men worked in the stations along the route. Since his flight, the network has grown. Today, it covers more than 100, 000 statute or land miles and has about one hundred stations. One-third of these stations are outside the United States.

66.This passage is mainly about________.

A.talking to ships at sea around the world

B.breaks in the worldwide network

C.the first American to orbit the earth

D.a satellite which fell into the ocean

67.From the passage we can see that________.

A.Friendship 7 stopped in Perth, Australia

B.all tracking stations are inside the United States

C.radio equipment is important in space flight

D.many people could see Glenn in his capsule when he made the flight

68.During his flight Glenn could always________.

A.see lights turned on the ground      B.reach ships at sea

C.reach one of the tracking stations    D.arrive at Mercury in his Friendship 7

69.Why did people in Perth turn on the lights?

A.They wanted to guide him to land.

B.It was too dark for them to see in the room.

C.They wanted to see the Friendship 7.

D.They wanted to greet Glenn.

70.Which of the following is NOT true?

A.Countries must work together to track satellites.

B.There are now about 30 tracking stations outside the United States.

C.The tracking network covers many more statute miles now than before.

D.Nobody has orbited the earth except Glenn.