Computer Technology MSIS 22:198:605 Homework 1

Transcription

1 Compute Techology MSIS 22:198:605 Homewok 1 Istucto: Faid Alizadeh Due Date: Moday Septembe 30, 2002 by midight Submissio: by See below fo detailed istuctios) last updated o Septembe 27, 2002 Rules: Please ote the followig ules: 1. Assigmets should be ed o o befoe the day ad time they ae due. 2. Late submissio will esult i loss of 25% of the poits. 3. vey impotat: It is ot possible to pass this couse if you miss moe tha oe pogammig assigmet egadless of you scoes i othe assigmets o exams. 4. All pogammig pojects should be submitted by . Put all the files icludig all the.java ad all the.class ad possible iput o output files i a sigle.zip file. The file ame should be i the followig fomat: LastameFistameHWo.zip. Fo example a studet amed Joh Smith submittig Home wok umbe 1 will have his file amed: SmithJohHw1.zip. To get a zip achive file you ca fo istace dowload the PkZip softwae fom You should you code as a attachmet to me at alizadeh@adomeda.utges.edu, with subject lie MSIS605 HW2, exactly. Ay deviatio fom this may esult i delay i gadig you home wok. 5. Evey class that you defie must be stated with a commet that idicates you ame, studet ID umbe, the home wok umbe ad you addess. Fo istace if Joh Smith is tuig home wok umbe 1 ad as pat of his home wok he has defied a class amed ivest the this class will look somethig like this: class ivest{ 1

2 Homewok 1 Due date: 9/30/02 // Name: Joh Smith // Studet ID: // Home wok o 1 // smith@somemachie.utges.edu... the est of the pogam... 2

3 Homewok 1 Due date: 9/30/02 Calculatig ivestmet paametes The mai pupose of this assigmet is to wite a Java pogam that calculates vaious etities associated with a ivestmet. Hee ae the paametes you eed to wok with: 1. pv: is the peset value. It efes to the amout ivested ow. If you ae the ivesto o the lede, this umbe is egative. Thus if you ae ae ledig some oe $1000, the pv = is the aual ate of etu o the ivestmet. 3. is the umbe of peiods i a yea. If the iteest ate is compouded aually the = 1; if quately the = 4; if mothly the = 12, ad so o. 4. Pe is the total spa of the ivestmets i peiods. Thus if the spa of ivestmet is 3 yeas ad iteest is compouded quately the Pe = 3 4 = pmt is the peiodic cash flow; this umbe is positive fo the ivesto o lede, ad egative fo the boowe. 6. fv is the futue value. This is the value of the ivestmet at the ed, that is afte Pe peiods. It is positive fo the lede ad egative fo the boowe. These etities ae elated to each othe via the fomula fv = pv 1 + The Pogam ) Pe pmt 1 + ) ) Pe 1. 1) You job is to wite a sigle class amed ivest with seveal methods as follows: 1. the fist method is static void getfv){ I this method you should pogam the fomula give above ad calculate ad set the futue value fv. You may assume that all othe ecessay vaiables ae aleady set ad oly the fv is ukow. The oly issue is that i the fomula you eed to aise a umbe to the powe of aothe umbe. I Java to i ode to calculate x = a b oe eeds to call the pow method of the Math class aleady available o Java stadad API: 3

4 Homewok 1 Due date: 9/30/02 x=math.powa,b); It would be much bette to save itemediate esults i auxiliay vaiables. Fo istace you may save the esult of 1 + ) Pe i a auxiliay vaiable, say tmp. The simply calculate fv = pv tmp pmt tmp 1). 2. The secod method is static void getpmt){ Fom the fomula above we ca get a fomula fo pmt: pmt = fv + pv ) Pe ) Pe 1 ) 2) You method must use this fomula ad calculate the peiodic paymet. 3. The thid method is static void getpv){ Agai the Fist fomula ca be used to fid peset value i tems of othe etities: [ ) )] Pe fv + pmt pv = ) Pe 3) The foth method is static void getnpe){ Hee we fist set tmp = 1 + ) Pe The solvig fo tmp we get tmp = pmt pmt fv + pv 4

5 Homewok 1 Due date: 9/30/02 The use the followig fomula to get Pe: Pe = logtmp) log ) 1 + Agai to use the log fuctio you eed to ivoke the log method of the Math class i Java. Thus x = logy) is witte as x=math.logy); Also Pe is supposed to be a itege ad the esult of the above calculatio is ot by ay meas guaateed to be a itege. To alleviate this poblem we fist oud up the esult usig the fuctio Math.ceila). The esult is a double. Fo istace Math.ceil3.2) is the double value 4.0. To tu this ito a itege you eed to cast it ito itege: it)4.0 which esults i it value Fially you eed to wite the mai method. Fo this assigmet the mai method has to solve fou diffeet poblems ad output the esults. You may code all fou poblems i the mai method oe afte aothe. Hee ae the fou poblems: i. A fim ivests $3,000,000 i a savigs accout i a bak fo thee yeas. The aual ate of iteest is 4.25% ad the iteest is compouded quately. How much moey is i the accout at the ed of the thid yea? The mai pogam should output the esult with a pitl statemet. ii. A couple wishes to buy a house at $250,000. The bak equies that 20% of the pice be paid i cash ad the est is fiaced o thity yea loa at 6.125% aual ate comouded mothly. You mai pogam should do the ecessay calculatios ad fid the mothly paymet the couple has to pay to bak. iii. Aothe couple has just stated shoppig fo a ew ca ad they kow they ca affod at most $500 a moth. The best aual iteest ate available to them is 6% aual ate compuded mothly. The mai method should detemie ad pit the amout they ca boow fo a yea 5 yea loa. iv. A etiee has $700,000 saved. He wats to ivest this moey i a cetificate of deposit CD) payig 4.75% aual iteest compouded mothly. The etiee expects to get $5,000 a moth ad would like to be left with $300,000 whe he closes the accout. Fo how may moths should he leave his moey o this CD? 5