Em Methods of project appraisal 55 mins

Transcription

1 Em Methds f prject appraisal 55 mins 19.1 building sciety adds interest mnthly t investrs' accunts even thugh interest rates are expressed in annual terms. The current rate f interest is 6% per annum. n investr depsits $1,000 n 1 January. Hw much interest will have been earned by June? $.00 $.3 $60.00 $0 (2 marks) 19.2 ne-year investment yields a return f 15%. The cash returned frm the investment, including principal and interest, is $2,070. The interest is I': "".:.: i'i :' i L $250 $270 $0 $ (2 marks) _. ---,,--_._..._ -."-.._ _ If a single sum f $12,000 is invested at % per annum with interest cmpunded quarterly, the. amunt t which the principal will have grwn by the end f year three is apprximately $15,117 $9,52 $15,219 $,924 (2 marks) _--_.._-_...._--_,,--_ 19.4 Which is wrth mst, at present values, assuming an annual rate f interest f %? $1,200 in exactly ne year frm nw $1,400 in exactly tw years frm nw $1,600 in exactly three years frm nw $1,00 in exactly fur years frm nw (2 marks) 19.5 bank ffers depsitrs a nminal 4% pa, with interest payable quarterly. What is the effective annual rate f interest? 1% 4% 1.025% 4.06% (2 marks) 19.6 prject requiring an investment f $1,200 Is expected t generate returns f $400 in years 1 and 2 and $350 in years 3 and 4. If the NPV = $22 at 9% and the NPV = -$4 at 10%, what is the IRR fr the prject? 9.15% 9.5% 10.15% 10.5% (2 marks) i I i "I i 19.7 sum f mney was invested fr 10 years at 7% per annum and is nw wrth $2,000. The riginal amunt invested (t the nearest $) was $1,026 $1,016 $3,937 $14,04 (2 marks) ; : 72

2 19. Huse prices rise at 2% per calendar mnth. The annual rate f incre,lse crrect t ne decimal. place Is 24% 26.% 12.7% 12.2% (2 marks) 19.9 Find the present value f ten annual payments f $700, the first paid immediately and discunted at %, giving yur answer t the nearest $. $4,697 $1,050 $4,435 $5,073 (2 marks) n investr Is t receive an annuity f $19,260 fr six years cmmencing at the end f year 1. It has a present value f $6,400. The rate f interest (t the nearest whle percent) is 4% 7% 9% 11% (2 marks) Hw much shuld be invested nw (t the nearest $) t receive $24,000 per annum in perpetuity if the annual rate f interest is 5%? $1,200 $25,200 $120,000 $40,000 (2 marks) The net present value f an investment at 12% is $24,000, and at 20% is -$,000. What is the internal rate f return f this investment? 6% 12% 16% 1% (2 marks). ' State yur answer t the nearest whle percent. i_ The fllwing data is relevant fr questins and iamnd Ltd has a payback perid limit f three years and is cnsidering investing in ne f the fllwing prjects. th prjects require an initial investment f $00,000. ash inflws accrue evenly thrughut the year. Prject lpha ash inflw $ 1 250, , , , , ,000 The cmpany's cst f capital is 10%. Prject eta ash inflw $ 1 250, , , , , ,000 73

3 ~;::. 2 years and 2 mnths 2 years and 4 mnths 2 years and 5 mnths 2 years and 6 mnths (2 marks) What is the discunted payback perid f Prject ipha? etween 1 and 2 years etween 3 and 4 years etween 4 and 5 years etween 5 and 6 years (2 marks) capital investment prject has an,initial investment fllwed by c:;n,fitant,annual returns. Hw is the payback perid calculated? Initial investment + annual prfit Initial investment + annual net cash inflw (Initial investment - residual value) + annual prfit (Initial investment - residual value) + annual net cash inflw (2 marks) machine has an investment cst f $60,000 at time O. The present values (at time 0) f the expected net cash inflws frm the machine ver its useful life are: iscunt rate 10% 15% 20% Present value f cash inflws $64,600 $5,200 $52,100 What is the internal rate f return (lrr) f the machine investment? elw 10% etween 10% and 15% etween 15% and 20% Over 20% (2 marks) n investment prject has a psitive net present value (NPV) f $7,222 when its cash flws are discunted at the cst f capital f 10% per annum. Net cash inflws frm the prject are expected t be $1,000 per annum fr five years. The cumulative discunt (annuity) factr fr five years at 10% is What is the investment at the start f the prject? $61,016 $6,23 $75,460 $2,77 (2 marks)!.i 74

4 19.1 The fllwing statements relate t an investment prject that has been discuf1te~ ~frates bf ~d~~;~'~::\:k' 20%:..,.,..,:.:.»,... ',.:: 1. The discunted payback perid at 10% will be lnger than the discunted payback perid' at 20%. ' 2. The discunted payback perid at 20% will be lnger than the discunted payback perid at 10%. 3. The nn-discunted payback perid will be lnger than the discunted payback perid. 4. The nn-discunted payback perid will be shrter than the discunted payback perid. Which f the statements are true? 1 and 3 1 and 4 2 and 3 2 and 4 (2 marks) Which f the fllwing accurately defines the internal rate f return ORR)? The average annual prfit frm an investment expressed as a percentage f the investment sum The discunt rate (%) at which the net present value f the cash flws frm an investment is zer The net present value f the cash flws frm an investment discunted. at the required rate f return The rate (%) at which discunted net prfits frm an investment are zer (2 marks) n investment prject has the fllwing discunted cash flws ($'000): % iscunt rate 10% ]' 20% (12.3) The required rate f return n investment is 10% per annum. What is the discunted payback perid f the investment prject? Less than 3.0 years 3.0 years etween 3.0 years and 4.0 years Mre than 4.0 years (2 marks) What is the effective annual rate f interest f 2.1 % cmpunded every three mnths? 6.43%.40%.67% 10.7% (2 marks) If the interest rate is %, what wuld yu pay fr a perpetuity f $1,500 starting in ne year's time? (t the nearest $) $1.620 $17,1 $1,750 $20,370 (2 marks) 75

5 19.23 Hw.muchshuld be invested nw (t the nearest $)<t receive $24,000 per annum in perpetuity if the annual rate f interest is 5%?,,',, $1,200 $47,00 $40,000 '$4i,20d (2 marks) (Ttal = 46 marks),'1.! :.,j 'j... ' 76