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3 Sheet and Answer Economics Ahmedawad

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AIN SHAMS UNIVERSITY FACULTY OF ENGINEERING New P h Engineering (Freshmen) -Fall 2009 Engi Economics (HUMN240) 2. Find the numerical value of the following factors by (a) interpolation and (b) using the appropriate formula: 1XF/P,6yo,23). ii) (P/A,16.3%,15) iii) (P/ G,12.7yo,20) ((iu)Iayc,23o ,3o) t.R\-, - \.-/ 3. How much money could you afford to spend in lieu of spending $40,000 five years from now if the interest rate 12Yo per year. 4. What is the future worth in25 years of$ 3000 at t : 0, $ 7500 att: 4 years, and $ 5200 at t : 12 years if the interest rate is 1.5o/o pet year. +, 5. If you are paying,g{f a loan of $10,000 by making equal year-end payments for 5 years, how much principle reduction will you get in (a) the second payrnent and (b) the last payment if the interest rate on the loan is 77Yo per year. 6. The receipts from certain mineral rights have been following a decreasing gradient for the past 4 years. The first receipt was $10,500 and the second one was $9800. (a) In how many years from now will the income stream go to zero? (b) What is the future worth (in the last year money is received) of the remaining series of receipts at an interest rate of llo/o per year. or the cash flow shown below, determine the value G that will make bquivalent annual worth equal to $800 at an interest rate of 20o/o per present value uSing interffra? I6o/op.t ytEil- - ear.
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Page 1: 3 Sheet and Answer Economics Ahmedawad

AIN SHAMS UNIVERSITYFACULTY OF ENGINEERINGNew P h Engineering (Freshmen) -Fall 2009Engi Economics (HUMN240)

2. Find the numerical value of the following factors by (a) interpolationand (b) using the appropriate formula:

1XF/P,6yo,23). ii) (P/A,16.3%,15) iii) (P/ G,12.7yo,20)((iu)Iayc,23o ,3o)t.R\-,- \.-/

3. How much money could you afford to spend in lieu of spending

$40,000 five years from now if the interest rate 12Yo per year.

4. What is the future worth in25 years of$ 3000 at t : 0, $ 7500 att: 4

years, and $ 5200 at t : 12 years if the interest rate is 1.5o/o pet year.

+, 5. If you are paying,g{f a loan of $10,000 by making equal year-end

payments for 5 years, how much principle reduction will you get in (a)

the second payrnent and (b) the last payment if the interest rate on the

loan is 77Yo per year.

6. The receipts from certain mineral rights have been following a

decreasing gradient for the past 4 years. The first receipt was $10,500 and

the second one was $9800. (a) In how many years from now will theincome stream go to zero? (b) What is the future worth (in the last year

money is received) of the remaining series of receipts at an interest rate ofllo/o per year.

or the cash flow shown below, determine the value G that will makebquivalent annual worth equal to $800 at an interest rate of 20o/o per

present value uSing interffra? I6o/op.t ytEil- -

ear.

Page 2: 3 Sheet and Answer Economics Ahmedawad

Year 0 I

. Cash Flow 0 $200 2

Then find the value of G if the future worth (4 ),ears) of the cash flow is$3000 at interest rate of lSoh per year.

8. Calculate the present worth of a geoiiietric series of payments whereinthe amount in year 1 is 500 and each succeeding amount increases byl\Yo per year. Use an interest rate I 5o/o per year and a 7 -yeat time period.

2 J 4

G 200 +LG 200+3G

Page 3: 3 Sheet and Answer Economics Ahmedawad

5-5f5

x 5.57t 5.3t+-5.s76

l6t

\"32+X- -0.07 E: -E.LZ i = 5 .?97

(l .lt\ ((

iil Q19 t? tt1 ,20)

tZ r ,7o.6xDt?.7 -tt - l-+o'l?q

-- l?'l --------* ++-gds - 12-t3 ++'1 ea-"-o-'f8E

j = (o:Xt-1$): tp-6il : *t.1627

7-1 T;;U" ) =

uL 1a/q,Lj'1,3dLo :--- +.87),,-.1 23-20

^^?.tr7329 : 3 q(\ ': :" s'q{\ +'w?

)r,. a( -osl =*,ezl . W5

( t 11 \- t

\ i ItTl )'-am- - J9-- - 4,1s1 S(l.ziltu -r

zzdg6lD -- +oc aq|L'ltrt?t/\) =

1c0ool 4.str+)

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Page 4: 3 Sheet and Answer Economics Ahmedawad

PAGEDATE

+ l* .P( t,t)'t

[, toocr {r I P,, rS r" t er)_i:lo4I /p, t b r,il) + 5 zlc', !tl?_,_Ut-L4-=3ooo €r.11 3l - ZB"" ( /8 .8 22, , 5 t1c,( 6 , lE3)

" $ Lg-1y-a

5

,LA "- Z(ln() -_tr6?5?-lt q 6io't4 - f! 3l ?6)

- 264o = V}C

- 4 -. J2:!: tE q<a,L7OO tt

F -rcfrlf]a *Llt , rr) - lrQo (f /c t 14/: tc \00 ( 3 tfu51:/O xeo (:t ,+( 5)

73v7 53,0 g

7' -4 .( -- '1L' I

)

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Page 5: 3 Sheet and Answer Economics Ahmedawad

PACEDATE

I

Socr+Vk-ro.'( - 0.r5

. $z; V 1"1

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