valuation modeling 1.1
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Time Value of mon
1 Capital recovery or Instalment
Loan amount 100000Interest 0.09
Term 5
Instalment =PMT(Interest,Term,-PV !5,"09.!5
2 Amortisation schedule
Inst.no Principal Interest
0 100000 0.09
1 1#,"09.!5 9,000.00! 1$,!1%.0$ ",&9#.1"
% 19,$5!.!5 5,$5#.99
& !1,#%$.9# &,0"0.!9
5 !%,5$#.&# !,1!!."$
%a 'n initial loan of s. 100000 is )i*en to a customer +it te eplicit option for
te customer to repay principal anytime any amount. e*elop a mo/el to incorporate
tis payment a/ustin) te remainin) MI +itout can)in) te time perio/
Loan amount 100000
Tenue 5
Interest 0.1&
MI 2!9,1!$.%5
%3 In te same pro3lem, if te emi is to 3e retaine/ an/ te perio/ is to 3e a/uste/,
o+ +ill you can)e te mo/el4
Loan amount 100000
Tenure 5
Interest 0.1&
MI 2!9,1!$.%5
& Internal rate of return
Time cas flo+s
0 -1&00001 &0000
! &0000
% &0000
& &0000
5 #0000
=irr(cas flo+ ran)e
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5 Structuring of loan repayments
ost of te asset 100000
e6uire/ I 0.!
Term 5 years
Pattern of payments
1 0 0
1 0 1
1 1 0
1 1 1
1 1 0
Term P* of s.1 Pattern
0
1
!
%&
5
Total of PV of pattern
'mount to 3e reco*ere/
# Accelerated recovery
' company +ants a loan of 1000000, to 3e reco*ere/ in 5 instalments +it e*er
increasin) at a rate of $7. If te len/er8s I is 1! 7, so+ te reco*ery sce/
'mount of loan 1000000
ate of acceleration 0.0$Len/er8s I 0.1!
" ' company +ants to structure its repayment of te loan to its core ris, +ic is
3y te commo/ity price in/e. It +ants a loan !0 million to 3e repai/ in si instal
amount of instalment +ill *ary /epen/in) on te mo*ements in te commo/ity p
Te instalment +ill )o up or /o+n /epen/in) on te rate of /ecrease or increas
onstruct a mo/el to implement tis sceme
'mount of loan !000000
e6uire/ irr 0.15
term #
$ Net Present Value/I
year
0
1
!
%
&
5
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ost of apital
:et Present Value =np*(cost of capital,cas flo+ ran)e;initial in*estment
Internal ate of eturn =I(casflo+ ran)e
9 <ear asoutflo+s Inflo+s
0 -100000
1 -!5000 #0000
! -15000 &0000
% %0000
& %5000
5 %5000
# %0000
" !0000
ost of capital 0.15
:et present *alue(:PV
Internal rate of return(I10 ' ire purcase financier approaces you +it te follo+in) terms for financin) an ass
+ort s.100,000
>imple Interest o*er s.100,000
?or 1 year, 107
?or ! years, !07
?or % years, %07@e reco*ers te total amount (principal ; interest in e6ual montly instalments. Aat is
te effecti*e interest car)e/ 3y te financier in te % cases4
11 Te follo+in) /etails are )i*en +it reference to a proect
Proect as ?lo+s
<ear Butflo+s Inflo+s
0 (!00,000.00
1 (!5,000.00 #0,000.00
! (10,000.00 5#,000.00
% #5,000.00& "0,000.00
5 &0,000.00
# &0,000.00
" %0,000.00
$ %0,000.00
9 !0,000.00
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10 !1,000.00
B
:PV
I
etermine te follo+in) '. Te :PV at te follo+in) costs of capital
(i 1!7
(ii 1%7
(iii 1&.57
(i* 157
C. Te I assumin) te follo+in) initial in*estments
(i 1$0,000
(ii !!0,000
(iii !&0,000
(i* !#0,000:PV
iscount
1!.007
1%.007
1&.507
15.007
I :PV
In*estments
-1$0000
-!!0000
-!&0000-!#0000
1!.007 1%.007
-1$0000
-!!0000
-!&0000
-!#0000
1! MI(mo/ifie/ internal rate of return
ec te rein*estment assumption of I
0 -100000
1 &5000
! &9000% !0000
& %0000
5 !5000
I
MI
1% DI(Ene*en perio/ cas flo+s
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DI an/ D:PV
1-May-00 -100000
1-:o*-00 !5000
1-'pr-01 %0000
1-Bct-01 %5000
1-'pr-0! !&000
1-Bct-0! !0000
I
B 0.1
:PV
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y-applications
MI 2!,0"5.$&
Instalment !alance
100000
!5,"09.!5 $%,!90."5!5,"09.!5 #5,0"".#$
!5,"09.!5 &5,!!5.&!
!5,"09.!5 !%,5$#.&#
!5,"09.!5 0.00
1#7
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0 1
0 1
0 1
1 0
1 0
P* of pattern rosscec
instalment
le
easure/
ents 3ut te
ice in/e.
in te price in/e
asflo+ pattern
-100000
%0000
%5000
&0000
!5000
!5000
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0.1%
:etflo+s
-100000
%5000
!5000
%0000
%5000
%5000
%0000
!0000
t
0.1$
:etflo+s
(!00,000.00
%5,000.00
&#,000.00
#5,000.00"0,000.00
&0,000.00
&0,000.00
%0,000.00
%0,000.00
!0,000.00
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!1,000.00
0.10
1&.507 15.007
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Scenario Analysis
Te follo+in) /etails are )i*en +it reference to a proect
Proect as ?lo+s
<ear Butflo+s Inflo+s :etflo+s
0 (19",1$!.00 (19",1$!.00
1 (!0,000.00 &5,!"&.00 !5,!"&.00
! (10,000.00 5",%!!.00 &",%!!.00
% #5,000.00 #5,000.00
& "0,000.00 "0,000.00
5 &0,000.00 &0,000.00
# &0,000.00 &0,000.00
" %0,000.00 %0,000.00
$ %0,000.00 %0,000.00
9 !0,000.00 !0,000.00
10 !1,000.00 !1,000.00
B 0.10
:PV
Ionsi/er te follo+in) tree scenarios
>cenario-1 >cenario-! >cenario-%
In*estment -1$0000 -!05000 -!!0000
ost of capital 0.09 0.11 0.1&
?irst <ear as in flo+ #0000 5!000 &5000
>econ/ <ear as in flo+ #0000 5"000 5!000
Pro3a3ility 0.! 0.& 0.#
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3est case
Pa)e 1!
-1$0000
#0000
#0000
0.09
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+orst case
Pa)e 1%
-!!0000
&5000
5!000
0.1&