ANAL 2023 EX0 1 a 3
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Catégorie :Category: nCreator TI-Nspire
Auteur Author: MALEKATOR
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 2.98 Ko KB
Mis en ligne Uploaded: 16/12/2024 - 22:52:55
Uploadeur Uploader: MALEKATOR (Profil)
Téléchargements Downloads: 3
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4412212
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 2.98 Ko KB
Mis en ligne Uploaded: 16/12/2024 - 22:52:55
Uploadeur Uploader: MALEKATOR (Profil)
Téléchargements Downloads: 3
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4412212
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
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EXO 1: Given the following cash flows for project Alpha Gamma:( year 0 cf=-2500 / year 1 cf=600 / year 2=720 / year 3 cf=2000 / year 4 cf=2250. Calculate the discounted payback period for the project at a discount rate of 20% Provide your answer in the corresponding unit and use 2 decimal digit Calculate the discounted payback period for the project at a discount rate of 20% Provide your answer in the corresponding unit and use 2 decimal digits. 2 STEP: Discount the cash flows using the given discount rate of 20% for each year.(Accumulate the discounted cash flows until they sum to zero or become positive, then calculate the point in time where the initial investment is fully recovered.(We use the formula for discounting each cash flow: CFt :the cash flow in year(r: is the discount rate (20% or 0.20),(t :is the year number((Discounted CFt= CFt / (1+r)^t On calcul pour chacun avec la formule et Discounted CF4=1085.53 Accumulate the discounted cash flows : Now, we accumulate the discounted cash flows year by year: Cumulative CF after Year 0: -2500 Cumulative CF after Year 1: -2500 + 500 = -2000. C.umulative CF after Year 2: -2000 + 500 = -1500 . Cumulative CF after Year 3: -1500 + 1157.41 = -342.59 Cumulative CF after Year 4: -342.59 + 1085.53 = 742.94(The discounted payback period occurs between Year 3 and Year 4, because by the end of Year 3, the cumulative discounted cash flow is still negative (-342.59) Fraction of year 4=remaining account to recover/Discounted CF4 = 342.59/1085.53=0.315 + 3 years=3.32 years ----------------------------------------------------------------- EXO2 : Assume that EDHEC is a company listed on the London Stock Exchange and its ownership is divided into 1 milion shares. EDHEC just paid a dividend of ¬5, and that dividend is expected to grow constantly in the future at the rate of 4%. What would be the EDHECs' market share price assuming the shares are traded in the market where investors require 9% annual return? ( we can use the Dividend Discount Model (DDM), also known as the Gordon Growth Model. (The formula for the price of the stock : P0= D1/ (r-g) (Where: P0 = Price of the stock today, D1 = Dividend in the next period (year) , r = Required rate of return (9% or 0.09), g = Dividend growth rate (4% or 0.04).(Calculate D1 the dividend in the next period he company just paid a dividend of ¬5, and it is expected to grow at 4% annually. To find : D1= D0*(1+g). D1=5*(1,04)= 5.2(Apply the Gordon Growth Model: P0= 5.2 / (0.09-0.04) = 104 (----------------------------------------------------------------- EX03: A company plans to put ¬90.000 each month over the next 120 months into a bank account which offers a 0,5% monthly rate (first payment in exactly 1 month in January(2024). How much will it possess on this bank account after the 120* payment given Prat it wit just put ¬50,000 rather than ¬90,000 in January 2025, If you choote to round your intermediate computations, do it to 2 decimals place. (Note, In this question, the period is the month and so you are given he monthly interest rate. Do not change the unit in years. ( We cherch future value: Fv=P* ((1+r)^n - 1) / r Made with nCreator - tiplanet.org
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Compatible OS 3.0 et ultérieurs.
<<
EXO 1: Given the following cash flows for project Alpha Gamma:( year 0 cf=-2500 / year 1 cf=600 / year 2=720 / year 3 cf=2000 / year 4 cf=2250. Calculate the discounted payback period for the project at a discount rate of 20% Provide your answer in the corresponding unit and use 2 decimal digit Calculate the discounted payback period for the project at a discount rate of 20% Provide your answer in the corresponding unit and use 2 decimal digits. 2 STEP: Discount the cash flows using the given discount rate of 20% for each year.(Accumulate the discounted cash flows until they sum to zero or become positive, then calculate the point in time where the initial investment is fully recovered.(We use the formula for discounting each cash flow: CFt :the cash flow in year(r: is the discount rate (20% or 0.20),(t :is the year number((Discounted CFt= CFt / (1+r)^t On calcul pour chacun avec la formule et Discounted CF4=1085.53 Accumulate the discounted cash flows : Now, we accumulate the discounted cash flows year by year: Cumulative CF after Year 0: -2500 Cumulative CF after Year 1: -2500 + 500 = -2000. C.umulative CF after Year 2: -2000 + 500 = -1500 . Cumulative CF after Year 3: -1500 + 1157.41 = -342.59 Cumulative CF after Year 4: -342.59 + 1085.53 = 742.94(The discounted payback period occurs between Year 3 and Year 4, because by the end of Year 3, the cumulative discounted cash flow is still negative (-342.59) Fraction of year 4=remaining account to recover/Discounted CF4 = 342.59/1085.53=0.315 + 3 years=3.32 years ----------------------------------------------------------------- EXO2 : Assume that EDHEC is a company listed on the London Stock Exchange and its ownership is divided into 1 milion shares. EDHEC just paid a dividend of ¬5, and that dividend is expected to grow constantly in the future at the rate of 4%. What would be the EDHECs' market share price assuming the shares are traded in the market where investors require 9% annual return? ( we can use the Dividend Discount Model (DDM), also known as the Gordon Growth Model. (The formula for the price of the stock : P0= D1/ (r-g) (Where: P0 = Price of the stock today, D1 = Dividend in the next period (year) , r = Required rate of return (9% or 0.09), g = Dividend growth rate (4% or 0.04).(Calculate D1 the dividend in the next period he company just paid a dividend of ¬5, and it is expected to grow at 4% annually. To find : D1= D0*(1+g). D1=5*(1,04)= 5.2(Apply the Gordon Growth Model: P0= 5.2 / (0.09-0.04) = 104 (----------------------------------------------------------------- EX03: A company plans to put ¬90.000 each month over the next 120 months into a bank account which offers a 0,5% monthly rate (first payment in exactly 1 month in January(2024). How much will it possess on this bank account after the 120* payment given Prat it wit just put ¬50,000 rather than ¬90,000 in January 2025, If you choote to round your intermediate computations, do it to 2 decimals place. (Note, In this question, the period is the month and so you are given he monthly interest rate. Do not change the unit in years. ( We cherch future value: Fv=P* ((1+r)^n - 1) / r Made with nCreator - tiplanet.org
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