## project selection

### project selection

David is a Project Manager for Construction Company. He has been asked to help choose one of the four potential real estate projects. The management used internal rate of return technique for project selection. Which of the following projects should David recommend to the management?

Project A requires making an initial investment of $100,000 and will give monthly return of $5,000.

Project B requires making an initial investment of $200,000 and will give monthly return of $8,000.

Project C requires making an initial investment of $100,000 and will give annual return of $40,000.

Project D requires making an initial investment of $200,000 and will give annual return of $60,000.

ans is project A how? greater return from B . how is the IRR calculated here. Please tell.

Project A requires making an initial investment of $100,000 and will give monthly return of $5,000.

Project B requires making an initial investment of $200,000 and will give monthly return of $8,000.

Project C requires making an initial investment of $100,000 and will give annual return of $40,000.

Project D requires making an initial investment of $200,000 and will give annual return of $60,000.

ans is project A how? greater return from B . how is the IRR calculated here. Please tell.

### Re: project selection

I hope you noticed that return for project A and B are monthly so you need to multiply it by 12 for annual returns and then calculate IRR.

Project with higher IRR is receomnded

Project investment Return IRR

A 100000 60000 0.6

B 200000 96000 0.48

C 100000 40000 0.4

D 200000 60000 0.3

Project with higher IRR is receomnded

Project investment Return IRR

A 100000 60000 0.6

B 200000 96000 0.48

C 100000 40000 0.4

D 200000 60000 0.3

### Re: project selection

I did notice monthly return and multiplied by 12. ..but not getting it right

can you tell me to calculate.

IRR cash out flow and inflow is 0

0= sum(FV/1+i^n)

0= -100000 + 60000/(1+i)^1

Is this the way I should claculate? not getting the right answer. Can you please correct me.

can you tell me to calculate.

IRR cash out flow and inflow is 0

0= sum(FV/1+i^n)

0= -100000 + 60000/(1+i)^1

Is this the way I should claculate? not getting the right answer. Can you please correct me.

### Re: project selection

Saket can you help me with this calculation please?

Thanks

Thanks

### Re: project selection

still waiting for the calculations ??

- jyotimayank
- Expert
**Posts:**504**Joined:**Mon Mar 09, 2015 6:01 am

### Re: project selection

Let me explain the calculation part

Return rate 60000 per year so Payback period is 1 Year 8 months (or 100000/5000=20 months)

Return rate 96000 per year so Payback period is 2 Years 1 month (200000/8000= 25 months)

Return rate 40000 per year so Payback period is 2 Years 6 months

Return rate 60000 per year so Payback period is 3 Years 4 months

Looking at this data Project A have minimum payback period so Project A is selected

**Project A**Investment 100000Return rate 60000 per year so Payback period is 1 Year 8 months (or 100000/5000=20 months)

**Project B**Investment 200000Return rate 96000 per year so Payback period is 2 Years 1 month (200000/8000= 25 months)

**Project C**Investment 100000Return rate 40000 per year so Payback period is 2 Years 6 months

**Project D**Investment 200000Return rate 60000 per year so Payback period is 3 Years 4 months

Looking at this data Project A have minimum payback period so Project A is selected

**Jyoti Gupta**

PMP Mentor & Coach

PMP Mentor & Coach

iZenbridge Consultancy Pvt Ltd

### Re: project selection

Hi Jyoti this is IRR and not Payback period question

### Re: project selection

Hi AM

David is a Project Manager for Construction Company. He has been asked to help choose one of the four potential real estate projects. The management used internal rate of return technique for project selection. Which of the following projects should David recommend to the management?

Project A requires making an initial investment of $100,000 and will give monthly return of $5,000.

discounted rate IRR is calculated as IRR =((FV/PV) raise to (1-n) ) - 1 where

n= number of years for which IRR is calculated, FV = net cash flow (returns) over n years and PV = initial investment

In our question we have not provided years so you have to assume n=1

calculations is

IRR (%)

=((5000*12)/ 100000) - 1

=0.6-1

=-40%

Simlarly for Project B its -52%, C its -60% and D its -70%

so if you see highest IRR is Project A with -40% hence it should be selected

To avoind confusion, I had provided simple calculation in my previous response without considering discounted IRR

**i will take Project A as example**David is a Project Manager for Construction Company. He has been asked to help choose one of the four potential real estate projects. The management used internal rate of return technique for project selection. Which of the following projects should David recommend to the management?

Project A requires making an initial investment of $100,000 and will give monthly return of $5,000.

discounted rate IRR is calculated as IRR =((FV/PV) raise to (1-n) ) - 1 where

n= number of years for which IRR is calculated, FV = net cash flow (returns) over n years and PV = initial investment

In our question we have not provided years so you have to assume n=1

calculations is

IRR (%)

=((5000*12)/ 100000) - 1

=0.6-1

=-40%

Simlarly for Project B its -52%, C its -60% and D its -70%

so if you see highest IRR is Project A with -40% hence it should be selected

To avoind confusion, I had provided simple calculation in my previous response without considering discounted IRR

### Re: project selection

The complete IRR calculation may not be needed in this question since you just want to get a feel of where the % returns are high. and which are quite clear from the options . manishpn has given example by taking one year time horizon

Let me know if this still require discussion and in exam less chance of getting question where you need to do this calculation.

Let me know if this still require discussion and in exam less chance of getting question where you need to do this calculation.

### Re: project selection

David is a Project Manager for Construction Company. He has been asked to help choose one of the four potential real estate projects. The management used internal rate of return technique for project selection. Which of the following projects should David recommend to the management?

Project A requires making an initial investment of $100,000 and will give monthly return of $5,000.

Project B requires making an initial investment of $200,000 and will give monthly return of $8,000.

Project C requires making an initial investment of $100,000 and will give annual return of $40,000.

Project D requires making an initial investment of $200,000 and will give annual return of $60,000.

ans is project A how? greater return from B . how is the IRR calculated here. Please tell.

The formula given to us in Quampus maths flash card tells to calculate the IRR as follows

IRR cash out flow and inflow is 0

0= sum(FV/1+i^n)

but not getting the answer correct. what are the values to be put in the formula?

Beginner

Beginner

Posts: 37

Joined: Fri Dec 05, 2014 7:05 pm

Project A requires making an initial investment of $100,000 and will give monthly return of $5,000.

Project B requires making an initial investment of $200,000 and will give monthly return of $8,000.

Project C requires making an initial investment of $100,000 and will give annual return of $40,000.

Project D requires making an initial investment of $200,000 and will give annual return of $60,000.

ans is project A how? greater return from B . how is the IRR calculated here. Please tell.

The formula given to us in Quampus maths flash card tells to calculate the IRR as follows

IRR cash out flow and inflow is 0

0= sum(FV/1+i^n)

but not getting the answer correct. what are the values to be put in the formula?

Beginner

Beginner

Posts: 37

Joined: Fri Dec 05, 2014 7:05 pm

### Re: project selection

Let me explain what Manish has already done , for one option

1. Since we are not aware of complete project duration we can assume this is only one year project

2. If its one year them we are investing 100,000 and getting 60,000 (5*12) mean rate is going to be negative

So as per formula

0 = - 100,0000 + 60,000 / (1+r/100)

Which can be written as

100,000 = 60,000 / (1+r/100)

100,000 = 60,000 (1-40/100)

100,000 = 60,000 / .6

100,000 = 100,000

So option one is giving - 40%

Simlarly for Project B its -52%, C its -60% and D its -70%

So -40 is good than any other one.

1. Since we are not aware of complete project duration we can assume this is only one year project

2. If its one year them we are investing 100,000 and getting 60,000 (5*12) mean rate is going to be negative

So as per formula

0 = - 100,0000 + 60,000 / (1+r/100)

Which can be written as

100,000 = 60,000 / (1+r/100)

100,000 = 60,000 (1-40/100)

100,000 = 60,000 / .6

100,000 = 100,000

So option one is giving - 40%

Simlarly for Project B its -52%, C its -60% and D its -70%

So -40 is good than any other one.

### Re: project selection

now I got it....what manish told in simple way was also good . I will use that quick way in exam. but I was keen to know about using the formula used in Quampus for my understanding.

Thanks Saket and Manish

Thanks Saket and Manish

- mariareese
**Posts:**1**Joined:**Tue Jul 18, 2017 6:06 am

### Re: project selection

I think IRR return is fair enough ..

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