# W4_SSG_Investment Decision by Internal Rate of Return

PROBLEM DEFINITION

Considering traffic Jam in Jakarta, many of the worker who live at suburb of Jakarta using motorcycle as mean of transportation to office. This situation gives opportunities to develop a business motorcycle rental. I want to see whether this motorcycle rental is economically justified.

DEVELOPMENT OF FEASIBLE ALTERNATIVES

There are several methodologies used to justify whether the investment is justifiable or not. One of them is by measuring the Internal Rate of Return (IRR) and Minimum Acceptance Rate of Return (MACC).

DEVELOPMENT OF OUTCOMES FOR EACH ALTERNATIVE

The rule is if IRR ≥ MARR, the investment is economically justified. In this case, MARR is determined 5 % per month. The duration of the investment is 1 year.

SELECTION OF CRITERIA

MARR (Minimum Acceptance Rate of Return).

Considering that “ I can invest the total cost for Investment below to Bank” as an options. So The MARR will be based on this assumption.

Investment Expected Return can be calculated based on below equation.

RS-RF = β (RM-RF),

where

RS =  Expected Return

RF = Risk Free Rate of Investment

RM = Return of Marker as a whole

RM – RF = Market Premium

Β  = Beta of Stock

Equation 1. Expected Return

This exercise considering below assumption:

Risk Free (RF) = fixed interest deposits rate (Bank Mandiri) = 5.13 % / year

Market Premium (RM-RF) = 8.5% ()

Beta of Stock = 1.5

RS = RF+ β (RM-RF)

RS = 5.13% +1.5 (8.5%) = 17.88%

MARR = RS = 17.88%

IRR (Internal Rate of Return).

Figure 1. Cost of Investment for an a year

Figure 2. Revenue of One year + Salvage Value

Figure 3. Cashflow for one year considering the IRR

ANALYSIS FOR THE ALTERNATIVES

IRR is reached when Total NPV = 0.

Figure 4.  IRR = NPV=zero

 NPV = PV1 + PV2 + PV3 + PVn…Equation 1. Net Present Value PV = C / (1 + i)^nEquation 2. Present Value IRR = NPV = 0,Equation 3. Interest Rate of Retun WherePV = Present ValueNPV = Net Present ValueIRR = Interest Rate of Return I = interest rate N = number of time

Folllowing the equation above, it’s clear that NPV is function of interest rate (i) and number (n) inversely. This also represented in the graphic when interest rate increase, NPV is decrease. In one point where NPV = 0, it’s interest rate is the IRR.

According to IRR 30,01% > MARR 17.88%, this investment is economically justified.

SELECTION ON THE PREFERRED ALTERNATIVES

The investement is economically justified for investment according to IRR 30.01 % > MARR 17.88%. The margin of IRR – MARR =  IDR 4,324K.

PERFORMANCE MONITORING AND POST EVALUATION RESULT

IRR determination is based on cash flow. Higher income, lower cost would result higger IRR.

REFERENCES

Investovedia.(2013).Internal Rate of Return.Access September 27, 2013 from

http://www.investopedia.com/terms/i/irr.asp

Princeton University.(2013).Internal Rate of Return.Access September 27, 2013 from

http://www.princeton.edu/~achaney/tmve/wiki100k/docs/Internal_rate_of_return.html

Investodia.(2013).How to calculate Required Rate of Return.Access October 1, 2013 from

http://www.investopedia.com/articles/fundamental-analysis/11/calculating-required-rate-of-return.asp

Kontan.(2013).Suku Bunga Keuangan.Access.October1,2013 from.

Filed under Sutoyo S, Week 04

### 2 responses to “W4_SSG_Investment Decision by Internal Rate of Return”

1. REALLY SORRY Pak Sutoyo for having to reject this posting because your CASE STUDY is an excellent one and the analysis you did was good.

The ONLY reason I am rejecting your posting this week is because you didn’t explain or justify WHERE you came up with the 5% MARR?

BEFORE you fix this report (which should only take you 15 minutes) turn to pages 179-180,309-310,453 and 526-533. Once you can justify or explain how or why you chose the MARR you did, I will be happy to give you 5 stars for what was an otherwise very well done blog posting!!

BR,
Dr. PDG, Jakarta

• Pak Paul,
Thank you very much for the guidance. I already update the blog posting following your guidance. The way I made the MARR is based on the Page 528 where expected Return is a function of Free Risk Market investment rate, beta stock rate, and Market premium Rate.
BR,
Sutoyo Saragih