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Renting Vs Buying A House

May 6th, 2010 by
  • Sanjay's dilemma – To live on rent or buy a home

    Sanjay is a 35-year-old CA with a reputed accountancy firm and brings home a salary of Rs 1,00,000 per month. He is living with his family in a rented flat that costs him Rs 25,000 per month. Till a few years back, buying a house was a distant dream for him. But the falling property prices and attractive home loan rates have given him a new hope. He is contemplating of buying the same flat which is currently fetching a price of Rs 70 lakh. He can even use his savings of Rs 15 lakh as down payment. But before making any decision he wants to weigh all his options.

    Sanjay has two options in front of him:

    • To continue living on rent
    • To buy a house

    He does not want to make any decision on the spur of the moment, so he splits the entire calculation into four steps:


    What is Sanjay's monthly outflow?

    CASE 1.When the flat is rented

    Sanjay's primary outflow is the rent that is Rs 25,000 per month, means Rs 3,00,000 per annum. If he considers an annual hike of 5% in the monthly rent, then his yearwise monthly outflow will be as below:

    Year Rent (Rs.)
    1 25000
    2 26250
    5 30338
    10 38783
    15 49498
    19 60165
    20 63174
    * If there is a large deposit, the interest should be accounted for, but that is covered later.
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    CASE 2. When the flat is purchased

    In this case, Sanjay's monthly outflow will comprise the EMI.

    A. EMI calculation
    The purchase price of the flat is Rs 70 lakh, including cost of registration and stamp duty.
    Generally, down payment is 20% of the house price. This comes to
    Rs 70,00,000 x 20% = Rs 14,00,000
    This is not a problem as Sanjay already has Rs 15,00,000 with him.

    So, the loan amount Sanjay would need will be Rs 70,00,000 – Rs 15,00,000 = Rs 55,00,000.

    See different EMIs Sanjay would pay across different interest rates & maturity periods

    B. Monthly outflow calculation

    If Sanjay takes a loan of Rs 55 lakh at the interest rate of 9% for 20 years, his EMI comes to Rs 49,485 i.e., Rs 5.94 lakh per annum.

    He gets tax benefits on the principal as well as the interest payments.

    At the same time, he has to bear annual maintenance charges of Rs 30,000 (approx.) for the flat.

    His yearwise monthly outflow will be:

    Year EMI (Rs) Maintenance (+) (Rs) Tax Savings (-) (Rs) Avg. Monthly Outflow (Rs)
    1 49485 2500 6250 45735
    2 49485 2600 6250 45835
    5 49485 2925 6250 46160
    10 49485 3558 6250 46793
    15 49485 4329 6250 47564
    19 49485 5065 4412 50137
    20 49485 5267 3199 51553
    The money used for down payment will earn interest, but that is considered later.

    Equating rent and buy outflows

    Now, Sanjay has calculated monthly outflows in both cases. A comparison between the two will help him arrive at a decision. So let's take a look at it.

    A) When interest rate is 9%

    Year Monthly Outflow (Rent) (Rs) Monthly Outflow (Buy) (Rs) Monthly Difference (Rs)
    1 25000 45735 -20764
    2 26250 45835 -19585
    5 30338 46160 -15772
    10 38783 46793 -8010
    15 49498 47564 1934
    19 60165 50137 10028
    20 63174 51553 11621

     

    The data shows that the buy outflow is almost constant for the entire duration, while a rising curve can be seen in the case of rent outflow. This means initially the rent outflow is less compared to the buy outflow, but after some period say 15 years they converge at a point, and thereon we see a rise in the rent outflow.

    In the above case, buying a flat looks good option for Sanjay. However, there are certain possibilities that have to be taken into consideration before making a final decision.

    B) When interest rate is 12%

    If the floating rate increases to 12%, the EMI will also rise, unless the tenure is increased. Check out the monthly outflow in that case:

    Year Monthly Outflow (Rent) (Rs) Monthly Outflow (Buy) (Rs) Monthly Difference (Rs)
    1 25000 45735 57547
    2 26250 45835 57275
    5 30338 46160 57234
    10 38783 46793 57868
    15 49498 47564 58639
    19 60165 50137 60079
    20 63174 51553 62199

    Property appreciation (Rent vs Buy)

    The flat Sanjay is buying will also act like an investment and generate annual returns as property prices move up. Let us sum up the outflow and gains:

    Outflow

    • Down payment of Rs 15 lakh
    • Rental deposit of Rs 2 lakh
    • Paying interest rate of 9% on the loan

    Gains/investment

    • Appreciation of property value at 4% over 20 years
    • Tax savings in case of buying
    • Interest earned on rental deposit

    The chart shows the overall Internal Rate of Return (IRR) generated by the investment over 20 years.

    Year Annual Outflow – Rent (Rs in lakh) Annual Outflow – Buy (Rs in lakh) Incremental Flows – Rent vs Buy (Rs in lakh)
    0     13.00
    1 3.00 5.49 2.49
    2 3.15 5.50 2.35
    5 3.83 5.55 1.89
    10 4.89 5.63 0.96
    14 5.66 5.69 0.03
    15 5.94 5.71 0.23
    19 7.22 6.02 1.20
    20 7.58 6.19 1.39
    House Value including Appreciation 153.38
    IRR 9.62%
    * Annual Outflow = Monthly Outflow x 12 (See previous slide for monthly outflow values)

    Here, we see that buying turns out a good proposition for Sanjay as he earns an impressive return of 9.62%.

    This return should be compared with other investment options like PPF, Mutual Funds, etc. However, it is advisable to go for a house of your own even if the returns are moderate.


    Risk evaluation

    We have made some assumptions while calculating investment returns for Sanjay, but changing scenarios can have different impact on the returns.

    Risk 1: Property appreciation

    We assume that the value of flat will appreciate at 4% per annum. Let us therefore look at the various returns that Sanjay might earn if appreciation scenarios are different.

    Risk 2: Change in interest rates

    Sanjay did his calculation by keeping the interest rate constant at 9% for the entire loan duration. But if the floating interest rate moves up or down, the whole calculation will change, impacting the returns generated by the investment. Check out the internal rate of return for changing interest rates (property appreciation is kept fixed at 4% p.a.).

    Risk 3: Change in annual rentals

    The rental growth was considered to be constant at 5% per annum in the calculation. However, it can be higher or lower depending on the direction in which property prices move in that period. Let's see the IRR changes with respect to change in annual growth of rentals (assuming interest rate as 9% and property appreciation 4%).

     


    Summing it up

    • Sanjay's rent is much lower than the EMI in the initial years, but it will later increase and surpass the EMI
    • Even though the EMI is higher, an appreciation in the cost of the property will make up for it.
    • Property should be bought at the right time and for right price. So for Sanjay, it will be a wise decision to buy the flat at Rs 60-70 lakh.
    • Had Sanjay's rent Rs 20,000, then it would have made sense for him to live on rent.
    • He should take a loan at lower rates or wait for rates to fall.
    • There are ups and downs in the floating interest rates. Rising rates can strain his pockets, so he must be prepared for a 10-20% increase in the EMI.

    * Above recommendations do not take into account rapid increases in rents or property

    5 Comments

5 Responses to “Renting Vs Buying A House”

  1. Thanks for the nice analysis. One question though – are the numbers real – 25,000 rent for a 70 Lakh property? It might depend upon the city, but, in Bangalore, for example, a 25,000 rent property would cost you more than 1.25 Cr, which will change the calculations.

  2. vijay nagendra said on

    Smartly, the loss of return on investment of Rs.15 Lakh which he had to forego to make the down payment was not considered which would be atleast Rs.1,50,000 per annum (compounded or not compounded is left to the person calculating).
    And a flat with a rental of Rs.25000 is not available for Rs.70 Lakhs in our locality. If he is buying a different home, then the analysis would make no sense, as he is compromising on his life style. 
    We personally stay in a 3 bhk on rental basis and i am being asked to buy a 1 bhk as we can afford it. My question would be if we can stay in a 1 bhk, why are we staying in a 3 bhk paying higher rentals?
     
     

  3. Your analysis is flawed
    In the condition of renting you have not taken into account the amount saved by renting.
    For example, in renting Sanjay doesn't spend 15lacs. That is invested at a compound rate of 8 % plus the savings per month( difference between rent and emi)  continues to be invested at 8% compound interest.
    Please update your calculation with this to provide a proper understanding
     
     

  4. after scratching head on the excel sheet for so many hours ..we ended up on this site….and the calculations matched….good site…nice points..was nice to read….

  5. Vinay Kumar said on

    If you take emotional decision then Buying house is better option, but if you want to take practical decision based on calculation then renting is the best option. The calculation in article doesn't include the return of captial which Sanjay used for downpayment (15 lac) and also the additional amount which he end up paying  EMI- montly rent  till rent become equal to EMI. If you add the compound return of those amount then return for rented house will be high.
    Apart from this if you are in private job or for some reason if you need to change house or city then it's hard to manage property in another city.Not only this if any chance if you end up loosing your job for few month then paying EMI will be big pain, where as if you are in rented house then you may move to area with cheaper rent or opt for small home.
    Summary is that return wise Rented house will give you more return as well as it's low risk option. If you want to take advantage of Real estate appriciation then there are other option to either buy land or invest in stock.

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