Hi Investment gurus,
Need some advise if GPT below is giving me right advise.
Scenario:
45 year old considering whether to sell HDB or rent it out (currently staying in a condo with mortgage). Value of HDB in current $ about 300K and remaining lease is about 50years. I am aware of the lease decay and possibilities of steep price drop in future and ...In future may be a) future populist govt bailing out via SERS/VERS b) no such luck and I need to let go after of 99-yr lease. Assuming the worst that I let the lease decay, the following is what GPT suggests. Is this sound?
To decide whether to sell the flat for $300,000 or keep it and rent it out, we need to compare the present value of the two options over the 50-year period. Here’s how we can approach the analysis:
FV=PV×(1+r)nFV=PV×(1+r)n
Where:
FVrent=P×(1+i)n−(1+g)ni−gFVrent=P×i−g(1+i)n−(1+g)n
Where:
P=2,500×12=30,000P=2,500×12=30,000
Now let's calculate these values using Python:
Need some advise if GPT below is giving me right advise.
Scenario:
45 year old considering whether to sell HDB or rent it out (currently staying in a condo with mortgage). Value of HDB in current $ about 300K and remaining lease is about 50years. I am aware of the lease decay and possibilities of steep price drop in future and ...In future may be a) future populist govt bailing out via SERS/VERS b) no such luck and I need to let go after of 99-yr lease. Assuming the worst that I let the lease decay, the following is what GPT suggests. Is this sound?
To decide whether to sell the flat for $300,000 or keep it and rent it out, we need to compare the present value of the two options over the 50-year period. Here’s how we can approach the analysis:
Option 1: Sell the Flat and Invest
- Initial Investment: $300,000
- Annual Return on Investment: 4%
- Future Value after 50 years: This is the value of the initial investment after 50 years at a 4% annual return.
Option 2: Rent the Flat
- Initial Monthly Rent: $2,500
- Annual Rent Increase: 2%
- Reinvestment Return Rate: 4%
- Future Value of Rent Payments: This is the value of the reinvested rent payments over 50 years.
Calculation
Option 1: Future Value of Selling and Investing
The future value FVFV of an investment can be calculated using the formula:FV=PV×(1+r)nFV=PV×(1+r)n
Where:
- PVPV = Present Value (initial investment)
- rr = Annual interest rate
- nn = Number of years
Option 2: Future Value of Renting
The future value of rent payments, taking into account reinvestment and rent increase, requires a bit more calculation since the rent increases annually and each payment is reinvested at a 4% return. The formula for the future value of a growing annuity (rent payments growing at 2%) is:FVrent=P×(1+i)n−(1+g)ni−gFVrent=P×i−g(1+i)n−(1+g)n
Where:
- PP = Initial monthly payment (annualized)
- ii = Reinvestment interest rate (4%)
- gg = Growth rate of payments (2%)
- nn = Number of years
P=2,500×12=30,000P=2,500×12=30,000
Now let's calculate these values using Python:
Comparison of Options
- Future Value of Selling and Investing: Approximately $2,132,005
- Future Value of Renting and Reinvesting: Approximately $6,622,643