Apart from Home Protection Scheme (HPS) which is compulsory when specific conditions are met, Mortgage Insurance is generally not compulsory in Singapore.
Notwithstanding the above, the key question to ask yourself: What happens when you pass on unexpectedly? Do your surviving family members (ex. your spouse, school-going children or elderly parents) be willing or able to continue to service the mortgage loan?
Even if they are willing to take over the mortgage loan, the request may not be approved by the bank / financial institutions as there are conditions that your spouse, school-going children or elderly parents must meet;
If your family members are unwilling or unable to take over the mortgage loan, are you comfortable with them selling the property at short notice regardless of the prevailing market conditions? It is highly likely that the selling price will be depressed and they will suffer a loss. While looking for buyers to ease their cash-flow, they will also need to search for alternative accommodations. This is a highly stressful and unpleasant experience.