This study quantifies the effect of an increase in the nominal interest rate on key macroeconomic variables in Korea by using a Dynamic Stochastic General Equilibrium (DSGE) model with a housing market and collateral constraints. The results indicate that if the nominal interest rate is raised by 0.5% points per year, the real housing prices fall by 0.08% compared to the steady-state level, while household debt decreases by 1.4%. I also show that tightening lending rules by reducing the loan-to-value ratio or introducing debt service ratio limits slightly strengthen the impact of the increased nominal interest rate on housing prices.