Mortgage Repayment
1. **State the problem:** We need to find the monthly bond repayment on a mortgage of 650000 over 20 years with an annual compound interest rate of 9.5%.\n2. **Identify variables:**\n - Principal: $P = 650000$\n - Annual interest rate: $r = 9.5\% = 0.095$\n - Term: $t = 20$ years\n - Number of payments per year: $n = 12$\n3. **Calculate the monthly interest rate:**\n $$ i = \frac{r}{n} = \frac{0.095}{12} \approx 0.0079167 $$\n4. **Calculate total number of payments:**\n $$ N = n \times t = 12 \times 20 = 240 $$\n5. **Use the amortization formula for monthly payment $M$:**\n $$ M = P \times \frac{i(1+i)^N}{(1+i)^N - 1} $$\n6. **Calculate $(1+i)^N$:**\n $$ (1+0.0079167)^{240} \approx 6.463$$\n7. **Substitute values:**\n $$ M = 650000 \times \frac{0.0079167 \times 6.463}{6.463 - 1} = 650000 \times \frac{0.05118}{5.463} $$\n $$ M = 650000 \times 0.009366 = 6087.9 $$\n8. **Final answer:** The monthly bond repayment is approximately $6088$.