Question

5 pts Consider a 30-year, $115,000 fixed-rate mortgage with a nominal annual rate of 5.45 percent. All payments are made at the end of each month. What is the remaining balance on the mortgage after 5 years? Your answer should be between 98,478 and 112,670 rounded to 2 decimal places, with no special characters. Question 20 5 pts Ashley turned 30 today, and she is planning to save $3,000 per year for retirement, with the first deposit to be made one year from today. She will invest in a mutual fund, which she expects to provide a return of 9.10% per year throughout her lifetime. She plans to retire 35 years from today, when she turns 65, and she expects to live for 30 years after retirement, to age 95. Under these assumptions, how much can she spend in each year after she retires?! Her first withdrawal will be made at the end of her first retirement year, and she plans on leaving no money to her heirs. Your answer should be between 28,800.00 and 95,225.00, rounded to 2 decimal places, with no special characters.

Answer 1

19) Outstanding loan balance = Principal *((1+rate)^n - (1+rate)^m)/((1+rate)^n-1) here n is total maturity period of the loan and m is the period gone we want to calculate the value of mortgage at the end of 5 years 115000*((1+0.0545/12)^(30*12) - (1+0.0545/12)^(5*12))/((1+0.0545/12)^(30*12)-1) 106,259.02

20) We need to first calculate the future value at the retirement Periodic deposit = 3000 Number of deposits = 35 Interest rate = 9.10% Use financial calculator to calculate the future value at retirement Future value = 661,971.08 She wants to withdraw at the end of year and make 30 withdrawals Present value = 661,971.08 Interest rate = 9.10% Number of withdrawals = 30 Use financial calculator to calculate the value of annual withdrawals Annual withdrawals = 65,005.99