If you are willing to pay $46,638 today to receive $4,991 per year forever then your required rate of return must be %. Assume the first payment is received one year from today.
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- Need help with this general accounting questionSuppose you inherit a perpetuity that pays $4,000 each year. Assuming the first payment will occur one year from now and the cost of capital is 10% APR with daily compounding, what is the value of this perpetuity today? Assume 365 days in a year.You plan to save $X per year for 7 years, with your first savings contribution later today. You and your heirs then plan to withdraw $31,430 per year forever, with your first withdrawal expected in 8 years. What is X if the expected return per year is 14.95 percent per year per year? Input instructions: Round your answer to the nearest dollar. 6A $
- You plan to save $X per year for 7 years, with your first savings contribution in 1 year. You and your heirs then plan to make annual withdrawals forever, with your first withdrawal expected in 8 years. The first withdrawal is expected to be $43,596 and all subsequent withdrawals are expected to increase annually by 1.84 percent forever. What is X if the expected return per year is 11.34 percent per year? Input instructions: Round your answer to the nearest dollar. $You plan to save $X per year for 6 years, with your first savings contribution in 1 year. You and your heirs then plan to withdraw $43,246 per year forever, with your first withdrawal expected in 7 years. What is X if the expected return per year is 18.15 percent per year? Input instructions: Round your answer to the nearest dollar. 59 $You are saving for your retirement. You have decided that one year from today you will deposit 5percent of your annual salary in an account which will earn 6percent per year. Your salary currently (today) is $90,000, and it will increase at 2 percent per year throughout your career. How much money will you have for your retirement, which will begin in 40years? Assume your first payment into the account is one year from today after your first increase.In other words, your next year’s paycheck (Year 1) is more than $90,000since it will increase by 2% each year. (
- Suppose you want to buy a vacant lot for your future home for $29,673. If your bank is willing to loan you the money at a 6% APR over the next 14 years how much would be your monthly payment? (Round up your answer to two decimal point)You will receive a cash payment of $6.4 in 4 years. If the relevant interest rate is 16.4%, how much is it worth today? Answer:You are offered the choice of two annuities. A: Receive $100 every year for the next ten years. The first payment starts one year from today. B: Receive $204 every two years for the next ten years. The first payment starts two years from today. Without calculating the present values of the annuities, explain how you can obtain the rate of interest per annum that would make you indifferent between the two annuities.
- You are told that if you invest $11,100 per year for 19 years (all payments made at the beginning ofeach year) you will have accumulated $375,000 at the end of the period. What annual rate of return is theinvestment offeringAssume you will be paid $100 next year and every year after, and the interest rate is 2%. Calculate the present value of this infinite future payment of $100Your investment advisor wants you to purchase an annuity that will pay you $81,491 after 10 years. If you require a 7.8% return, what is the most you should pay for this investment? (Keep 2 decimal places)
