Assume you invest $15,000 today. How much will you have in five years at an interest rate of​ 10%?       Future Value of​ $1:   ​8% ​9% ​10% 1 1.080 1.090 1.100 2 1.166 1.188 1.210 3 1.260 1.295 1.331 4 1.360 1.412 1.464 5 1.469 1.539 1.611 6 1.587 1.677 1.772         A. $24,165   B. $23,085   C. $21,960   D. $26,580

Determine the present value P you must invest to have the future value A at simple interest rate r after time t. A = $19,000, r = 11.5%, t = 4 years The present value that must be invested to get $19,000 after 4 years at an interest rate of 11.5% is $. (Round up to the nearest cent.)

Question 3) The following questions are related to Continuously Compounded Interest:   If you invest $2,000 at an annual interest rate of 8% compounded continuously, calculate the final amount you will have in the account after 20 years.       If you invest $10,000 at an annual interest rate of 5% compounded continuously, calculate the final amount you will have in the account after ten years.     Question 4)  Suppose you want to save $100,000 for a down payment on a house in 15 years. If your savings account earns 9% compounded monthly, how much would you need to deposit now to reach this goal?

What is the rate of return (the interest rate) on an investment today of $30,626.24 if the company expects to receive $45,000 in 5 years? а. 9% O b. 8% С. 6% d. 7%

9 Suppose you invested $500 in a local credit union and: f(t) gives the future value of the investment in t years, if the APR is 2% and interest is compounded quarterly. • g(t) gives the future value of the investment in t years, if the APR is 2% and interest is compounded monthly. h(t) gives the future value of the investment in f years, if the APR is 2% and interest is compounded continuously. a. Write a function rule for f(t). For g(t). For h(t). Then describe how the rules are similar and how they are different. b. Based on your understanding of exponential growth, describe how the graphs of f(t), g(t), and h(t) are similar, and how they are different. c. On the same coordinate grid, use algebraic reasoning to sketch graphs of the three functions. .

Suppose you take out a 30-year mortgage for $ 225000 at 8.5% interest. The monthly payments on this loan are $ 1730.06. If you pay an extra 40% per month on your mortgage, how soon will you pay off the loan?New length in years =  How much will you save in interest by making the extra payments?Saving =  If you put $ 1730.06 per month into an annuity earning 10.25% interest compounded monthly for the remaining time on your original loan, how much money will you have at the end of the original 30 years?Extra savings =

Problem 1: You can choose between two different investments: (A) an annuity that pays $10,000 each year for the next 6 years; (B) a perpetuity that pays $10,000 forever, starting 11 years from now. 1. Which investment do you choose, A or B, if the interest rate is 5%? What if it is 10%? Explain in words the reason behind your choices.

5. Present value To find the present value of a cash flow expected to be paid or received in the future, you will the future value cash flow by (1+1)N What is the value today of a $42, 000 cash flow expected to be received 17 years from now based on an annual interest rate of 7% ? $13,296 $10,637 $132, 670 $20, 609 Your broker called carfier today and offered you the opportunity to invest in a security. As a friend, he suggested that you compare the current, or present value, cost of the security and the discounted value of its expected future cash flows before deciding whether or not to invest. The decision rule that should be used to decide whether or not to invest should be. Everything else being equal, you should invest if the discounted value of the security's expected future cash flows is greater than or equal to the current cost of the security. Everything else being equal, you should invest if the current cost of the security is greater than the present value of the security's…

How much do you have to deposit today so that beginning 11 years from now you can withdraw ​$12,000 a year for the next 6 years​ (periods 11 through 16​) plus an additional amount of ​$24,000 in the last year​ (period 16​)? Assume an interest rate of 9 percent.

If I invest £100 and get back £300, what is the percentage return over. a. 5years? b. 10years? with working please