An investor places $3,500 in a security that grows to $4,410 after 3 years with no additional deposits or withdrawals. What is the implied annual interest rate the investor will earn on this security?
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- If a security currently worth $5,600 will be worth $12,379.82 seven years in the future, what is the implied interest rate the investor will earn on the security—assuming that no additional deposits or withdrawals are made? If an investment of $35,000 is earning an interest rate of 4.00%, compounded annually, how many years will it will take for this investment to reach a value of $44,286.17—assuming that no additional deposits or withdrawals are made during this time? Which of the following statements is true—assuming that no additional deposits or withdrawals are made? If you invest $1 today at 15% annual compound interest for 82.3753 years, you’ll end up with $100,000. If you invest $5 today at 15% annual compound interest for 82.3753 years, you’ll end up with $100,000.You are investigating an investment opportunity. The security requires you to make monthly payments of $100 each ( 1^("st ") payment is 1 month from today), over the next 10 years. It offers a nominal annual return of 6% with quarterly compounding. What is the future value of this security at the end of its life (including all your payments and all interest)What is the present value of a security that promises to pay you $15,000 in 10 years? Assume that you earn 5% compounded quarterly if you were to invest in other securities of equal risk.
- What is the present value of a security that promises to pay you $5,000 in 20 years? Assume that you earn 7% compounded semi-annually if you were to invest in other securities of equal risk. A Mortgage company offers to lend you US$150,000; the loan calls for payments of $12,088 per year for 30 Years. What interest rate is the mortgage company charging you? Bank A offers to pay you a lump sum of $20,000 after 5 years if you deposit $9,500 with them today. Bank B, on the other hand, says that they will pay you a lump sum of $22,000 after 5 years if you deposit $10,700 with them today. Which offer should you accept, and why? Justincase Corporation has issued a bond that has a 10% coupon rate, payable semi-annually. The bonds mature in 7 years, have a face value of $1,000 and a yield to maturity of 12%. What is the price of the bond?An investor deposits $1000. How long will it take them to double the initial deposit if the investment earns a simple interest rate of 10% per annum?(please type answer)
- Suppose you are given a choice of the following two securities: (a) an annuity that pays $10,000 at the end of each of the next 6 years Or (b) a perpetuity that pays $10,000 forever, but the first cash payment is 11 years from today. Which security do you choose if the annual interest rate is 5%? (a) an annuity that pays $10,000 at the end of each of the next 6 years (b) a perpetuity that pays $10,000 forever, but the first cash payment is 11 years from todayWhich of the following investments that pay will $18,500 in 8 years will have a higher price today? The security that earns an interest rate of 8.50%. The security that earns an interest rate of 12.75%.Your insurance company offered you an annuity that pays you $100 at the end of each year. The life of the annuity is 10 years. Assume that market interest rate you can earn on similar risky investments is 8%;a. What should be the present value of this annuity?b. If you are given the first payment immediately starting today, what should be the worth of this annuity?
- 3. Suppose you get for free one of the following two securities:(a) an annuity that pays $10,000 at the end of each of the next 10 years. (b) a perpetuity that pays $10,000 forever, but skips the first 10 payments, meaningthe first cash payment from this security is 11 years from today. Which security would you choose if the annual interest rate at all maturities is 4%?Does your answer change if the interest rate at all maturities is 7.5%? Why or whynot?A security pays $800 every 8 years forever. The appropriate discount rate is 2% (EAR). What is the value of the security if the first payment occurs 5 years from now?You decide to invest $14.4k today into a security that will make fixed annual payments to you of $3620 beginning next year. If the expected rate of return is 3.1 %, then for how many years will you receive payments? (Round to the nearest tenth)
