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 six 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%? Does your answer change if the interest rate is 10%? Explain why or why not.
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- 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 today3. 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?You are considering investing in a security that will pay you RM1,000 in 'n' years. Required: How long do you have to invest if you start the investment of RM250 today with the appropriate discount rate of 10 percent quarterly? i. ii. Assume these securities sell for RM365, in return for which you receive RM1,000 in 30 years. What is the rate of return investors earn on this security if they buy it for RM365?
- 1) 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?Which 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%.you are considering investing in a four year security which pays 6,000 in one year. 6,000 in two years, 6,000 in 3 years and 17,500 in 4 years. the security currently trades at a price of of 18,483.77. What is the yield to maturity of the security? What is duration?
- The amount of money originally put into an investment is known as the present value P of the investment. For example, if you buy a $50 U.S. Savings Bond that matures in 10 years, the present value of the investment is the amount of money you have to pay for the bond today. The value of the investment at some future time is known as the future value F. Thus, if you buy the savings bond mentioned above, its future value is $50. If the investment pays an interest rate of r (as a decimal) compounded yearly, and if we know the future value F for t years in the future, then the present value P = P(F, r, t), the amount we have to pay today, can be calculated using the formula below. P = F × 1 (1 + r)t We measure F and P in dollars. The term 1/(1 + r)t is known as the present value factor, or the discount rate, so the formula above can also be written as the following. P = F × discount rate (a) Explain what information the function P(F, r, t) gives you. The function…If the interest rate is 15%, what is the present value of a security that pays you $1,100 next year, $1,250 the year after, and $1,343 the year after that? Present value is $ (Round your response to the nearest penny.)If the interest rate is 15%, what is the present valueLOADING... of a security that pays you $1100 next year, $1230 the year after, and $1330 the year after that? Present value is $ enter your response here. ( Round your response to the nearest penny.)
- Suppose that if you purchase a US Treasury bond, it will pay you a one-time payment of $5000 in 10 years from now. What interest rate would you earn if you bought this bond for $3000?What is the present value of a security that promises to pay you $5,000 in 20 years? Assume that you earn 7% if you were to invest in other securities of equal risk.Suppose the government decides to issue a new savings bond that is guaranteed to double in value if you hold it for 18 years. Assume you purchase a bond that costs $50. a. What is the exact rate of return you would earn if you held the bond for 18 years until it doubled in value? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) b. If you purchased the bond for $50 in 2020 at the then current interest rate of .28 percent year, how much would the bond be worth in 2030? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) c. In 2030, instead of cashing in the bond for its then current value, you decide to hold the bond until it doubles in face value in 2038. What annual rate of return will you earn over the last 8 years? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.) a. Rate of return b. Bond value c. Rate…