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- 10. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security of $4,000 will be worth $5,324.00 three years in the future, assuming that no additional deposits or withdrawals are made, what is the implied interest rate the investor will earn on the security? ○ 6.00% ○ 7.50% ○ 10.00% ○ 12.00% If an investment of $35,000 is earning an interest rate of 11.00% compounded annually, it will take value of $58,977.04-assuming that no additional deposits or withdrawals are made during this time. for this investment to grow to a 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 approximately $100,000. ○ If you invest $5 today at 15% annual compound interest for 82.3753 years,…6. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $9,200 will be worth $15,767.18 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? 5.83% O6.40% 8.00% O 1.71 % If an investment of $50,000 is earning an interest rate of 8.00%, compounded annually, then it will take a value of $89,052.92-assuming that no additional deposits or withdrawals are made during this time. for this investment to reach Which of the following statements is true-assuming that no additional deposits or withdrawals are made? An investment of $25 at an annual rate of 10% will return a higher value in five years than $50 invested at an annual rate of 5% in the same time. An investment of $50 at an annual rate of…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%.
- 5. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $9,200 will be worth $15,767.18 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? O 8.00% O 5.83% 1.71% O 0.24% If an investment of $50,000 is earning an interest rate of 8.00%, compounded annually, then it will take a value of $89,052.92-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? O If you invest $1 today at 15% annual compound interest for 82.3753 years, you'll end up with $100,000. O If you invest $5 today at 15% annual compound interest for 82.3753 years, you'll end up with $100,000. for…10. Findingthe interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security of $12,000 will be worth $14,292.19 three years in the future, assuming that no additional deposits or withdrawals are made, what is the implied interest rate the investor will earn on the security? 4.50% 4.80% 6.00% 7.20% If an investment of $45,000 is earning an interest rate of 8.50% compounded annually, it will take for this investment to grow to a value of $79,656.40—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 $5 today at 15% annual compound interest for 82.3753 years, you’ll end up with approximately $100,000. If you invest $1 today at 15%…5. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $2,000 will be worth $3,524.68 five 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? O 12.00% O 1.76% O 0.35% O 5.67% If an investment of $40,000 is earning an interest rate of 8.00%, compounded annually, then it will take for this investment to reach a value of $56,554.46-assuming that no aditional deposits or withdrawals are made during this time. Which of the following statements is true-assuming that no additional deposits or withdrawals are made? O If you invest $1 today at 15% annual compound interest for 82.3753 years, you'll end up with $100,000. O If you invest $5 today at 15% annual compound interest for 82.3753 years, you'll…
- 5. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. If a security currently worth $12,800 will be worth $16,843.93 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? 7.60% 0.19% 4.00% 1.32% If an investment of $40,000 is earning an interest rate of 4.00%, compounded annually, then it will take for this investment to reach a value of $53,679.69—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? It takes 14.21 years for $500 to double if invested at an annual rate of 5%. It takes 10.50 years for $500 to double if invested…4. Finding the interest rate and the number of years The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations. 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? 12.00% 4.52% 9.60% 0.32% If an investment of $35,000 is earning an interest rate of 4.00%, compounded annually, then 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…What is the current value of a security that pays P165,500 per year for 10 years if similar investments now earn 10%. a. P1,016,931.30 b. P1,116,931.30 c. P1,006,931.30 d. P1,216,931.30
- 3. Finding the interest rate and the number of years Aa Aa E The future value and present value equations also help in finding the interest rate and the number of years that correspond to present and future value calculations If a security currently worth $9,200 will be worth $12,106.57 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? 7.60% 0 0.19% О 4.00% О 1.32% If an investment of $35,000 is earning an interest rate of 4.00%, compounded annually, then it will take for this investment to reach a value of $41,755.92-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? It takes 10.50 years for $500 to double if invested at an annual rate of 5%. 0 It takes 14.21 years for $500 to double if invested at an annual rate of 5%.N1 what is the value today of a security that will pay you $46 in three years and $87 six years from now? assume the interest rate is 10%.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…