Present value of $270 received in year 7 at time 3 is = $270 / (1+6%)^(7-3)
= $270 / 1.06^4
= $270 / 1.26247696
= $213.8653
Present value of $270 received in year 8 at time 3 is = $270 / (1+6%)^(8-3)
= $270 / 1.06^5
= $270 / 1.33822558
= $201.7597
Present value of $270 received in year 9 at time 3 is = $270 / (1+6%)^(9-3)
= $270 / 1.06^6
= $270 / 1.41851911226
= $190.3393
Present value of $270 received in year 10 at time 3 is = $270 / (1+6%)^(10-3)
= $270 / 1.06^7
= $270 / 1.50363025899
= $179.5654
Present value of $270 per year between 7 to 10 years = PV of $270 of 7th year at time 3 + PV of $270 of 8th year at time 3 + PV of $270 of 9th year at time 3 + PV of $270 of 10th year at time 3
= $213.8653 + $201.7597 + $190.3393 + $179.5654
= $605.5297
= $605.53
Therefore, Present value of $270 per year between 7 to 10 years = $605.53
A bank makes payments continuously at a rate of $270 per year. The payments are made...
An perpetuity has continuous payments at a rate of 800 per year. Find the present value of this perpetuity using a nominal rate of interest of 9% compounded continuously. Round your answer to two decimal places.
5.6b Bank 1 lends funds at a nominal rate of 9% with payments to be made semiannually. Bank 2 requires payments to be made quarterly. If Bank 2 would like to charge the same effective annual rate as Bank 1, what nominal interest rate will they charge their customers? Do not round intermediate calculations. Round your answer to three decimal places.
(a) Payments of RM 100 are made continuously throughout the year for 8 years and interest is credited at a constant force of interest, 8, of 5%. Calculate the future value of these payments at the end of 8 years. (b) Now assume a payment of RM 100 is made continuously throughout the first year, a payment of RM 200 is made continuously throughout the second year, and so on until a payment of RM 800 is made continuously throughout...
8. Juan deposits $4,300 into a savings account that pays 6.9% per year, continuously compounded. What is the effective annual interest rate? Determine the value of his account at the end of four years. The effective annual interest rate is %. (Round to two decimal places.) The value of this account at the end of four years is $ (Round to the nearest dollar.)
(1 point) An annuity-immediate makes payments of 200 per year payable quarterly for 8 years at an effective annual interest rate i = 3%. The accumulated value of this annuity is AV = (1 point) An annuity makes payments of 1700 at the end of every 9 years over 81 years at a nominal annual interest rate of 5.6% compounded quarterly. The present value of this annuity is PV =
9. An investment will generate $3100 per year in perpetuity. If the money is dispensed continuously throughout the year and if the prevailing annual interest rate remains fixed at 4% compounded continuously, what is the present value of the investment? Round the answer to two decimal places. State the answer in a complete sentence. 9. An investment will generate $3100 per year in perpetuity. If the money is dispensed continuously throughout the year and if the prevailing annual interest rate...
A 20-year maturity bond with par value $1,000 makes semiannual coupon payments at a coupon rate of 8%. a. Find the bond equivalent and effective annual yield to maturity of the bond if the bond price is $950. (Round your intermediate calculations to 4 decimal places. Round your answers to 2 decimal places.) Bond equivalent yield to maturity Effective annual yield to maturity b. Find the bond equivalent and effective annual yield to maturity of the bond if the bond...
A 10-year maturity bond with par value of $1,000 makes semiannual coupon payments at a coupon rate of 7%. Find the bond equivalent and effective annual yield to maturity of the bond for the following bond prices. (Round your answers to 2 decimal places.) Bond Prices Bond Equivalent Annual Yield to Maturity Effective Annual Yield to Maturity a. b. c. $ $ $ 940 1,000 1,040
(1 point) Payments under a continuous perpetuity are made at the periodic rate of 1.03' at time t. The annual effective rate of interest is 0.12. Find the present value of the perpetuity. ANSWER- (1 point) Payments under a continuous perpetuity are made at the periodic rate of 1.03' at time t. The annual effective rate of interest is 0.12. Find the present value of the perpetuity. ANSWER-
5.6 Quantitative Problem: Bank 1 lends funds at a nominal rate of 6% with payments to be made semiannually. Bank 2 requires payments to be made quarterly. If Bank 2 would like to charge the same effective annual rate as Bank 1, what nominal interest rate will they charge their customers? Do not round intermediate calculations. Round your answer to three decimal places. %