The first dividend in year 9 ((D9 )) is calculated using (D8 ): D9 = D8 × (1+ g) = 6.70 × 1.05 = 7.035 Calculate the present value of the perpetuity starting in year 9:
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- HelpWhat is the future value of $7,790 at the end of 7 periods at 8% compounded interest? (Round factor values to 5 decimal places, e.g. 1.25124 and final answer to 0 decimal places, e.g. 458,581.)From Ordinary Annuities; Calculate parts A, B & C assuming they are Annuities Due. A.$600 per year for 12 years at 8% B.$300 per year for 6 years at 4% C.$500 per year for 6 years at 0%
- Here is a multiple decrement table: Age x 60 0.13 0.17 61 0.08 0.14 62 0.11 0.11 63 0.14 0.08 64 0.17 0.05 65 0.20 0.02 бб 0.23 0.02 67 0.26 0.02 68 0.29 0.02 69 0.32 0.02 70 0.95 0.05 r, is the rate of retirement, and t, is the rate of termination. Decrements occur at the end of the year. No one ever dies! If you retire, you receive $100 per year for life (thus in perpetuity), with the first payment happening 1 year after you retire. i = .05 We currently have 1,000 employees who are all aged 60. Calculate the expected present value of all of the retirement benefits:7. Present Value of a Perpetuity Determine the present value of each of the following perpetuities. Part Annual CF Interest Rate A $34,000 B $90,000 C $6,000 D $60,000 8% 10% 6% 5%Following is a table for the present value of $1 at compound interest: Year 6% 10% 1 0.943 0.909 0.890 0.826 0.840 0.751 0.792 0.683 5 0.747 0.621 Following is a table for the present value of an annuity of $1 at compound interest: Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables provided, the present value of $9,186.00 (rounded to the nearest dollar) to be received at the end of each of the next 4 years, assuming an earnings rate of 12%, is Oa. $9,186 Ob. $22,065 2 3 4 4 Oc. $27,898 Od. $33,116 12% 0.893 0.797 0.712 0.636 0.567
- What is the present value of a perpetuity that pays annual, end-of-year payments of $850 every year? Use a nominal rate of 8.00%. O $10,625 O $10,952 O $10,241 O $9,133 O $9,004The present value of a perpetuity paying 11 at the end of every 4 years is 0.82. Find the annual effective rate of interest i. A. 5.51% B. 22.06% C. 33.09% D. 31.51% E. 8.82%What is the future value of $100 invested in an account for eight years that earns 10% annual interest, compounded semiannually (rounded to the nearest whole dollar)? a. $214.b. $216.c. $218.d. $220.
- Following is a table for the present value of $1 at compound interest: Year 6% 10% 12% 1 0.943 0.909 0.893 2 0.890 0.826 0.797 3 0.840 0.751 0.712 4 0.792 0.683 0.636 5 0.747 0.621 0.567 Following is a table for the present value of an annuity of $1 at compound interest: Year 6% 10% 12% 1 0.943 0.909 0.893 2 1.833 1.736 1.690 3 2.673 2.487 2.402 4 3.465 3.170 3.037 5 4.212 3.791 3.605 Using the tables provided, the present value of $6,000 to be received at the end of each of the next 4 years, assuming an earnings rate of 10%, is Group of answer choices $25,272 $19,020 $20,790 $14,412UNIT 7-11Following is a table for the present value of $1 at compound interest: Year 6% 1 0.943 2 0.890 3 0.840 4 0.792 5 0.747 Following is a table for the present value of an annuity of $1 at compound interest: Year 6% 10% 1 0.943 0.909 2 1.833 1.736 2.673 2.487 3.465 3.170 4.212 3.791 10% 0.909 0.826 0.751 0.683 0.621 3 12% 0.893 0.797 0.712 0.636 0.567 12% 0.893 1.690 2.402 3.037 5 3.605 Using the tables provided, the present value of $6,103.00 (rounded to the nearest dollar) to be received at the end of each of the next 4 years, assuming an earnings rate of 12%, is Oa. $14,659 Ob. $6,103 Oc. $18,535 Od. $22,001