Question: How to distinguish future value, present value, future value of annuity and present value of annuity ? After reading their definitions, I still can't distinguish

EXERCISES 1. How much more would you willing to pay today for an investment offering $10,000 in 4 years rather than the normally advertised 5-year period? Your discount rate is 8%. PVA 10,000 X 48% : 1,950,30 PV-Pr. 544.47 PV. 10,00* 18 6.805.83 2. How much must be invested today in order to generate a 5-year annuity of S1,000 per year, with the first payment 1 year from today, at an interest rate of 12%? PVA 1x pa [in Cit21) ] = 3,104.18 3605 3. How much must be saved annually, beginning 1 year from now, in order to accumulate $50,000 over the next 10 years, earning 9% annually? FVAPVAX (1+r). 2.300 x termo ] 41483 m) 30, no C x 7.10.49%)"-1] ..) 323, 4111.30 C 3,241 4. If a borrower promises to pay you $1,900 9 years from now in return for a loan of $1,000 today, what effective annual interest rate is being offered? EXERCISES PV. . 1. First Bank pays 9% simple interest on its savings account balances, whereas Second Bank pays 9% interest compounded annually. If you made a S5000 deposit in each bank, how much more money would you eam from your Second Bank account at the end of 10 years? tooox ) (+>336.82 2. At 9 percent interest, how long does it take to double your money? Let $/or be PV, $o be FV. 9% 200 - 100 (to.ight 18.04 years 3. Investment X offers to pay you $7,000 per year for nine years, whereas Investment Y offers to pay you $9,500 per year for five years. Which of these cash flow streams has, the higher present value if the discount rate is 9%? Luwstaat X PVx: 70*7 (-20) ) = 41966.7 zvy: Grow Close 367549 95 704 4. An investment offers $4,500 per year for 15 years, with the first payment occurring one year from now. If the required return is 8 percent, what is the value of the investment? TV= w[oi x 6 =t L - Tae] = $ 34 r} 5. What is the future value in 3 years of $1000 invested in an account with a stated annual interest rate of 10 percent, a) compounded annually? b) compounded semiannually? c). Spotany a) #vo pru+r)" Fro Prcle / A2 = 1000 (1+on' = $15401 Fuspy_1+5)*** = 1000 (14 21
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