ou can assume that all payments are made at the beginning of the period and use "1" for the "type" argument in the formula. A. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded annually? B B. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded quarterly? 4 5 6 27 28 29 C. Suppose you invest St $ 570 monthly. What is the future value of the investment in 29 years, if interest at 5% is compounded monthly? Question 1 Question 2 + Ready Accessibility: Investigate MAR 17 A W +
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- An investment is represented by the equation A(t)=10,250(1+ 0.04/12)120 How many years has the account been accumulating interest?Assume that at the beginning of the year, you purchase an investment for $6,500 that pays $95 annual income. Also assume the investment's value has increased to $7,050 by the end of the year. a. What is the rate of return for this investment? Note: Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.Derive an equation to find the end-of-year future sum F that is equivalent to a series of n beginning-of-year payments B at interest rate i. Then use the equation to determine the future sum F equivalent to six B payments of $100 at 8% interest.
- Assume that at the beginning of the year, you purchase an investment for $7,200 that pays $100 annual income. Also assume the investment's value has decreased to $6,800 by the end of the year. (a) What is the rate of return for this investment? (Input the amount as a positive value. Enter your answer as a percent rounded to 2 decimal places.) Rate of return % (b) Is the rate of return a positive or negative number? Positive O Negativeanswer if its true or false 1) Based on the following information calculate the value at time 2 of the investment made at time zero. This future value is equal to 113. discount time investment (years) rate 6% 100 1Assume that you will receive $2500 at the end of 6 years and want to know the present value (PV) of that future sum. Assuming a positive interest rate (required rate of return), which of the following is a possible number for the present value of the $2500? Even without knowing the interest rate, it is possible to answer this question. O A. $2742.53 B. $2632.45 O C. $1967.25 OD. $2572.50 O E. None of the above is a possible number.
- Example 1. Compound interest When interest is compounded continuously, the rate of change of the amount x of the investment is proportional to the amount present. In this case, the proportionality constant is the annual interest rate r (as a decimal); that is, dx/dt = rx. (a) If $2000 is invested at 8%, compounded continuously, find an equation for the future value of the investment as a function of time t, in years. (b) How long will it take for the investment to double? (c) What will be the future value of this investment after 35 years?uestion 1: Solve the following TVM problems using Excel formulas. You MUST use Excel formulas (FV or PV) to receive credit. ou can assume that all payments are made at the beginning of the period and use "1" for the "type" argument in the formula. A. Suppose you invest 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded annually? B. Suppose you invest $ 11,400 today. What is the future value of the investment in 29 years, if interest at 7% is compounded quarterly? C. Suppose you invest $ 570 monthly. What is the future value of the investment in 29 29 years, if interest at + 5% is compounded monthly? 5 6 7 8 19 20 21 22 23 24 25 26 27 28 29 Question 1 Question 2 + Ready Accessibility: Investigate MAR 17 A 国 W X(1) What is the value at the end of Year 3 of the following cash flow stream if the quoted interest rate is 10%, compounded semiannually? (2) What is the PV of the same stream? (3) Is the stream an annuity? (4) An important rule is that you should never show a nominal rate on a time line or use it in calculations unless what condition holds? (Hint: Think of annual compounding, when INOM = EFF% = IPER.) What would be wrong with your answers to parts (1) and (2) if you used the nominal rate of 10% rather than the periodic rate, INOM/2 = 10%/2 = 5%?
- Suppose that an investment promises to pay a nominal 9.6 percent annual rate of interest. What is the effective annual interest rate on this investment assuming that interest is compounded (a) annually? (b) semiannually? (c) quarterly? (d) monthly? (e) daily (365 days)? (f ) continuously? (Note: Report your answers accurate to four decimal places –e.g., 0.0987 or 9.87%.)(a) Find the present and future value of an income stream of $6000 per year for a period of 10 years if the interest rate, compounded continuously, is 2%. Round your answers to two decimal places. Present value = $ Future value $ (b) How much of the future value is from the income stream? How much is from interest? Round your answers to two decimal places. The amount from the income stream is $ The amount from the interest is $Assume that at time 0 a sum L is lent for a series of n yearly payments. The rth payment, of amount xr, is due at the end of the rth year. Let the effective annual interest rate for the rth year be ir. Give an identity which expresses L in terms of the xr and ir.