Now explain this meaning of G(s, t) when t is less than s. We go backwards inFor t

Present value of a future amount With interest rate (r), period (n) and future value (FV), the…

Now explain this meaning of G(s, 1 Forts, G(s, t) is the value at time t that will grow to equal 1 at time s. When t = = 0, G(s, 0) is the "present value" of a promise to pay $1 at time s. If the interest rate is a = 0.1 10% per year, what is the present value G(s, 0) of million dollar inheritance promised in s = 10 years?

Now explain this meaning of G(s, 1 Forts, G(s, t) is the value at time t that will grow to equal 1 at time s. When t = = 0, G(s, 0) is the "present value" of a promise to pay $1 at time s. If the interest rate is a = 0.1 10% per year, what is the present value G(s, 0) of million dollar inheritance promised in s = 10 years?

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Similar questions

Consider a perpetuity with a coupon of 100. Imagine that the perpetuity is purchased at time t when the market interest rate is equal to 5%. Furthermore, imagine that the coupon income is taxed at 40% and that capital gains are taxed at 20%. What is the after tax rate of return if the perpetuity is sold at time t+1 when the market interest rate continues to be equal to 5%? 0% O 2% 5% None of the above
TIR! I pro } 7. Consider a perpetual stream of $1,000 per year. If the interest rate is 10% per year, how much is this perpetuity worth today? /
4. If you deposit $1000 in one year, $2000 in two years, and $3000 in three years, how much will you have in three years? Assume a 7 percent annum interest rate. NPV FV
Keith Riggins expects an investment of $125,473.50 to return $15,000 annually for several years. If Riggins earns a return of 10%, how many annual payments will he receive? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from the tables provided. Round "Table Factor" to 4 decimal places.) Present Value Annuity Payment = ון Table Factor Annual Payments payments
!
10. You are considering buying an asset which will give you two payments, one payment for one year later and the other for two years later. Assume that the asset pays you $8,000 (sure amount) one year later, but two years later cither $6,000 with the probability of 1/2 or $4,000 with the probability of 1/2. Then what would be the fair price of this asset assuming thati=10%? (How much are you willing to pay now for this asset?
P=P1,000 r= 5% t= 10 years m=4 What would be the future value of the ordinary annuity of the given data?
If $43,000 is invested now, which of the following value is closest to the equivalent future dollars 6 years from now to earn a real interest rate of 3% per year when the inflation rate is 6% per year? Select one: а. 51,344 b. 72,833 c. 66,709 d. 79,519 е. 60,996
g What is the future value of an ordinary annuity of S10 compounded at 10 percent? What would be the future value if it were an an- nuity due? h. You have just borrowed $100,000, and you agree to pay it back over the next 25 years in 25 equal end-of-year payments plus 10 percent compound interest on the unpaid balance. What will be the size of these payments? LWhat is the present value of a $1,000 perpetuity discounted back to the present at 8 percent? 000 per year for 7 years
6. If the effective interest rate is i per period and you invest b dollars at time 0, then the value at time n is b(1 + i)”. For example, if at time 0 you invest $100 at an effective interest rate of 6% per year, then the value at time 1 is $100(1+0.06) = $106. dollars. At time 2, the value will be $100 (1 + 0.06)² = $112.36. Similarly, the present value (value at time 0) of $100 received 2 years from now would be $100(1+0.06)-²≈ $88.99. Sometimes it's convenient to define d = 1/(1 + i) so that we would have $100(1+i)n = $100d". If the interest rate per year is i compounded semiannually, then the effective annual interest rate is (¹ + 2)²³ - 1₁ 1. For example, if the interest rate is 6% per year compounded semiannually, the effective annual interest rate is 1 + .06 2 2 - 1 ≈ 6.09%. If the interest rate per year is i compounded quarterly, then the effective annual interest rate is 4 (¹ + 4) * - 1 1. (a) If the interest rate is 6% per year compounded quarterly, what is the effective…
Find the future value of a $2500 investment if the interest rate is 0.25% compounded monthly for years. (Round to the nearest cent.) S x Stani Arower
7. Future values (S2.1) Compute the future value of a $100 investment for the following combinations of rates and times. = 6%, t = 10 years. b. r= 6%, t = 20 years. c. r = 4%, t = 10 years. d. r = 4%, t = 20 years. a. r =

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