Question

Functions . (a) You are offered an annuity that pays $200 at the end of eachh month, starting at the end of the current month and lasting for four years. The annual interest rate is 3.2% compounded monthly. What is the present value of this annuity? (b) Suppose you need the payments from question la to occur at the start of each month. What is the new present value? (c) A third annuity has the same payment schedule and interest rate to that of question 1b but has present value S12000. Find the value of the regular payments 2. Suppose you want an ordinary annuity with present value S10000 and payments every six months for three years. is 2% compounded every six months. The annual interest rate (a) If the payments start at the end of the month, what is the value of each payment? (b) How long would you need to defer the payments by if you want payments of $2000 per month? Round the number of periods deferred to the next highest whole number and then compute the exact time in years. Algebra 3. An umbrella (U) consists of a handle (H) and a canopy (C). The canopy consists of a piece of nylon fabric (F) and 8 spokes (S). (a) Set up a parts matrix Q, in the order U, H, C, F, S. (b) Find (I -)- (c) Use (I-to set the production required to meet an order for 100 umbrellas and 20 additional pieces of fabric .An open economy has the input output matrix: A- 0.45 0.35 0.25 0.40 The production vector is x = [z,y]T. A demand is realistic if all its components are non negative (a) Find the demand in terms of r,y. (b) If z is set, find inequalities that y must satisfy for a realistic demand. ii. If y is set, find inequalities that r must satisfy for a realistic demand.

Answer 1

200 . 0D 200 2.00 3.2. n=48 20o tmes. n/t ce o 4200 times (W-7781 .. . 200 200 6) に3、2' 200 2o0 200 20 2 3 56 da

200卡ves (o.ou05] $8.21 2000 드 , 00 o, oo& R= 12000 3.92126