Which of the following investments would have the highest future value at the end of 10 years? assume that the effective annual rate for all investments is the same and is greater than zero. a. investment d pays $2,500 at the end of 10 years (just one payment). b. investment a pays $250 at the beginning of every year for the next 10 years (a total of 10 payments). c. investment e pays $250 at the end of every year for the next 10 years (a total of 10 payments). d. investment c pays $125 at the beginning of every 6-month period for the next 10 years (a total of 20 payments).

The investment that will have the highest future value is option b.

Explanation:

First lets suposse the effective annual rate is 10%  

a. Future value= $2,500  

c. First you must obtain the net present value of all cash flows with the formula attached, for example:  

NVP= ($250/(1+10%)^1)+($250/(1+10%^2)+($250/(1+10%^3)... and so on until year 10  

With the excel formula "NPV" you can calculate the net present value specifying the interest rate, the cash flows.  

The NPV= $1,536.14  

And then you calculate the future value of this answer with this formula:  

VF=VP(1+i)^n  

VF= $1,536.14*(1+10%)^10  

VF=$3,984.36  

b. If payments are due at the beginning of every year means that at year 0 you start with $250. You must calculate the NPV in this way  

NPV= $250+($250/(1+10%)^1)+ )+($250/(1+10%^2)+($250/(1+10%^3)... and so on until year 10  

NPV= $1,786,14

And then you calculate the future value of this

VF= $1,786,14*(1+10%)^10  

VF=$4,632.79

d. First, you must convert the annual interest rate into semi-annually interest

10% Annually effective is 4,88% Semi-anually effective

NPV=$125+($125/(1+4,88%)^1)+ )+($125/(1+4,88%^2)+($125/(1+4,88%^3)... and so on until period 20

NPV=$1,698.75

And then you calculate the future value of this

VF= $1,698 *(1+10%)^10  

VF=$4,405.37

The investment that will have the highest future value is option b.

in 2001, dell computer became the world’s largest personal computer vendor, continuing to

gain market share and post profits in an industry struggling with slumping sales and billions of

dollars in losses. dell sells 90% of its pcs directly to the final customer, largely bypassing the

reseller channel that accounts for most of the world’s pc sales. this direct customer relationship

is the key to dell’s business model, and provides distinct advantages over the indirect sales

model. dell’s direct relationship with the customer allows it to tailor its offerings to customer

needs, offer add-on products and services, and use the internet to offer a variety of customer

services. in addition, dell’s pcs are built to customers’ specifications upon receipt of an order,

giving dell additional advantages over indirect pc vendors who must try to forecast demand and

ship products based on those forecasts. dell’s direct sales and build-to-order model has achieved

superior performance in the pc industry in terms of inventory turnover, reduced overhead, cash

conversion, and return on investment (kraemer, et al., 2000).

explanation: