Quaker state inc. offers a new employee a single-sum signing bonus at the date of employment. alternatively, the employee can receive $8,000 at the date of employment plus $20,000 at the end of each of his first three years of service. assuming the employee's time value of money is 10% annually, what lump sum at employment date would make him indifferent between the two options?

$57,737

Explanation:

In this question, we have to compute the present value which is shown below :

The discount factor should be computed by

= 1 ÷ (1 + rate) ^ years

where,  

rate is 10%  

Year = 0,1,2,3

Discount Factor:

For Year 0 = 1 ÷ 1.10^0 = 1

For Year 1 = 1 ÷ 1.10^1 = 0.9091

For Year 2 = 1 ÷ 1.10^2 = 0.8264

For Year 3 = 1 ÷ 1.10^3 = 0.7513

So, the calculation of a Present value of all yearly cash inflows are shown below

= Year 0 cash inflow × Present Factor of Year 0  +Year 1 cash inflow × Present Factor of Year 1 + Year 2 cash inflow × Present Factor of Year 2 + Year 3 cash inflow × Present Factor of Year 3

= $8,000 × 1 + $20,000 × 0.9091 + $20,000 × 0.8264 + $20,000 × 0.7513

= $8,000 + $18,181.82 + $16,528.93 + $15,026.23

= $57,737

answer; microeconomics;

among other factors, composers started writing dynamic markings in their scores because "new instruments allowed for more dynamic ranges and contrast."

dynamics allude to the loudness or softness of music. dynamics offer an approach to demonstrate articulation in sheet music. they to drive the enthusiastic substance of music through volume and force. maybe you could alter both the volume and the shading profundity on your screen at the same time. we can likewise think about the force side of elements as the quality of a note. a few notes are intended to be played delicately and gently, while others are intended to be played all the more firmly.  

some dynamics markings have a letter 'm,' which remains for mezzo, signifying 'medium.' so a mezzo piano unique stamping resembles this (mp) and intends to play medium calm, while a mezzo specialty dynamic resembles this (mf) and intends to play medium loud.