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Table 3 Calculating YLL(3, 0) for a person who dies on their 55th birthday with age-specific life expectancy of 10 years, annual discounting as e -rt , and the continuous time adjustment factor

From: Calculating disability-adjusted-life-years lost (DALYs) in discrete-time

t

Year

Continuous

Adjusted

Discrete

Discounted

 

lost

time

year lost

time

and

  

adjustment

for

discount

adjusted

  

factor

continuous

factor

year lost

   

time

  
 

A

B

C = A*B

D = e-rt

E = C*D

0

1

0.9851

0.985148882

1.000

0.9851

1

1

0.9851

0.985148882

0.970

0.9560

2

1

0.9851

0.985148882

0.942

0.9278

3

1

0.9851

0.985148882

0.914

0.9004

4

1

0.9851

0.985148882

0.887

0.8737

5

1

0.9851

0.985148882

0.861

0.8479

6

1

0.9851

0.985148882

0.835

0.8229

7

1

0.9851

0.985148882

0.811

0.7985

8

1

0.9851

0.985148882

0.787

0.7749

9

1

0.9851

0.985148882

0.763

0.7520

Sum

10

  

Sum of

8.6394

of

   

discountedt

 

years

   

and adjusted

 

lost

   

years lost