Declining Discount Rates: Evidence from the UK



Table 1: Estimation Results

Panel A: AR(4) model

Coefficient

Estimate

Std. Error

t-stat.

n

1.201

0.177

6.777

a1

1.054

0.058

18.165

a2

-0.125

0.089

-1.392

a3

-0.443

0.070

6.308

a4

0.368

0.035

10.452

σ2!

0.064

0.005

13.733

Panel B: Regime Switching model

Coefficient

Estimate

Std. Error

t-stat.

ni

0.760

0.244

3.117

a11

0.700

0.312

2.249

a12

-0.212

0.312

-0.679

n2

1.306

0.082

15.892

a21

1.397

0.079

20.573

a22

-0.530

0.058

-9.094

σ21

0.219

0.047

4.694

σ22

0.014

0.002

8.106

P

0.767

0.101

7.543

Q

0.933

0.033

28.617

Panel C: State Space model

Coefficient

Estimate

Std. Error

t-stat.

n

0.266

0.044

6.091

n1

0.991

0.002

438.82

ln(σe2 )

-2.503

0.104

-24.049

ln(σ2u)

-6.462

0.594

-10.884

Table 2. Certainty Equivalent Discount Factors

Model

Year

3.5%
Constant

AR(4)

Regime

Switching

State
Space

Л

0.96618

0.96618

0.96618

0.96618

20

0.50257

0.48208

0.51472

0.61857

40

0.25257

0.23676

0.26746

0.40678

60

0.12693

0.11778

0.13981

0.27722

80

0.06379

0.05912

0.07354

0.19368

100

0.03206

0.02997

0.0389

0.13775

150

0.00574

0.00569

0.00813

0.06172

200

0.00103

0.00115

0.00177

0.02882

250

0.00018

0.00027

0.00041

0.01379

300

0.00003

0.00008

0.0001

0.00669

350

0.00001

0.00003

0.00003

0.00328

400

0.00000

0.00002

0.00001

0.00161



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